Browse Math problems Studdy Solved!

Problem 63101

Find all rational zeros of $f$ . Then (if necessary) use the depressed equation to find all roots of the equation $f(x)=0$ . $f(x)=2 x^{3}-x^{2}-14 x+7$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The set of all zeros of the given function is $\square$ \}. (Simplify your answer. Type an exact answer, using radicals as needed. Use a comma to separate answers as $n$ B. There are no real zeros.

See Solution

Problem 63102

Question The marginal cost of manufacturing $x$ units of a certain product is $C^{\prime}(x)=\frac{x^{2}}{2}-2 x+29$ , in dollars per unit. Find the increase in cost if the production level is raised from 4 units to 8 units.
Enter your answer as a decimal, rounded to the nearest cent.
Provide your answer below:

See Solution

Problem 63103

If the demand function is $P=100-4 q$ , ind the level of output at which total revenue is maximum and also find the naximum revenue.

See Solution

Problem 63104

4.99 ALEKS www-awa.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNsIkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2gj_rnanaokTTH5DkL2d5v0LUaS1SKOKqSfrDfSASKtcqJaF... كل الإشارات المرجعين Google Translate News Maps YouTube Probability Outcomes and event probability 0/5 Mayar Español
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline & \multicolumn{8}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\ \hline & HHH & THH & TH & $\pi T$ & HTH & HTT & HHT & THT & \\ \hline Event A: Two or more tails & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & \\ \hline Event B: More tails than heads & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & — \\ \hline Event C: No tails on the first two tosses & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular} $\sqrt{\text { Fixplanation }}$ Check (9) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

See Solution

Problem 63105

Given that $\sin \theta=-\frac{1}{3}$ and that $\cos \theta<0$ , then determine the exact value of $\tan \theta$ Select one: a. $-\sqrt{8}$ b. $\frac{1}{\sqrt{8}}$ c. $\sqrt{8}$ d. $-\frac{1}{\sqrt{8}}$

See Solution

Problem 63106

Evaluate the following expression. $\log _{3} 3^{3}$ $\log _{3} 3^{3}=$ $\square$ (Simplify your answer.)

See Solution

Problem 63107

Find the limit $L$ . $L=\lim _{x \rightarrow-5} \frac{2 x^{2}+14 x+20}{x+5}$

See Solution

Problem 63108

www-awa.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-IBgucpIG1tT6kRBabGFF3MoAkZ_UVx0N2O2gj_rा كل الإشارات الا SCFHS = تسجيل الدخول إنشاء Apple ID الخا... مارستى منصة سطر التعليمية Probability Determining a sample space and outcomes for an event: Experiment... ? QUESTION A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling the number 2 or 5 . If there is more than one element in the set, separate them with commas.
Sample space: $\square$ Event of rolling the number 2 or 5 : $\square$ EXPLANATION

See Solution

Problem 63109

Select all the inflection points for the function $y=-\cos (x)-\frac{x^{2}}{2}$ .

See Solution

Problem 63110

27. The chance that an phone is defective is $3 \%$ . If 50 phones are chosen at random. What is the probability that 4 are defective?

See Solution

Problem 63111

Mail - JENIFFER MARIE - [-/2 Points] DETAILS MY NOTES LARCALCET8 2.R.043.
Use a graphing utility to graph the function and estimate the limit $L$ . Use a table to reinforce your conclusion. Then find the limit $L$ by analytic methods. $\begin{array}{l} \lim _{x \rightarrow 0} \frac{\sqrt{2 x+4}-2}{x} \\ L=\square \end{array}$
Show My Work (Required)

See Solution

Problem 63112

Let $A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 0 & -1 \\ 4 & 1 & 2\end{array}\right]^{\prime}$ , then $(\operatorname{adj}(A))_{12}=$
6
05 $-6$

See Solution

Problem 63113

Find the limit $L$ (if it exists). (If an answer does not exist, enter DNE.) $\begin{array}{l} \lim _{x \rightarrow 9^{-}} \frac{x-9}{x^{2}-81} \\ L=\square \end{array}$
If it does not exist, explain why. The limit does not exist at $x=9$ because the function approaches different values from the left and right side of 9. The limit does not exist at $x=9$ because the function value is undefined at $x=9$ . The limit does not exist at $x=9$ because the function does not approach $f(9)$ as $x$ approaches 9 . The limit does not exist at $x=9$ because the function is not continuous at any $x$ value. The limit exists at $x=9$ .

See Solution

Problem 63114

How much will Cole save if he buys 14 gallons of gas at a price of $\$ 2.149$ per gallon instead of purchasing the gas at a different station that charges $\$ 2.259$ ? Round to the nearest cent. $\$ 1.54$ $\$ 0.90$ $\$ 2.00$ $\$ 9.00$

See Solution

Problem 63115

Find the slope of the graph of the function at the given point. $\begin{array}{l} f(x)=\frac{x+8}{\sqrt{4 x+1}},(0,8) \\ f^{\prime}(0)=\square \end{array}$

See Solution

Problem 63116

1. Construct a scatter diagram of the two variables, placing GNP per capita (in $\$ 1000$ s) on the X -axis and $\%$ willing to pay more for environmental protection on the Y -axis.
2. The correlation coefficient is .365 . What does this tell you about the relationship between the two variables?
3. The regression equation for this data provides us with the following results: $\begin{array}{l} \mathrm{Y}=49.19+0.59 \mathrm{X} \\ \mathrm{P}<.01 \end{array}$
Interpret this equation. What do the intercept and slope tell you about the relationship between the two variables? What else can you report about these results?

