Math Statement

Problem 23701

Calculate $15 + (-10)$ .

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Problem 23702

Calculate $-7 + (-7)$ .

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Problem 23703

Calculate the result of $-28 + 16$ .

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Problem 23704

Calculate $-11 + -12$ .

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Problem 23705

Factor completely: $r^{2}-r-20$ .

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Problem 23706

Find the value of $i^{99}$ .

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Problem 23707

Solve the equation by completing the square.
$x^2 + 16x + 51 = 0$

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Problem 23708

Return Multiple Choice 20 points used to find the possible values for $p$ ? $\begin{array}{l} p-7>50 \\ p-7<50 \\ p+7 \geq 50 \\ p+7 \leq 50 \end{array}$ Multiple Chaice 20 points

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Problem 23709

1. Solve the system by graphing. $\begin{array}{l} y=\frac{3}{4} x+3 \begin{array}{l} \text { slope } \cdot \frac{3}{4} \\ y \text {-ill }: 3^{3} \end{array} \\ y=3 x-6 \begin{array}{l} \text { slope: } \frac{3}{1} \\ \text { y-int: - } 6 \end{array} \end{array}$
Answer: $\qquad$

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Problem 23710

$y' =$
$y = \ln{\frac{x^2 + 2}{x}}$
Find the derivative of the function.

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Problem 23711

$93.8 + 4.3 =$

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Problem 23712

Suppose $f(x)=16(6)^{x}$ and $g(x)=54(12.3)^{x}$ . Solve for $a$ and $b$ in the following equations. Remember that the answerbox is a calculator, so you can type calculations directly into the answerbox.
1. If $f(a)=116$ , then $a=\log _{6}(7.25)$
2. If $f(b)=g(b)$ , then $b=$ $\square$

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Problem 23713

b) $\sin{4x} = \frac{1}{2}$

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Problem 23714

(c) $\lim_{x \to 2} \frac{3x^2 - x - 10}{2x^2 + 3x - 14}$

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Problem 23715

Solve for $d$ .
$d^2 - 121 = 0$
Write your answers as integers or as proper or improper fractions in simplest form.
$d =$ or $d =$
Submit

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Problem 23716

Solve for $q$ .
$q^2 + 12 = 76$
Write your answers as integers or as proper or improper fractions in simplest form.
$q =$ or $q =$
Submit

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Problem 23717

In Exercises 1-4, solve the equation using square roots. Check your solution(s).
1. $w^{2}-22 w+121=81$
2. $k^{2}-16 k+64=-8$
3. $t^{2}-30 t+225=-24$
4. $9 p^{2}+6 p+1=12$

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Problem 23718

Evaluate $\cos (a-b)$ given that $\cos a=\frac{4}{5}$ with $0<a<\frac{\pi}{2}$ and $\sin b=-\frac{15}{17}$ with $\frac{3 \pi}{2}<b<2 \pi$ . $\cos (a-b)=$ $\square$

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Problem 23719

$S + \frac{17}{6} = \frac{57}{7}$

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Problem 23720

Find the $x$ -and $y$ -intercepts of the graph of the linear equation $2 x+3 y=12$
The $x$ -intercept is $\square$ 7.
The $y$ -intercept is $\square$

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Problem 23721

The Differential of a Function.
Find the differential of the given function. Then, evaluate the differential at the indicated values.
If $y=x \cos (x)$ then the differential of $y$ is $d y=\square$
Note: Type $d x$ for the differential of $x$ Evaluate the differential of $y$ at $x_{0}=4.71239, d x=0.3$ $\left.d y\right|_{\substack{x=x_{0} \\ d x=0.3}}=\square$
Note: Enter your answer accurate to 4 decimal places if it is not an Integrer.

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Problem 23722

Let $\angle D$ be an acute angle. Use a calculator to approximate the measure of $\angle D$ to the nearest tenth of a degree. $\begin{array}{l} \sin D=0.31 \\ m \angle D= \end{array}$ $\square$

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Problem 23723

Math 110 Course Resources - Applications of Definite Integrals Course Packet on the area between two curves
Determine the area of the region bounded by $y=\frac{3}{x}$ and $y=\frac{x}{3}$ on the interval $[1,10]$ .
Area = $\square$

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Problem 23724

MY NOTES TANAPCALCBR10 4.4.010.MI. ASK YOUR TEACHER PRACTICE ANOTHER
Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) $g(x)=-x^{2}+4 x+7$ maximum $\square$ minimum $\square$ Need Help? Read It Master It

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Problem 23725

Simplify. $\left(-6 w v^{2}\right)^{2}$
Write your answer without parentheses.

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Problem 23726

Add. $\frac{7}{4x} + \frac{x-5}{6x^2}$
Select the correct choice below and fill in any answer boxes within your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
A. $\frac{7}{4x} + \frac{x-5}{6x^2} =$ $\quad$ , $x \ne$ $\quad$ B. $\frac{7}{4x} + \frac{x-5}{6x^2} =$ $\quad$ , no numbers must be excluded.

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Problem 23727

1. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.
Find $\frac{d y}{d x}$ by implicit differentiation. $\frac{d y}{d x}=\square(4 x+3 y)^{1 / 3}=x^{2}$ Need Help? Read It Watch It

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Problem 23728

Factor.
$65t^2 + 60t - 20t^3$
Suggested tutorial: Learn It: Factor polynomials completely. Need Help? Watch It Additional Materials

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Problem 23729

Solve for the roots in simplest form by completing the square: $-4 x^{2}+32 x+0=0$
Answer Attempt 1 out of 3

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Problem 23730

2) Simplify $\sin \left(\frac{\pi}{2}-x\right)+\sin (\pi+x)+\sin \left(\frac{3 \pi}{2}+x\right)+\sin (2 \pi-x)$ .

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Problem 23731

$3.12 .586 \div 0.35=35.96$

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Problem 23732

5th Grade: Unit 4 Study Guide - Test on Thursday, DeC. 17, 24
3. Which expression is true? How do you know? A. $\frac{13}{8}<\frac{5}{3}<\frac{7}{4}$ B. $\frac{13}{8}>\frac{5}{3}>\frac{7}{4}$

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Problem 23733

For $f(x)=8 x-7$ and $g(x)=\frac{x+7}{8}$ , find the following functions. a. $(f \circ g)(x) ; b .(g \circ f)(x) ;$ c. $(f \circ g)(6) ; d .(g \circ f)(6)$ a. $(f \circ g)(x)=$ $\square$ (Simplify your answer.) b. $(g \circ f)(x)=$ $\square$ (Simplify your answer.) c. $(f \circ g)(6)=$ $\square$ d. $(g \circ f)(6)=$ $\square$

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Problem 23734

Simplify. $\sqrt[3]{(-3)^{3}}$

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Problem 23735

$b^5 \cdot b^3$ $\left( \frac{r^2}{s^4} \right)^3$ $\frac{(10mn)^2}{(3rt)^2}$ $(m^3)^5$ $(3xy)^3$ $(4abc)^2$ $[(x^2)^3 ]^2$ $\left( \frac{az^2}{igj} \right)^2$ $a^2 ab^4 bcc^6 da^3$ $4x^2 y(x^2 y)^3$ $\left( \frac{x}{y} \right)^3 \left( \frac{2x}{y} \right)^4 \left( \frac{x}{y^3} \right)^2$ $(12x^2 y^3)^4$ ACTIVITY: Apply the laws of exponents and simplify. Assume all denominators are not equal to zero.

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Problem 23736

$(y+8)^{2}$

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Problem 23737

Find the exact value, if any, of the following composite function. Do not use a calculator. $\tan ^{-1}\left(\tan \frac{4 \pi}{5}\right)$
Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $\tan ^{-1}\left(\tan \frac{4 \pi}{5}\right)=$ $\square$ (Simplify your answa $/$ type an exact answer, using $\pi$ as needed. Use integers or fractions B. It is not defined.

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Problem 23738

For the function $f(x)=-8 x^{2}-6 x-1$ , find the equation of the tangent line at $x=-12$ .

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Problem 23739

Identifying equivalent algebraic expressions
For each expression, select all equivalent expressions from the list.
(a) $6x+42$ $6 \cdot x + 6 \cdot 7$ $6(x+7)$ $48x$ $6(7x+1)$
(b) $12+10y-7-y$ $5y+9$ $5y+9y$ $9+5y$ $9y+5$

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Problem 23740

Let $g(z) = 3$ Determine the most general antiderivative of $g$ . $\int 3 dz =$

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Problem 23741

$(8x^2 + 34x + 25) \div (2x+7)$
Your answer should give the quotient and the remainder.

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Problem 23742

If $\theta = \frac{11\pi}{6}$ , then find exact values for the following:
$\sec(\theta)$ equals
$\csc(\theta)$ equals
$\tan(\theta)$ equals
$\cot(\theta)$ equals
Question Help: Video Submit Question

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Problem 23743

Write the quadratic equation in standard form: $-3 x+2=4 x^{2}$
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 23744

Watch V
Write the quadratic equation in standard form: $-2 x^{2}+6 x+16=-4$
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 23745

Write the quadratic equation in standard form: $8 x+16+3 x^{2}=x^{2}$
Answer Attempt 1 out of 3
Answer: $\square$ Submit Answer

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Problem 23746

Consider the following functions. $f(x) = \frac{1}{x}$ and $g(x) = x - 1$
Step 2 of 2: Find the formula for $(g \circ f)(x)$ and simplify your answer. Then find the domain for $(g \circ f)(x)$ . Round your answer to two decimal places, if necessary.
Answer 2 Points
$(g \circ f)(x) =$
Domain $=$

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Problem 23747

Write the quadratic equation in standard form: $-4 x+4=1-x^{2}$
Answer Attempt 1 out of 3

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Problem 23748

Given $f(x)=-x^{2}+7 x$ , find $f(-1)$
Answer Attempt 1 out of 3

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Problem 23749

Question Given $f(x)=-4 x^{2}+10 x+13$ , find $f(7)$
Answer Attempt 1 out of 3 $\square$ Submit Ans

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Problem 23750

14. $\sum_{n=1}^{\infty} \frac{(-1)^n}{\sqrt{n+1}}$

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Problem 23751

$\lim_{x \to 1} \frac{(100\pi^q - 981)(y - \sqrt{2})(e^p - e^\pi)(x^{\pi+1} - x^\pi)}{(z^z - \sqrt{2}^{\sqrt{2}})(m^m \cdot e^{1/e} - 1)(d^d \cdot \pi^{1/\pi} - 1)(x^{1+e} - x^e)}$
Task: Find the values of $p$ , $q$ , $y$ , $m$ , $d$ , and $z$ such that the above limit expression is indeterminate as $x \to 1$ .