See Solution

Problem 63117

Find the ranges shown for the projectiles in the above image for an initial velocity of $50 \mathrm{~m} / \mathrm{s}$ at the given initial angles. a) $75^{\circ}$ $\square$ m b) $45^{\circ}$ $\square$ c) $15^{\circ}$ $\square$ m

See Solution

Problem 63118

theme
Question 7 of 18 The angle $\theta$ between the vectors $u=(1,-2,3)$ and $v=(3,-1,-2)$ equal to $\cos (1 / 14)$ $\cos ^{-1}(1 / 14)$ $\cos ^{-1}(-1 / 14)$ $\cos ^{-1}(-2 / 14)$

See Solution

Problem 63119

MATh140 Second Firstsem-2024-2025, (161745)(-4) mentie
Question 8 of 18 A matrix that is both sympetric and upper triangular must be a diagonal matrix. True Falle

See Solution

Problem 63120

Theme
Question 9 of ${ }^{18}$ The unit vector parallel to the vector $u=(2,4,-4)$ is $(1 / 5,2 / 5,-2 / 5)$ $(1 / 9,2 / 9,-2 / 9)$ $(-1 / 3,-2 / 3,2 / 3)$ $(1 / 18,2 / 18,-2 / 18)$

See Solution

Problem 63121

Question 16 of 18 Let $A$ be $2 \times 2$ matrix with $\operatorname{det}(A)=-2$ , then $\operatorname{det}\left(4 A^{-1}\right)=$ 8 - 2 2 $1 / 8$

See Solution

Problem 63122

Find the $x$ -values (if any) at which $f$ is not continuous. State whether the discontinuities are removable or nonremovable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) $f(x)=\frac{x+2}{x^{2}-2 x-8}$ removable discontinuities $x=$ $\square$ nonremovable discontinuities $\quad x=$ $\square$

See Solution

Problem 63123

Work out the volume of the cylindrical tin of paint below. Give your answer in terms of $\pi$ .

See Solution

Problem 63124

Determine whether $f(x)$ approaches $\infty$ or $-\infty$ as $x$ approaches 4 from the left and from the right. $\begin{array}{r} f(x)=\frac{-1}{(x-4)^{2}} \\ \lim _{x \rightarrow 4^{-}} \frac{-1}{(x-4)^{2}}=\square \\ \lim _{x \rightarrow 4^{+}} \frac{-1}{(x-4)^{2}}=\square \end{array}$ $\square$ $\square$

See Solution

Problem 63125

Use the position function $s(t)=-16 t^{2}+v_{0} t+s_{0}$ for free-falling objects. A ball is thrown straight down from the top of a 800 -foot building with an initial velocity of -20 feet per second. (a) Determine the position and velocity $v(t)$ functions for the ball. $\begin{array}{l} s(t)=\square \\ v(t)=\square \end{array}$ (b) Determine the average velocity, in feet per second, on the interval [1, 2]. $\qquad$ $\mathrm{ft} / \mathrm{s}$ (c) Find the instantaneous velocities, in feet per second, when $t=1$ and $t=2$ . $\begin{array}{ll} v(1)= & \mathrm{ft} / \mathrm{s} \\ v(2)= & \mathrm{ft} / \mathrm{s} \end{array}$ (d) Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.) $\qquad$ s (e) Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.) $\square$ $\mathrm{ft} / \mathrm{s}$

See Solution

Problem 63126

14. [-/2 Points] DETAILS MYNOTES
Find the derivative of the function. $\begin{array}{l} y=\ln \left(\sqrt{\frac{x^{2}+16}{x^{2}-16}}\right) \\ y^{\prime}=\square \end{array}$

See Solution

Problem 63127

$\begin{array}{l}m+n=9 \\ m-n=2\end{array}$

See Solution

Problem 63128

Question 9 Not yet answered fligg quartion
If $f(x)=\left\{\begin{array}{ll}\frac{x^{2}-x}{x^{2}-1} & \text { if } x>1 \\ 2 k-3 & \text { if } x \leq 1\end{array}\right.$ is continuous at $x=1$ , then $k=$ $\frac{1}{2}$ $\frac{3}{4}$ 1 $\frac{7}{4}$ $\frac{-7}{4}$

See Solution

Problem 63129

25. Consider the reaction: $\mathrm{Zn}+2 \mathrm{HCl} \rightarrow \mathrm{ZnCl} 2+\stackrel{\text { O }}{\mathrm{H}} 2$ Which one of the following statements is correct? A. Zinc is the oxidizing agent B. Hydrogen atoms in HCl get reduced C. Zinc gets reduced
Đ. HCl is the reducing agent E. Oxidation-reduction is not involved in this reaction

See Solution

Problem 63130

Find the limit $L$ (if it exists). (If an answer does not exist, enter DNE.) $\begin{array}{l} \lim _{x \rightarrow 5^{-}} \frac{|x-5|}{x-5} \\ L=\square \end{array}$
If it does not exist, explain why. The limit does not exist at $x=5$ because the function is not continuous at any $x$ value. The limit does not exist at $x=5$ because the function approaches different values from the left and right side of 5 . The limit does not exist at $x=5$ because the function value is undefined at $x=5$ . The limit does not exist at $x=5$ because the function does not approach $f(5)$ as $x$ approaches 5 . The limit exists at $x=5$ .

See Solution

Problem 63131

21. [-/2 Points] DETAILS MYNOTES LARCALCEI8 3.R.048.
Use the Product Rule or the Quotient Rule to find the derivative of the function. $\begin{array}{l} g(x)=x^{9} \cot (x)+7 x \cos (x) \\ g^{\prime}(x)=\square \end{array}$
Show My Work (Required) $\square$ What stens or reasonino did vou use? Your work counts towards vour score.