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Problem 23752

Graph the equation $y=-x^{2}-10 x-24$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the equation of the axis of symmetry.
Click to plot points. Click points to delete them.

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Problem 23753

Question 36 0/1 pt 3 99 Details
You are performing a left-tailed test with test statistic $z=-1.06$ , find the p -value to 4 decimal places $\square$ Question Help: Video 1 Video 2 Message instructor

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Problem 23754

$\sec\theta + \cos\theta = \tan\theta\sin\theta - 1$

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Problem 23755

Find the most general antiderivative by evaluating the following indefinite integral: $\int \frac{5}{\sqrt{x}} d x=\square$
NOTE: The general antiderivative should contain an arbitrary constant.
Part 2.
Evaluate the given definite integral. $\int_{9}^{64} \frac{5}{\sqrt{x}} d x=\square$

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Problem 23756

Use synthetic division to determine if the given value for $k$ is a zero of this polynomial. If not, determine $\boldsymbol{p}(\boldsymbol{k})$ . $p(x)=2 x^{3}-4 x^{2}-4 x-13 ; k=4$
Answer
Selecting an option will display any text boxes needed to complete your answer. Is $k$ a zero of this polynomial? Yes No

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Problem 23757

b. $y=\frac{1 \frac{1}{4} x+\frac{7}{4}}{4}$
12. Find the derivative of the following function. $\begin{array}{r} f(x)=\frac{6 x}{x+2} \\ f^{\prime}(x)= \end{array}$

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Problem 23758

Graph the equation $y=x^{2}-4 x+3$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.

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Problem 23759

omplete: 79\%
Question Watch Video
Expand the expression to a polynomial in standard form: $\left(3 x^{2}+x-2\right)\left(x^{2}-2 x+8\right)$
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 23760

Question 19
Solve for the exact solutions in the interval $[0, 2\pi)$ . List your answers separated by a comma, if it has no real solutions, enter DNE.
$\sin(\frac{x}{2}) = \sqrt{2} - \sin(\frac{x}{2})$
Submit Question

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Problem 23761

Question Watch Video
Expand the expression to a polynomial in standard form: $(x+1)(2 x-5)(x-3)$
Answer Attempt 1 out of 3

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Problem 23762

Solve each equation with the quadratic formula
2) $6x^2 - 9x - 12 = 0$

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Problem 23763

Evaluate the expression $\cos^{-1}\left(\sin\left(\frac{\pi}{4}\right)\right)$ .
Give your answer as an exact value

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Problem 23764

mplete: $93 \%$
Question Complete the square to re-write the quadratic function in vertex form: $y=x^{2}-4 x-7$ Context Answer Attempt 1 out of 3 Gravity) $y=$ $\square$ Submit Answer

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Problem 23765

Evaluate the expression $\cos^{-1}\left(\sin\left(\frac{4\pi}{3}\right)\right)$ .

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Problem 23766

1 2 \longdiv { 1 6 8 }

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Problem 23767

Find the area, A, between the curves $y = \ln{x}$ and $y = \ln{2x}$ from $x = 1$ to $x = 4$ .
The area is A = $\square$ (Type an exact answer.)

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Problem 23768

3) $12v^2 - 6v + 10 = 0$
Solve each equation with the quadratic formula

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Problem 23769

Put the quadratic into vertex form and state the coordinates of the vertex. $y=x^{2}+14 x$
Answer Attempt 1 out of 3
Vertex Form: $y=$ $\square$ Vertex: $\square$ $\square$ Submit Answer

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Problem 23770

Let $u(x) = \sin(x)$ and $v(x) = x^{12}$ and $f(x) = \frac{u(x)}{v(x)}$ . Find $u'(x) =$ $v'(x) =$ $f' =$
!!! The challenge is that the Quotient Differentiation Rule on Earth, $f' = \frac{u'v - uv'}{v^2}$ , is "twisted" on Z Planet as the following: $f' = \frac{u'v' - uv}{v^2}$ (all the other rules might be also alternated but they are not given, so don't use them).
Here Is The Story that happened to you earlier... but now you're on board the spaceship #1573343500, and the captain is asking to solve tricky "ZP" (Z Planet) problem (you know what it means when captain is "asking"... that's an order): Next Question