See Solution

Problem 63132

(a) $3^{-2} \times 3^{x}=81$
Find the value of $x$ . $3^{-2} \times 3^{x}=3^{4} \quad 3^{-2} \times 3^{x}$ $(x)=4$ $\frac{4}{2} 2$ (b) $x^{-\frac{1}{3}}=32 x^{-2}$ $\begin{array}{c} 3^{-2}+3^{4}-3 \\ =3 \end{array}$
Find the value of $x$ .

See Solution

Problem 63133

【開題 53 空間において，単位球面 $S: x^{2}+y^{2}+z^{2}=1$
上の点 $\mathrm{N}(0,0,1)$ を通る直線 $\ell$ が $S$ と交わる点を $\mathrm{A}(a, b, c)$ とし, $x y$ 平面と交わる点を $\mathrm{B}(p, q, 0)$ とする。ただし， $\ell$ は $x y$ 平面に平行でないとする。このとき， $p, q$ を $a, b, c$ を用いて表せ。逆に， $a, b, c$ を $p, q$ を用いて表せ。

See Solution

Problem 63134

I5: Area Between Curve and x-axis Calculate the area between the curve and the x -axis for: $f(x)=x^{2}-2 x$ from $x=0$ to $x=4$ .

See Solution

Problem 63135

La marcia Un gruppo di attivisti antinucleari ha organizzato üna marcia di protesta verso un sito scelto per la costruzione di una centrale termonucleare. I manifestanti camminano, in pianura, con velocità costante, dirigendosi in linea retta verso le torri di raffreddamento dell'impianto, che sono già state costru- ore 7:30 ite. Alle 7 uno degli organizzatori della marcia antinucleare vede la cima della torre di raffreddamento con un angolo di elevazione di $2^{\circ} ; 30$ minuti più tardi l'ampiezza dell'angolo è pari a $5^{\circ}$ . Si calcoli a che ora il gruppo raggiungerà il cantiere, arrotondando il risultato al minuto.

See Solution

Problem 63136

1) Determina dominio intersezioni con gli assi e segno della funzione $y=\frac{1}{x^{3}-10 x^{2}+25 x}$ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

See Solution

Problem 63137

4) Individua quali fra i seguenti punti non appartengono al grafico della funzione $f(x)=\frac{1-x^{2}}{x}$ [a] $(1 ; 0)$ (b) $(0 ; 1)$ [C] $\left(-2 ; \frac{3}{2}\right)$ (motiva la risposta) [i] $(-1 ; 0)$ [e) $\left(-3 ;-\frac{10}{3}\right)$

See Solution

Problem 63138

12. Risolvi l'equazione $2 \cos ^{2}(x)-3 \sin (x)-1=0$ nell'intervallo $[0,2 \pi]$ . (a) $x=\frac{\pi}{4}, \frac{5 \pi}{4}$ (b) $x=\frac{\pi}{6}, \frac{5 \pi}{6}$ (c) $x=\frac{\pi}{3}, \frac{2 \pi}{3}, \frac{4 \pi}{3}, \frac{5 \pi}{3}$ (d) Nessuna soluzione (e) $x=\arcsin \left(-\frac{1}{3}\right), \pi-\arcsin \left(-\frac{1}{3}\right)$

See Solution

Problem 63139

4) Individua quali fra i seguenti punti non appartengono al grafico della funzione $f(x)=\frac{1-x^{2}}{x}$ [a] $(1 ; 0)$ $5(0 ; 1)$ E $\left(-2 ; \frac{3}{2}\right)$ (motiva la risposta) [] $(-1 ; 0)$ [e $\left(-3 ;-\frac{10}{3}\right)$

See Solution

Problem 63140

4. Исследовать функцию на экстремумы и промежутки монотонности; найти перегиба и указать промежутки выпуклости, нарисовать эскиз трафика ( 356 $y=x^{3}-6 x^{2}+121$

See Solution

Problem 63141

2) Peter bought a video game console for $\$ 1,200$ on an installment plan. The installment agreement included a $14 \%$ down payment and 16 monthly payments of \ $55 each. a) How much is the down payment? b) What is the total amount of the monthly payments? c) How much did Peter pay for the video game console? d) What is the finance charge?$ \square $3) Kate needs to borrow$ \ $30,000$ from a local bank. He uses the table of monthly payments to compare the monthly payments for a $4 \%$ loan for three different time periods. a) What is the monthly payment for a 2-year loan? b) What is the monthly payment for a 3-year loan? $125-0$ marnalutho c) What is the monthly payment for a 5-year loan?

See Solution

Problem 63142

7(3). Используя метод Лагранжа, найдите условные локальные эхстремумы фунвия $z=x^{2} y$ при условин $x+y-2=0$ .

See Solution

Problem 63143

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

See Solution

Problem 63144

Find $\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}$

See Solution

Problem 63145

1. Prove that $2+3 \sqrt{3}$ is an irrational number. It is given that $\sqrt{ } 3$ is an irrational number.

See Solution

Problem 63146

202 Duante le riprese di un film di azione, un oggetto viene lanciato dalla fonestra di un grattacielo a unaltezza di $60,0 \mathrm{~m}$ verso una parete verticale distante $25,0 \mathrm{~m}$ . La velocità con cui l'oggetto viene lanclato è inclinata di $45,0^{8}$ verso lalto rispetto all'orizzontale, mentre quella con cui impatta sulla parete forma un angolo di $60^{\circ}$ verso il basso con lorizzontale. Trova: a. il modulo della velocità di lancio: b. laltezza dal suolo del punto di impatto con la parete. [13,4 m/s; 50,8m]

See Solution

Problem 63147

侪 $\sqrt{2}$ Write the equation in standard form for the hyperbola $-2 x^{2}+y^{2}+12 y-32=0$ $\square$ 믐 () 2 Submit

See Solution

Problem 63148

ame the Field Axiom that was use $x+(y+z)=(x+y)+z$

See Solution

Problem 63149

1. $18^{\circ} \mathrm{C}=$ $\qquad$
2. $176^{\circ} \mathrm{F}=$ ${ }^{\circ} \mathrm{F}$
3. $40^{\circ} \mathrm{C}=$ $\qquad$ ${ }^{\circ} \mathrm{C}$
4. $95^{\circ} \mathrm{F}=$ $\qquad$ ${ }^{\circ} \mathrm{F}$ $\qquad$
5. $37^{\circ} \mathrm{C}=$ $\qquad$ ${ }^{\circ} \mathrm{C}$

See Solution

Problem 63150

$-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}$ . Find the value of $\theta$ in radians. $\sin (\theta)=\frac{1}{2}$
Write your answer in simplified, rationalized form. Do not round. $\theta=$ $\square$

See Solution

Problem 63151

Graph of $f$
The graph of the function $f$ , shown above, has a vertical tangent at $x=-2$ and horizontal tangents at $x=-3$ and $x=-1$ . Which of the following statements is false? A) $f$ is not differentiable at $x=-2$ because the graph of $f$ has a vertical tangent at $x=-2$ . (B) $f$ is not differentiable at $x=0$ and $x=2.5$ because $f$ is not continuous at $x=0$ and $x=2.5$ .
C $f$ is not differentiable at $x=1.5$ and $x=4$ because the graph of $f$ has sharp corners at $x=1.5$ and $x=4$ . (D) $f$ is not differentiable at $x=-3$ and $x=-1$ because the graph of $f$ has horizontal tangents at $x=-3$ and $x=-1$ .

See Solution

Problem 63152

A vector with magnitude 4 points in a direction 295 degrees counterclockwise from the positive $x$ axis. Write the vector in component form. Vector $=$ $\square$ Give each value accurate to at least 1 decimal place Add Work
Submit Question

See Solution

Problem 63153

For $y=48 x-3 x^{5}$ , determine intervals on which the function is increasing, decreasing, concave up, and concave down; relative maxima and minima; inflection points; symmetry; and those intercepts that can be obtained conveniently. Then sketch the graph.
On which interval(s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on $\left(-\frac{2}{\sqrt[4]{5}}, \frac{2}{\sqrt[4]{5}}\right)$ . (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never increasing.
On which interval(s) is the function concave down? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave down on $(0, \infty)$ . $\square$ (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no interval on which the function is concave down.
On which interval(s) is the function concave up? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave up on $(-\infty, 0)$ . $\square$ (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no interval on which the function is concave up.
Determine the relative minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The relative minimum/minima is/are $\square$ . (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) B. There is no relative minimum.

See Solution

Problem 63154

$(-2 a)^{4}$

See Solution

Problem 63155

Determine the following indefinite integrals:
1. $\int_{2}^{5}(-3 v+4) d \dot{v}$
2. $\int_{-1}^{1}\left(t^{2}-2\right) d t$
3. $\int_{-1}^{1}\left(t^{3}-9 t\right) d t$
4. $\int_{1}^{2}\left(\frac{3}{x^{2}}-1\right) d x$
5. $\int_{-3}^{3} v^{1 / 3} d x$
6. $\int_{0}^{2} 6 x d x$

See Solution

Problem 63156

Determine the real roots of the cubic function $f(x)=x^{3}+3 x^{2}-13 x-15$ . Correctly plot the THREE roots on the coordinate plane.

See Solution

Problem 63157

W. A non-viscous incompressible liquid (with homogeneous density $796 \mathrm{~kg} / \mathrm{m}^{3}$ ) is flowing in the pipe shown in the figure. The pipe radius is $R=23.5 \mathrm{~cm}$ in the first section (before the funnelshaped mid section) and $r=14.5 \mathrm{~cm}$ in the second section (after the funnel-shaped mid section). We are informed that the pipe axis is perfectly horizontal, after an analysis of the liquid streamlines. From measurements, we also know that a tracer following the liquid flow moves through at point A with a velocity of $0.790 \mathrm{~m} / \mathrm{s}$ , and the pressure at point B is 725 Pa . What's the pressure at point A?

See Solution

Problem 63158

Question 10 of 10 An object with a mass of 10 kg has a potential energy of 2000 J . Based on this Information, how high above the ground is the object? (10 points) A. 196000 m B. 20000 m

See Solution

Problem 63159

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

See Solution

Problem 63160

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation $2 x+5 y<24$ ? a) $A(7,2)$ b) $\mathrm{B}(2,7)$ (c)) $\mathrm{C}(-3,5)$ d) $D(5,3)$

See Solution

Problem 63161

9. What is $(2 i-5)(4+7 i)$ in simplest form? $14 i^{2}-27 i-20$ $57 i+20$ $-27 i-34$ $-27 i-6$ Clear All

See Solution

Problem 63162

15. What are the solutions for the quadratic function $y=3 x^{2}-8 x+7$ ? $x=\frac{4 \pm i \sqrt{5}}{3}$ $x=\frac{-4 \pm i \sqrt{5}}{3}$ $x=-6 ; x=14$ $x=\frac{8 \pm \sqrt{20}}{6}$

See Solution

Problem 63163

Roger factored a polynomial to determine that the zeros of the polynomial are located at $x=-5, x=-2$ and $x=3$ . Which of the following functions is the factored form of that polyno A. $f(x)=(x+5)(x+2)(x+3)$ B. $f(x)=(x-5)(x-2)(x-3)$ C. $f(x)=(x-5)(x-2)(x+3)$ D. $f(x)=(x+5)(x+2)(x-3)$