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Problem 23771

Simplify. $\begin{array}{r} -(-34) \\ -(-34)= \end{array}$

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Problem 23772

$y = -6^{4}$
2. $y \ge 2x^2 + 9x + 10$ $4 \cdot 9$ $24 - 9 - 9 + 10$

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Problem 23773

$\sin \theta = \frac{\sqrt{3}}{3}$ , $\frac{\pi}{2} < \theta < \pi$ (a) $\sin(2\theta) =$ (Type an exact answer, using radicals as needed.) (b) $\cos(2\theta)$ (c) $\sin \frac{\theta}{2}$ (d) $\cos \frac{\theta}{2}$ Use the information given about the angle $\theta$ to find the exact values of the following. Question 28, 7.6.13 Part 1 of 4 LM est. 60 min

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Problem 23774

3) $5n^2 - 12 = 0$

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Problem 23775

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. $f(x)=4-5 x+2 x^{2}-5 x^{3}$ Falls to the left, falls to the right Rises to the left, rises to the right Rises to the left, falls to the right Falls to the left, rises to the right Falls to the left

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Problem 23776

Solve $u^2 = 49$ , where $u$ is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". $u = \square$

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Problem 23777

$-5(4)^{-2}-12(4)^{-3}$

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Problem 23778

14. The factorised form of $2 x^{2}+12 x+3 x+18$ is:
A $(x+6)(2 x+3)$ B $(x+6)(x+3)$ C $(x+6)(2 x-3)$ D $(x+6)(x-3)$

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Problem 23779

The reduction of iron(III) oxide to iron during steel-making can be summarized by this sequence of reactions: $\begin{array}{ll} 2 \mathrm{C}(s)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{CO}(g) & K_{1} \\ \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+3 \mathrm{CO}(g) \rightleftharpoons 2 \mathrm{Fe}(l)+3 \mathrm{CO}_{2}(g) & K_{2} \end{array}$
The net reaction is: $2 \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+6 \mathrm{C}(s)+3 \mathrm{O}_{2}(g) \rightleftharpoons 4 \mathrm{Fe}(l)+6 \mathrm{CO}_{2}(g) \quad K$
Write an equation that gives the overall equilibrium constant $K$ in terms of the equilibrium constants $K_{1}$ and $K_{2}$ . If you need to include any physical constants, be sure you use their standard symbols, which you'll find in the ALEKS Calculator. $K=$ $\square$

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Problem 23780

$\lim _{x \rightarrow \infty} \frac{\tan ^{-1}(x)}{(1 / x)-4}=$

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Problem 23781

1) Evaluate $\frac{2}{5}k - 3.5$ for $k = 15$ .

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Problem 23782

Question 23 Solve: $2x + 4 < -6$ State your solution as a simple inequality, e.g., $x < A$ or $x > A$ Question Help: Video Submit Question
Question 24 Solve: $-8 - 3x \le -5$ Give your answer as an inequality and reduce any fractions. Question Help: Video Submit Question

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Problem 23783

$3. \ 5x^2 - 11 = 234$

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Problem 23784

$\sin(2x) = 2\sin(x) \cos(x)$ $\frac{1}{1-x} = \sum_{k=0}^{\infty} x^k$ $e^x = \sum_{k=0}^{\infty} \frac{x^k}{k!}$ $\sin(x) = \sum_{k=0}^{\infty} \frac{(-1)^k}{(2k+1)!} x^{2k+1}$ $\cos(x) = \sum_{k=0}^{\infty} \frac{(-1)^k}{(2k)!} x^{2k}$
1. (2 1/2 points) The radius of convergence of the series $\sum_{k=1}^{\infty} \frac{2^k x^k}{k5^{2k}}$ is: A. 2.5 B. 12.5 C. $\frac{5}{2}$ D. $\frac{25}{2}$
2. (2 1/2 points) The first 3 terms of the Maclaurin series of the function $f(x) = \sin(x) \cos(x)$ are: A. $x - \frac{2x^3}{3} + \frac{2x^5}{15}$ B. $1 - \frac{x^2}{3} + \frac{2x^4}{15}$ C. $x - \frac{2x^3}{3} + \frac{2x^5}{15}$ D. $1 - x^2 - \frac{x^3}{3}$
3. (2 1/2 points) The first 3 terms of the Maclaurin series of the function $f(x) = \sqrt{x+1}$ are: A. $1 - \frac{x}{2} + \frac{x^2}{8}$ B. $1 - \frac{x}{2} - \frac{x^2}{8}$ C. $1 + \frac{x}{2} - \frac{x^2}{8}$ D. $1 - \frac{x}{2} - \frac{x^2}{4}$

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Problem 23785

6 Se $x \in \left[ -\frac{\pi}{2}; 0 \right]$ e $\cos\left(x - \frac{\pi}{4}\right) = \cos\left(2x + \frac{\pi}{3}\right)$ allora $x$ è uguale a: a $-\frac{\pi}{6}$ b $-\frac{\pi}{12}$ c $-\frac{\pi}{18}$ d $-\frac{\pi}{36}$

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Problem 23786

Factor the GCF out of the polynomial belo $28 j^{10}+20 j^{9}+4 j^{8}$
Question Help: Video 1 Video 2
Submit Question

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Problem 23787

1. (2 $1 / 2$ points) The radius of convergence of the series $\sum_{k=1}^{\infty} \frac{2^{k} x^{k}}{k 5^{2 k}}$ is: A. 2.5 B. 12.5 C. $\frac{2}{5}$ D. $\frac{2}{25}$

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Problem 23788

C. $\frac{2}{5}$ D. $\frac{2}{25}$
2. (2 $1 / 2$ points) The first 3 terms of the Maclaurin series of the function $f(x)=\sin (x) \cos (x)$ are: A. $x-\frac{2 x^{3}}{3}+\frac{2 x^{4}}{15}$ B. $1-\frac{2 x^{2}}{3}+\frac{2 x^{4}}{15}$ C. $x-\frac{2 x^{3}}{3}+\frac{2 x^{5}}{15}$ D. $1-x-\frac{x^{2}}{2}-\frac{x^{3}}{3}$

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Problem 23789

1. (2 $1 / 2$ points) The radius of convergence of the series $\sum_{k=1}^{\infty} \frac{2^{k} x^{k}}{k 5^{2 k}}$ is: A. 2.5 B. 12.5 C. $\frac{2}{5}$ D. $\frac{2}{25}$

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Problem 23790

Solve the equation. $\sqrt{45-6 x}+3=x$
Select the correct choice below and fill in any answer boxes within your choice. A. The solution set is $\square$ \}. (Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

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Problem 23791

2. ( $21 / 2$ points) The first 3 terms of the Maclaurin series of the function $f(x)=\sin (x) \cos (x)$ are: A. $x-\frac{2 x^{3}}{3}+\frac{2 x^{4}}{15}$ B. $1-\frac{2 x^{2}}{3}+\frac{2 x^{4}}{15}$ C. $x-\frac{2 x^{3}}{3}+\frac{2 x^{5}}{15}$ D. $1-x-\frac{x^{2}}{2}-\frac{x^{3}}{3}$

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Problem 23792

Choose the correct answer from those given :
(1) If $f(2) = 4$ , $g(4) = 3$ , then $(g \circ f)(2) =$ ......... (a) 12 (b) 4 (c) 3 (d) 1 Interactive test 1

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Problem 23793

Points: 0 of 1 Save
Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative extrema occur. Do not sketch the graph. $y=-\frac{x^{3}}{3}-2 x^{2}+12 x-3$ (a) For which interval(s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The function is increasing on $(-6,2)$ . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing. (b) For which interval(s) is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The function is decreasing on $\square$ . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never decreasing.

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Problem 23794

Evaluate problems 24 - 37 by performing the indicated operation and simplifying. Your answers should be expressed without negative exponents.
24. $3^{-2}$
32. $\left(-2 x^{0} y^{3}\right)\left(4 x^{2} y^{4}\right)+\left(2 y^{5}\right)(3 x y)^{2}$
25. $\left(\frac{3}{2}\right)^{-3}$
33. $\left(-2 x^{-2} y^{3}\right)^{-4}$
26. $x \cdot x^{-8}$
34. $\left(2^{3} a\right)^{5}$
27. $x^{12} \div x^{3}$
28. $\frac{p^{2}}{p^{-7}}$
35. $\left(\frac{x^{5}}{y^{5} z^{8}}\right)^{3}$ .
29. $\frac{x^{2}}{x^{-3}}$
36. $\frac{(2 y)^{-3}}{y^{-1} \cdot y^{3}}$
30. $\left(-4 x^{5}\right)\left(-5 x^{3}\right)$
37. $\frac{(3 a)^{-3}}{\left(a^{-5} b^{3}\right)^{-2}}$

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Problem 23795

1. Знайти границю послідовності, заданої рекурентно: $x_1 = 10$ , $x_{n+1} = \sqrt{4x_n + 1}$ , $n \in N$ .

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Problem 23796

2. Визначить тип точок розриву функції $f(x) = \frac{1}{x} \text{arctg} \frac{1}{1-x}$ , $x \in R$ на $D_f$ .

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Problem 23797

3. Дослідить функцію $f(x) = \frac{x^2 + 1}{\sqrt{x}}$ на рівномірну неперервність на множині $X = (10, +\infty)$

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Problem 23798

4. Знайдіть границю: $\lim_{x\to 0} \frac{\text{ch}(xe^x) - \text{ch}(xe^{-x})}{x^3}.$

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Problem 23799

$\begin{array}{r}55 \\ \times \quad 99 \\ \hline\end{array}$

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Problem 23800

$\begin{array}{r} 46 \\ \times \quad 89 \\ \hline \end{array}$
Submit

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1 ...235 236 237 238 239 240 241 ...270

Math Statement

Problem 23701

Calculate 15+(−10)15 + (-10)15+(−10).

Problem 23702

Calculate −7+(−7)-7 + (-7)−7+(−7).

Problem 23703

Calculate the result of −28+16-28 + 16−28+16.

Problem 23704

Calculate −11+−12-11 + -12−11+−12.