See Solution

Problem 63164

Factorise $7(5 x-y)^{2}-(y-5 x)$

See Solution

Problem 63165

6. Simplify $(9 m+n)^{2}-(9 m-n)^{2}$ .

See Solution

Problem 63166

17. Reflect the function $f(x)=x^{3}$ about the $x$ -axis and translate it 3 units to the left to produce $g(x)$ . Which equation represents the function $g(x)$ ?
$g(x)=-(x+3)^{3}$
$g(x)=-x^{3}-3$
$g(x)=-x^{3}+3$
$g(x)=-(x-3)^{3}$

See Solution

Problem 63167

Which system of linear inequalities is graphed? $\left\{\begin{array}{c}x<-2 \\ y \leq-x-1\end{array}\right.$ $\left\{\begin{array}{c}x<-3 \\ y \leq-x-1\end{array}\right.$ $\left\{\begin{array}{c}x<-3 \\ y \leq-f ⿹ 勹+1\end{array}\right.$ $\left\{\begin{array}{c}x \leq-3 \\ y \leq-x-3\end{array}\right.$ 1 2 3

See Solution

Problem 63168

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. $c+5$ $c-5$ $\frac{c}{5}$ $5 c$ Suktronit

See Solution

Problem 63169

$\int \frac{e^{1 / t}}{t^{2}} d t$

See Solution

Problem 63170

11. The function $g(x)=4(x-6)^{3}-2$ was created by transforming $f(x)=x^{3}$ . To create $g(x), f(x)$ was -Choose the correct answer - - , then was $\qquad$ and then was -Choose the correct answer - . - Choose the correct answer - stretched vertically by a factor of 4 Clear All compressed vertically by a factor 4

See Solution

Problem 63171

12. Deux chiffres (de 0 à 9 inclusivement) sont choisis indépendamment et au hasard. Détermine la probabilité qu'ils totalisent 10.

See Solution

Problem 63172

$\qquad$ 2. Which set of ordered pairs represents $y$ as a function of $x$ ? A. $\{(2,5),(3,7),(4,9),(5,11)\}$ B. $\{(-1,6),(-4,3),(0,5),(-1,8)\}$ C. $\{(0,25),(-1,17),(14,-9),(0,-3)\}$ D. $\{(-5,-5),(-5,9),(-4,-2),(-3,1)\}$

See Solution

Problem 63173

On August 15,2025 , Splish Brothers Inc. signs a $\$ 240000,6 \%$ , twelve-month note payable. Which of the following entries correctly records the accrued interest on December 31, 2025?
Interest Expense 14400.00
Interest Payable $14400.00$
Interest Expense 5400.00
Interest Payable
Interest Expense 9000.00
Interest Payable Interest Expense 4800.00
Interest Payable 4800.00

See Solution

Problem 63174

Simplify: $\log _{2} 16 d$ $4 \log _{2} d$ $\log _{2} 4 d$ $\log _{2}(4+d)$ $4+\log _{2} d$

See Solution

Problem 63175

Find the right number that fits the sequence. $\begin{array}{lllllll}7 & 4 & 10 & 12 & 13 & 36 & ?\end{array}$
49 25 16 15 72 Continue

See Solution

Problem 63176

solution. $\begin{array}{l} x+2 y=-8 \\ y=-\frac{3}{2} x-6 \end{array}$
Click to select points on the graph.

See Solution

Problem 63177

Vrite 5.79 in expanded form. $5.79=\quad \times 1+\square \times \frac{1}{10}+\square \times \frac{1}{100}$

See Solution

Problem 63178

Determine wnetner the grapn represents a runction. Yes, this graph represents a function. No, this graph does not represent a function.

See Solution

Problem 63179

6. A bug walks along a straight path. For $t \geq 0$ , the position of the bug is modeded by $B(t)=t^{2}-3 t=28$ . (a) For what times does the bug have a positive velocity? (b) Is the bug speeding up or slowing down att $=1$ Give a reason for your answer. (c) Find the position of the bug when $v(t)=5$ . (d) At what time(s) $t$ does the bug turn around? Give a reason for your answer.
7. For $0 \leq t \leq 2 \pi$ , the position of a particle moving along the $x$ axis is given by $x(t)=\sin ^{2}(t)$ . (a) Find the velocity of the particle at $t=\frac{\pi}{3}$ . Is the particle moving toward or away from the origin when $t=$ Give a reason for your answer. (b) Find $a(\pi)$ .
8. Jevin rides his bike along a straight bike path. Jevin's velocity is modeled by $v(t)=e^{\frac{6}{2}}-t^{2}+20$ wher $0 \leq t \leq 5$ hours and $v(t)$ is measured in miles per hour. (a) Find a(4). Include units of measure.

See Solution

Problem 63180

Find the product. $\begin{array}{l} \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right) \\ \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right)= \end{array}$

See Solution

Problem 63181

$\{(a, m),(m, n),(t, n),(n, n)\}$
Function Not a function

See Solution

Problem 63182

Simplify. $-\left(-3+\frac{i}{5}\right)+\frac{i}{15}-\frac{3+3 i}{5}$
Write your answer in the form a + bi. Simplify all fractions. $\square$

See Solution

Problem 63183

What is the magnitude of an earthquake 1410 times as intense as a standard earthquake? a) 3.15 b) 3.74 c) 2.61 d) 2.96

See Solution

Problem 63184

If the formula $\bar{x}-\frac{1}{n} \sum_{i=1}^{n} x$ is used to find the mean of the following sample, what is the value of $m$ ? $43,36,93,2,28,83,10,22,9,84,41,3,13,20$ A. 13 B. 15 C. 14 D. 16

See Solution

Problem 63185

Divide. $\begin{array}{l} \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}} \\ \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}}= \end{array}$