Problem 23705

Factor completely: r2−r−20r^{2}-r-20r2−r−20.

Problem 23706

Find the value of i99i^{99}i99.

Problem 23707

Solve the equation by completing the square.x2+16x+51=0x^2 + 16x + 51 = 0x2+16x+51=0

Problem 23708

Return Multiple Choice 20 points used to find the possible values for ppp ? p−7>50p−7<50p+7≥50p+7≤50\begin{array}{l} p-7>50 \\ p-7<50 \\ p+7 \geq 50 \\ p+7 \leq 50 \end{array}p−7>50p−7<50p+7≥50p+7≤50​ Multiple Chaice 20 points

Problem 23709

Problem 23710

y′=y' = y′=y=ln⁡x2+2xy = \ln{\frac{x^2 + 2}{x}}y=lnxx2+2​Find the derivative of the function.

Problem 23711

93.8+4.3=93.8 + 4.3 =93.8+4.3=

Problem 23712

Problem 23713

b) sin⁡4x=12\sin{4x} = \frac{1}{2}sin4x=21​

Problem 23714

(c) lim⁡x→23x2−x−102x2+3x−14\lim_{x \to 2} \frac{3x^2 - x - 10}{2x^2 + 3x - 14}limx→2​2x2+3x−143x2−x−10​

Problem 23715

Solve for ddd.d2−121=0d^2 - 121 = 0d2−121=0Write your answers as integers or as proper or improper fractions in simplest form.d=d = d= or d=d = d=Submit

Problem 23716

Solve for qqq.q2+12=76q^2 + 12 = 76q2+12=76Write your answers as integers or as proper or improper fractions in simplest form.q=q = q= or q=q = q=Submit

Problem 23717

In Exercises 1-4, solve the equation using square roots. Check your solution(s).1. w2−22w+121=81w^{2}-22 w+121=81w2−22w+121=812. k2−16k+64=−8k^{2}-16 k+64=-8k2−16k+64=−83. t2−30t+225=−24t^{2}-30 t+225=-24t2−30t+225=−244. 9p2+6p+1=129 p^{2}+6 p+1=129p2+6p+1=12

Problem 23718

Evaluate cos⁡(a−b)\cos (a-b)cos(a−b) given that cos⁡a=45\cos a=\frac{4}{5}cosa=54​ with 0<a<π20<a<\frac{\pi}{2}0<a<2π​ and sin⁡b=−1517\sin b=-\frac{15}{17}sinb=−1715​ with 3π2<b<2π\frac{3 \pi}{2}<b<2 \pi23π​<b<2π. cos⁡(a−b)=\cos (a-b)=cos(a−b)= □\square□

Problem 23719

S+176=577 S + \frac{17}{6} = \frac{57}{7} S+617​=757​

Problem 23720

Find the xxx-and yyy-intercepts of the graph of the linear equation 2x+3y=122 x+3 y=122x+3y=12The xxx-intercept is □\square□ 7.The yyy-intercept is □\square□

Problem 23721

Problem 23722

Let ∠D\angle D∠D be an acute angle. Use a calculator to approximate the measure of ∠D\angle D∠D to the nearest tenth of a degree. sin⁡D=0.31m∠D=\begin{array}{l} \sin D=0.31 \\ m \angle D= \end{array}sinD=0.31m∠D=​ □\square□

Problem 23723

Math 110 Course Resources - Applications of Definite Integrals Course Packet on the area between two curvesDetermine the area of the region bounded by y=3xy=\frac{3}{x}y=x3​ and y=x3y=\frac{x}{3}y=3x​ on the interval [1,10][1,10][1,10].Area = □\square□

Problem 23724

Problem 23725

Simplify. (−6wv2)2\left(-6 w v^{2}\right)^{2}(−6wv2)2Write your answer without parentheses.

Problem 23726

Problem 23727

1. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.Find dydx\frac{d y}{d x}dxdy​ by implicit differentiation. dydx=□(4x+3y)1/3=x2\frac{d y}{d x}=\square(4 x+3 y)^{1 / 3}=x^{2}dxdy​=□(4x+3y)1/3=x2 Need Help? Read It Watch It

Problem 23728

Factor.65t2+60t−20t365t^2 + 60t - 20t^365t2+60t−20t3Suggested tutorial: Learn It: Factor polynomials completely. Need Help? Watch It Additional Materials

Problem 23729

Solve for the roots in simplest form by completing the square: −4x2+32x+0=0-4 x^{2}+32 x+0=0−4x2+32x+0=0Answer Attempt 1 out of 3

Problem 23730

2) Simplify sin⁡(π2−x)+sin⁡(π+x)+sin⁡(3π2+x)+sin⁡(2π−x)\sin \left(\frac{\pi}{2}-x\right)+\sin (\pi+x)+\sin \left(\frac{3 \pi}{2}+x\right)+\sin (2 \pi-x)sin(2π​−x)+sin(π+x)+sin(23π​+x)+sin(2π−x).