See Solution

Problem 63186

Addition and Subtraction $1\left(2 x^{2}-5 x+7\right)+\left(3 x^{2}+3 x-5\right)$
2. $\left(2 x^{2}-5 x+7\right)-\left(x^{2}+3 x-5\right)$
Multiplication and Division
1. $\left(3 x^{2} y^{2} z\right)\left(5 x^{2} y z^{2}\right)$
2. $\left(3 x y^{2}\right)\left(3 x^{2}+2 x y-5 y^{2}\right)$
3. $\frac{30 r^{2} y^{2} z}{6 x^{2} y^{2}}$
4. $\frac{5 x^{-3}}{2 y^{-1}}$ : $5 x^{2}+2 x+2$ $15 x^{6} y^{3} z^{3}$ $3 x^{2}-2 x+2$ $x^{2}-8 x+12$ $9 x^{3} y^{2}+6 x^{2} y^{3}-15 x y^{4}$ $5 x^{2}-2 x+2$ $6 x^{2} y^{2}+5 x y^{2}-8 x y^{4}$ : $\frac{5 x}{z^{4}}$ $=\frac{5 y^{2}}{2 x^{2}}$ $=\frac{2 y^{2}}{5 x^{2}}$

See Solution

Problem 63187

7. Let $f(x)=2 x^{4}-4 x^{3}-22 x^{2}+32 x+48$ . a. (2 points) Use your graphing calculator to find the integer zeros of $y=f(x)$ . b. (6 points) Use synthetic or polynomial division to find any remaining real zeros (if any exist). c. (4 points) Factor $f$ completely over the real numbers. Here, "completely factor" means that $f$ should be made up of only linear and/or irreducible quadratic factors. An irreducible quadratic is a quadratic function with no real zeros such as $x^{2}+1$ . $f(x)=$

See Solution

Problem 63188

Question Watch Video Show Examples
Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)
Answer Attempt 3 out of 3 $\overline{O Q}$ is a segment bisector. $\overline{O Q}$ is an angle bisector. $Q$ is the vertex of a pair of congruent angles in the diagram. $O$ is the midpoint of a segment in the diagram. $Q$ is the midpoint of a segment in the diagram. None of the above.

See Solution

Problem 63189

Factor out the greatest com polynomial. $8 z-4$

See Solution

Problem 63190

Factor the expression completely. $392 x^{4}-128 x^{2} y^{2}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $392 x^{4}-128 x^{2} y^{2}=$ $\square$ (Simplify your answer.) B. $392 x^{4}-128 x^{2} y^{2}$ is prime.

See Solution

Problem 63191

Solve. $\begin{array}{l} y^{3}-8 y^{2}-9 y=0 \\ y=\square \end{array}$ $\square$ (Use a comma to separate answers as needed.)

See Solution

Problem 63192

How many passes are expected to be executed to sort the maximum value using bubble sort algorithm in an array with $\mathrm{n}>1$ where n is the number of elements? 3 1 5 2 4 0

See Solution

Problem 63193

$5 x^{2}(x-2)-x(4 x+2)-9 x^{2}(-3 x)$

See Solution

Problem 63194

In the equation $\log _{3}(7 x-1)=\log _{3}(5 x+17)$ , what is the value of $x$ a) 7 b) 9 c) 11 d) 13 a b C d

See Solution

Problem 63195

The equation of a circle is $(x-9)^{2}+(y+8)^{2}=4$ . What are the center and radius of the circle?
Choose 1 answer: (A) The center is $(9,-8)$ and the radius is 2 .
B The center is $(-9,-8)$ and the radius is 2 . (C) The center is $(9,8)$ and the radius is 2 . (D) The center is $(9,-8)$ and the radius is 4 .

See Solution

Problem 63196

$\frac{1-2 \sin ^{2} x}{\sin x+\cos x}+2 \sin \frac{x}{2} \cos \frac{x}{2}=\cos x$

See Solution

Problem 63197

Quadratic Formula
Solve for x . $\begin{array}{c} x^{2}-5 x-24=0 \\ x=[?] \end{array}$
Remember the quadratic formula: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

See Solution

Problem 63198

b) $\sin 2 x=2 \sin x \cos x$ c) $\tan x=\frac{\sin x}{\cos x}$ d) all of these - The height of the tip of one blade of a wind turbine above the ground, $h(t)$ , can be modelled by $h(t)=18 \cos \left(\pi t+\frac{\pi}{4}\right)+2$ where $t$ is the time passed in seconds. Whic, time interval describes a period when the bl tip is at least 30 m above the ground? a) $5.24 \leq t \leq 7.33$ (c) $1.37 \leq t \leq 2$ . ) $0.42 \leq t \leq 1.08$ d) $0.08 \leq t \leq 1$ .
Iify $\cos \frac{\pi}{5} \cos \frac{\pi}{6}-\sin \frac{\pi}{5} \sin \frac{\pi}{6}$

See Solution

Problem 63199

3. Can a function be its own inverse? Explain.

See Solution

Problem 63200

e 0.05 in expanded form. $0.05=\square \times 1+\square \times \frac{1}{10}+\square \times \frac{1}{100}$

See Solution

Math

Problem 63101

Problem 63102

Problem 63103

If the demand function is P=100−4qP=100-4 qP=100−4q, ind the level of output at which total revenue is maximum and also find the naximum revenue.

Problem 63104

Problem 63105

Given that sin⁡θ=−13\sin \theta=-\frac{1}{3}sinθ=−31​ and that cos⁡θ<0\cos \theta<0cosθ<0, then determine the exact value of tan⁡θ\tan \thetatanθ Select one: a. −8-\sqrt{8}−8​ b. 18\frac{1}{\sqrt{8}}8​1​ c. 8\sqrt{8}8​ d. −18-\frac{1}{\sqrt{8}}−8​1​

Problem 63106

Evaluate the following expression. log⁡333\log _{3} 3^{3}log3​33 log⁡333=\log _{3} 3^{3}=log3​33= □\square□ (Simplify your answer.)

Problem 63107

Find the limit LLL. L=lim⁡x→−52x2+14x+20x+5L=\lim _{x \rightarrow-5} \frac{2 x^{2}+14 x+20}{x+5}L=x→−5lim​x+52x2+14x+20​

Problem 63108

Problem 63109

Select all the inflection points for the function y=−cos⁡(x)−x22y=-\cos (x)-\frac{x^{2}}{2}y=−cos(x)−2x2​.

Problem 63110

27. The chance that an phone is defective is 3%3 \%3%. If 50 phones are chosen at random. What is the probability that 4 are defective?

Problem 63111

Problem 63112

Let A=[2−1310−1412]′A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 0 & -1 \\ 4 & 1 & 2\end{array}\right]^{\prime}A=⎣⎡​214​−101​3−12​⎦⎤​′, then (adj⁡(A))12=(\operatorname{adj}(A))_{12}=(adj(A))12​= 605 −6-6−6

Problem 63113

Problem 63114

How much will Cole save if he buys 14 gallons of gas at a price of $2.149\$ 2.149$2.149 per gallon instead of purchasing the gas at a different station that charges $2.259\$ 2.259$2.259 ? Round to the nearest cent. $1.54\$ 1.54$1.54 $0.90\$ 0.90$0.90 $2.00\$ 2.00$2.00 $9.00\$ 9.00$9.00

Problem 63115

Find the slope of the graph of the function at the given point. f(x)=x+84x+1,(0,8)f′(0)=□\begin{array}{l} f(x)=\frac{x+8}{\sqrt{4 x+1}},(0,8) \\ f^{\prime}(0)=\square \end{array}f(x)=4x+1​x+8​,(0,8)f′(0)=□​

Problem 63116

Problem 63117

Find the ranges shown for the projectiles in the above image for an initial velocity of 50 m/s50 \mathrm{~m} / \mathrm{s}50 m/s at the given initial angles. a) 75∘75^{\circ}75∘ □\square□ m b) 45∘45^{\circ}45∘ □\square□ c) 15∘15^{\circ}15∘ □\square□ m

Problem 63118

Problem 63119

MATh140 Second Firstsem-2024-2025, (161745)(-4) mentieQuestion 8 of 18 A matrix that is both sympetric and upper triangular must be a diagonal matrix. True Falle

Problem 63120

Problem 63121

Question 16 of 18 Let AAA be 2×22 \times 22×2 matrix with det⁡(A)=−2\operatorname{det}(A)=-2det(A)=−2, then det⁡(4A−1)=\operatorname{det}\left(4 A^{-1}\right)=det(4A−1)= 8 - 2 2 1/81 / 81/8

Problem 63122

Problem 63123

Work out the volume of the cylindrical tin of paint below. Give your answer in terms of π\piπ.

Problem 63124

Problem 63125

Problem 63126

14. [-/2 Points] DETAILS MYNOTESFind the derivative of the function. y=ln⁡(x2+16x2−16)y′=□\begin{array}{l} y=\ln \left(\sqrt{\frac{x^{2}+16}{x^{2}-16}}\right) \\ y^{\prime}=\square \end{array}y=ln(x2−16x2+16​​)y′=□​

Problem 63127

m+n=9m−n=2\begin{array}{l}m+n=9 \\ m-n=2\end{array}m+n=9m−n=2​

Problem 63128

Problem 63129

Problem 63130

Problem 63131

Problem 63132

Problem 63133

Problem 63134

I5: Area Between Curve and x-axis Calculate the area between the curve and the x -axis for: f(x)=x2−2xf(x)=x^{2}-2 xf(x)=x2−2x from x=0x=0x=0 to x=4x=4x=4.

Problem 63135

Problem 63136

1) Determina dominio intersezioni con gli assi e segno della funzione y=1x3−10x2+25xy=\frac{1}{x^{3}-10 x^{2}+25 x}y=x3−10x2+25x1​ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

Problem 63137

Problem 63138

Problem 63139

Problem 63140

Problem 63141

Problem 63142

7(3). Используя метод Лагранжа, найдите условные локальные эхстремумы фунвия z=x2yz=x^{2} yz=x2y при условин x+y−2=0x+y-2=0x+y−2=0.

Problem 63143

4) Jack is a freshman attending a 4 -year college. He has been approved for an $8,900\$ 8,900$8,900 subsidized federal loan at 4.75%4.75 \%4.75% for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

Problem 63144

Find lim⁡x→4x2−x−12x−4\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}limx→4​x−4x2−x−12​

Problem 63145

1. Prove that 2+332+3 \sqrt{3}2+33​ is an irrational number. It is given that 3\sqrt{ } 3​3 is an irrational number.

Problem 63146

Problem 63147

侪 2\sqrt{2}2​ Write the equation in standard form for the hyperbola −2x2+y2+12y−32=0-2 x^{2}+y^{2}+12 y-32=0−2x2+y2+12y−32=0 □\square□ 믐 () 2 Submit

Problem 63148

ame the Field Axiom that was use x+(y+z)=(x+y)+zx+(y+z)=(x+y)+zx+(y+z)=(x+y)+z

Problem 63149

Problem 63150

−π2≤θ≤π2-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}−2π​≤θ≤2π​. Find the value of θ\thetaθ in radians. sin⁡(θ)=12\sin (\theta)=\frac{1}{2}sin(θ)=21​Write your answer in simplified, rationalized form. Do not round. θ=\theta=θ= □\square□

Problem 63151

Problem 63152

A vector with magnitude 4 points in a direction 295 degrees counterclockwise from the positive xxx axis. Write the vector in component form. Vector === □\square□ Give each value accurate to at least 1 decimal place Add WorkSubmit Question

Problem 63153

Problem 63154

If the demand function is $P=100-4 q$ , ind the level of output at which total revenue is maximum and also find the naximum revenue.