Problem 23731

3.12.586÷0.35=35.963.12 .586 \div 0.35=35.963.12.586÷0.35=35.96

Problem 23732

5th Grade: Unit 4 Study Guide - Test on Thursday, DeC. 17, 243. Which expression is true? How do you know? A. 138<53<74\frac{13}{8}<\frac{5}{3}<\frac{7}{4}813​<35​<47​ B. 138>53>74\frac{13}{8}>\frac{5}{3}>\frac{7}{4}813​>35​>47​

Problem 23733

Problem 23734

Simplify. (−3)33\sqrt[3]{(-3)^{3}}3(−3)3​

Problem 23735

Problem 23736

(y+8)2(y+8)^{2}(y+8)2

Problem 23737

Problem 23738

For the function f(x)=−8x2−6x−1f(x)=-8 x^{2}-6 x-1f(x)=−8x2−6x−1, find the equation of the tangent line at x=−12x=-12x=−12.

Problem 23739

Problem 23740

Let g(z)=3g(z) = 3g(z)=3 Determine the most general antiderivative of ggg. ∫3dz=\int 3 dz =∫3dz=

Problem 23741

(8x2+34x+25)÷(2x+7)(8x^2 + 34x + 25) \div (2x+7)(8x2+34x+25)÷(2x+7)Your answer should give the quotient and the remainder.

Problem 23742

If θ=11π6\theta = \frac{11\pi}{6}θ=611π​, then find exact values for the following:sec⁡(θ)\sec(\theta)sec(θ) equalscsc⁡(θ)\csc(\theta)csc(θ) equalstan⁡(θ)\tan(\theta)tan(θ) equalscot⁡(θ)\cot(\theta)cot(θ) equalsQuestion Help: Video Submit Question

Problem 23743

Write the quadratic equation in standard form: −3x+2=4x2-3 x+2=4 x^{2}−3x+2=4x2Answer Attempt 1 out of 3 □\square□ Submit Answer

Problem 23744

Watch VWrite the quadratic equation in standard form: −2x2+6x+16=−4-2 x^{2}+6 x+16=-4−2x2+6x+16=−4Answer Attempt 1 out of 3 □\square□ Submit Answer

Calculate $15 + (-10)$ .

Calculate $-7 + (-7)$ .

Calculate the result of $-28 + 16$ .

Calculate $-11 + -12$ .

Factor completely: $r^{2}-r-20$ .

Find the value of $i^{99}$ .

Solve the equation by completing the square.
$x^2 + 16x + 51 = 0$

Return Multiple Choice 20 points used to find the possible values for $p$ ? $\begin{array}{l} p-7>50 \\ p-7<50 \\ p+7 \geq 50 \\ p+7 \leq 50 \end{array}$ Multiple Chaice 20 points

$y' =$
$y = \ln{\frac{x^2 + 2}{x}}$
Find the derivative of the function.

$93.8 + 4.3 =$

b) $\sin{4x} = \frac{1}{2}$

(c) $\lim_{x \to 2} \frac{3x^2 - x - 10}{2x^2 + 3x - 14}$

Solve for $d$ .
$d^2 - 121 = 0$
Write your answers as integers or as proper or improper fractions in simplest form.
$d =$ or $d =$
Submit

Solve for $q$ .
$q^2 + 12 = 76$
Write your answers as integers or as proper or improper fractions in simplest form.
$q =$ or $q =$
Submit

In Exercises 1-4, solve the equation using square roots. Check your solution(s).
1. $w^{2}-22 w+121=81$
2. $k^{2}-16 k+64=-8$
3. $t^{2}-30 t+225=-24$
4. $9 p^{2}+6 p+1=12$

Evaluate $\cos (a-b)$ given that $\cos a=\frac{4}{5}$ with $0<a<\frac{\pi}{2}$ and $\sin b=-\frac{15}{17}$ with $\frac{3 \pi}{2}<b<2 \pi$ . $\cos (a-b)=$ $\square$

$S + \frac{17}{6} = \frac{57}{7}$

Find the $x$ -and $y$ -intercepts of the graph of the linear equation $2 x+3 y=12$
The $x$ -intercept is $\square$ 7.
The $y$ -intercept is $\square$

Let $\angle D$ be an acute angle. Use a calculator to approximate the measure of $\angle D$ to the nearest tenth of a degree. $\begin{array}{l} \sin D=0.31 \\ m \angle D= \end{array}$ $\square$

Math 110 Course Resources - Applications of Definite Integrals Course Packet on the area between two curves
Determine the area of the region bounded by $y=\frac{3}{x}$ and $y=\frac{x}{3}$ on the interval $[1,10]$ .
Area = $\square$

Simplify. $\left(-6 w v^{2}\right)^{2}$
Write your answer without parentheses.

1. [-/1 Points] DETAILS MY NOTES TANAPCALCBR10 3.
Find $\frac{d y}{d x}$ by implicit differentiation. $\frac{d y}{d x}=\square(4 x+3 y)^{1 / 3}=x^{2}$ Need Help? Read It Watch It

Factor.
$65t^2 + 60t - 20t^3$
Suggested tutorial: Learn It: Factor polynomials completely. Need Help? Watch It Additional Materials

Solve for the roots in simplest form by completing the square: $-4 x^{2}+32 x+0=0$
Answer Attempt 1 out of 3

2) Simplify $\sin \left(\frac{\pi}{2}-x\right)+\sin (\pi+x)+\sin \left(\frac{3 \pi}{2}+x\right)+\sin (2 \pi-x)$ .

$3.12 .586 \div 0.35=35.96$

5th Grade: Unit 4 Study Guide - Test on Thursday, DeC. 17, 24
3. Which expression is true? How do you know? A. $\frac{13}{8}<\frac{5}{3}<\frac{7}{4}$ B. $\frac{13}{8}>\frac{5}{3}>\frac{7}{4}$

Simplify. $\sqrt[3]{(-3)^{3}}$

$(y+8)^{2}$

For the function $f(x)=-8 x^{2}-6 x-1$ , find the equation of the tangent line at $x=-12$ .

Let $g(z) = 3$ Determine the most general antiderivative of $g$ . $\int 3 dz =$

$(8x^2 + 34x + 25) \div (2x+7)$
Your answer should give the quotient and the remainder.

If $\theta = \frac{11\pi}{6}$ , then find exact values for the following:
$\sec(\theta)$ equals
$\csc(\theta)$ equals
$\tan(\theta)$ equals
$\cot(\theta)$ equals
Question Help: Video Submit Question

Write the quadratic equation in standard form: $-3 x+2=4 x^{2}$
Answer Attempt 1 out of 3 $\square$ Submit Answer

Watch V
Write the quadratic equation in standard form: $-2 x^{2}+6 x+16=-4$
Answer Attempt 1 out of 3 $\square$ Submit Answer

Write the quadratic equation in standard form: $8 x+16+3 x^{2}=x^{2}$
Answer Attempt 1 out of 3
Answer: $\square$ Submit Answer

Write the quadratic equation in standard form: $-4 x+4=1-x^{2}$
Answer Attempt 1 out of 3

Given $f(x)=-x^{2}+7 x$ , find $f(-1)$
Answer Attempt 1 out of 3

Question Given $f(x)=-4 x^{2}+10 x+13$ , find $f(7)$
Answer Attempt 1 out of 3 $\square$ Submit Ans

14. $\sum_{n=1}^{\infty} \frac{(-1)^n}{\sqrt{n+1}}$

Graph the equation $y=-x^{2}-10 x-24$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the equation of the axis of symmetry.
Click to plot points. Click points to delete them.

Question 36 0/1 pt 3 99 Details
You are performing a left-tailed test with test statistic $z=-1.06$ , find the p -value to 4 decimal places $\square$ Question Help: Video 1 Video 2 Message instructor

$\sec\theta + \cos\theta = \tan\theta\sin\theta - 1$

b. $y=\frac{1 \frac{1}{4} x+\frac{7}{4}}{4}$
12. Find the derivative of the following function. $\begin{array}{r} f(x)=\frac{6 x}{x+2} \\ f^{\prime}(x)= \end{array}$

Graph the equation $y=x^{2}-4 x+3$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.

omplete: 79\%
Question Watch Video
Expand the expression to a polynomial in standard form: $\left(3 x^{2}+x-2\right)\left(x^{2}-2 x+8\right)$
Answer Attempt 1 out of 3 $\square$ Submit Answer

Question 19
Solve for the exact solutions in the interval $[0, 2\pi)$ . List your answers separated by a comma, if it has no real solutions, enter DNE.
$\sin(\frac{x}{2}) = \sqrt{2} - \sin(\frac{x}{2})$
Submit Question

Question Watch Video
Expand the expression to a polynomial in standard form: $(x+1)(2 x-5)(x-3)$
Answer Attempt 1 out of 3

Solve each equation with the quadratic formula
2) $6x^2 - 9x - 12 = 0$

Evaluate the expression $\cos^{-1}\left(\sin\left(\frac{\pi}{4}\right)\right)$ .
Give your answer as an exact value

mplete: $93 \%$
Question Complete the square to re-write the quadratic function in vertex form: $y=x^{2}-4 x-7$ Context Answer Attempt 1 out of 3 Gravity) $y=$ $\square$ Submit Answer

Evaluate the expression $\cos^{-1}\left(\sin\left(\frac{4\pi}{3}\right)\right)$ .

Find the area, A, between the curves $y = \ln{x}$ and $y = \ln{2x}$ from $x = 1$ to $x = 4$ .
The area is A = $\square$ (Type an exact answer.)

3) $12v^2 - 6v + 10 = 0$
Solve each equation with the quadratic formula

Put the quadratic into vertex form and state the coordinates of the vertex. $y=x^{2}+14 x$
Answer Attempt 1 out of 3
Vertex Form: $y=$ $\square$ Vertex: $\square$ $\square$ Submit Answer

Simplify. $\begin{array}{r} -(-34) \\ -(-34)= \end{array}$

$y = -6^{4}$
2. $y \ge 2x^2 + 9x + 10$ $4 \cdot 9$ $24 - 9 - 9 + 10$

3) $5n^2 - 12 = 0$