Given that $\sin \theta=-\frac{1}{3}$ and that $\cos \theta<0$ , then determine the exact value of $\tan \theta$ Select one: a. $-\sqrt{8}$ b. $\frac{1}{\sqrt{8}}$ c. $\sqrt{8}$ d. $-\frac{1}{\sqrt{8}}$

Evaluate the following expression. $\log _{3} 3^{3}$ $\log _{3} 3^{3}=$ $\square$ (Simplify your answer.)

Find the limit $L$ . $L=\lim _{x \rightarrow-5} \frac{2 x^{2}+14 x+20}{x+5}$

Select all the inflection points for the function $y=-\cos (x)-\frac{x^{2}}{2}$ .

27. The chance that an phone is defective is $3 \%$ . If 50 phones are chosen at random. What is the probability that 4 are defective?

Let $A=\left[\begin{array}{ccc}2 & -1 & 3 \\ 1 & 0 & -1 \\ 4 & 1 & 2\end{array}\right]^{\prime}$ , then $(\operatorname{adj}(A))_{12}=$
6
05 $-6$

How much will Cole save if he buys 14 gallons of gas at a price of $\$ 2.149$ per gallon instead of purchasing the gas at a different station that charges $\$ 2.259$ ? Round to the nearest cent. $\$ 1.54$ $\$ 0.90$ $\$ 2.00$ $\$ 9.00$

Find the slope of the graph of the function at the given point. $\begin{array}{l} f(x)=\frac{x+8}{\sqrt{4 x+1}},(0,8) \\ f^{\prime}(0)=\square \end{array}$

Find the ranges shown for the projectiles in the above image for an initial velocity of $50 \mathrm{~m} / \mathrm{s}$ at the given initial angles. a) $75^{\circ}$ $\square$ m b) $45^{\circ}$ $\square$ c) $15^{\circ}$ $\square$ m

MATh140 Second Firstsem-2024-2025, (161745)(-4) mentie
Question 8 of 18 A matrix that is both sympetric and upper triangular must be a diagonal matrix. True Falle

Question 16 of 18 Let $A$ be $2 \times 2$ matrix with $\operatorname{det}(A)=-2$ , then $\operatorname{det}\left(4 A^{-1}\right)=$ 8 - 2 2 $1 / 8$

Work out the volume of the cylindrical tin of paint below. Give your answer in terms of $\pi$ .

14. [-/2 Points] DETAILS MYNOTES
Find the derivative of the function. $\begin{array}{l} y=\ln \left(\sqrt{\frac{x^{2}+16}{x^{2}-16}}\right) \\ y^{\prime}=\square \end{array}$

$\begin{array}{l}m+n=9 \\ m-n=2\end{array}$

I5: Area Between Curve and x-axis Calculate the area between the curve and the x -axis for: $f(x)=x^{2}-2 x$ from $x=0$ to $x=4$ .

1) Determina dominio intersezioni con gli assi e segno della funzione $y=\frac{1}{x^{3}-10 x^{2}+25 x}$ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

7(3). Используя метод Лагранжа, найдите условные локальные эхстремумы фунвия $z=x^{2} y$ при условин $x+y-2=0$ .

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

Find $\lim _{x \rightarrow 4} \frac{x^{2}-x-12}{x-4}$

1. Prove that $2+3 \sqrt{3}$ is an irrational number. It is given that $\sqrt{ } 3$ is an irrational number.

侪 $\sqrt{2}$ Write the equation in standard form for the hyperbola $-2 x^{2}+y^{2}+12 y-32=0$ $\square$ 믐 () 2 Submit

ame the Field Axiom that was use $x+(y+z)=(x+y)+z$

$-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}$ . Find the value of $\theta$ in radians. $\sin (\theta)=\frac{1}{2}$
Write your answer in simplified, rationalized form. Do not round. $\theta=$ $\square$

A vector with magnitude 4 points in a direction 295 degrees counterclockwise from the positive $x$ axis. Write the vector in component form. Vector $=$ $\square$ Give each value accurate to at least 1 decimal place Add Work
Submit Question

$(-2 a)^{4}$

Determine the real roots of the cubic function $f(x)=x^{3}+3 x^{2}-13 x-15$ . Correctly plot the THREE roots on the coordinate plane.

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation $2 x+5 y<24$ ? a) $A(7,2)$ b) $\mathrm{B}(2,7)$ (c)) $\mathrm{C}(-3,5)$ d) $D(5,3)$

9. What is $(2 i-5)(4+7 i)$ in simplest form? $14 i^{2}-27 i-20$ $57 i+20$ $-27 i-34$ $-27 i-6$ Clear All

15. What are the solutions for the quadratic function $y=3 x^{2}-8 x+7$ ? $x=\frac{4 \pm i \sqrt{5}}{3}$ $x=\frac{-4 \pm i \sqrt{5}}{3}$ $x=-6 ; x=14$ $x=\frac{8 \pm \sqrt{20}}{6}$

Factorise $7(5 x-y)^{2}-(y-5 x)$

6. Simplify $(9 m+n)^{2}-(9 m-n)^{2}$ .

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. $c+5$ $c-5$ $\frac{c}{5}$ $5 c$ Suktronit

$\int \frac{e^{1 / t}}{t^{2}} d t$

Simplify: $\log _{2} 16 d$ $4 \log _{2} d$ $\log _{2} 4 d$ $\log _{2}(4+d)$ $4+\log _{2} d$