Math

Problem 65901

Determine the determinant $D=\left|\begin{array}{ccc}0 & 5 & 2 \\ 4 & -3 & 0 \\ 2 & 4 & 2\end{array}\right|$
Let $\vec{u}=(3,-1,2)$ and $\vec{v}=(4,1,1)$ . Normalize the vector $\vec{u}$ . Determine the cosines of the angles between $\vec{u}$ and

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Problem 65902

3). Evaluate by changing of the ordrof integration. (a) $\int_{0}^{2} \int_{1}^{e^{x}} d y d x$ (b) $\int_{0}^{1} \int_{x^{2}}^{2-x} x y d x d y$ (c) $\int_{0}^{4 a} \int_{x / 4 a}^{2 \sqrt{a x}} d y d x$ .

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Problem 65903

$\qquad$ 一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.
Fig. a
Fig. b

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Problem 65904

得分二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

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Problem 65905

得分
4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

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Problem 65906

be Л. (此 10 分) $R_{1}=2 \mathrm{k} \Omega, \mathrm{R}_{2}=3 \mathrm{k} \Omega, \mathrm{R}_{3}=4 \mathrm{k} \Omega, \mathrm{R}_{4}=12 \mathrm{k} \Omega$ . Determine the reldionship of $\mathrm{V}_{0}$ and $\mathrm{V}_{1}, \mathrm{~V}_{2}, \mathrm{~V}_{3}$ .

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Problem 65907

目分六、(本题 20 分) $R_{D}=3 \mathrm{k} \Omega, R_{G}=10 \mathrm{M} \Omega, V_{G G}=2 \mathrm{~V}, V_{D D}=15 \mathrm{~V}, I_{D S S}=8 \mathrm{~mA}, V_{P}=4 \mathrm{~V}$ . (1) Calculate DC bias $V_{G S}, I_{D}$ , and $V_{D S}$ . (2) Draw the equivalent circuit for $A C$ analysis, and determine $\mathrm{g}_{\mathrm{m}}, \mathrm{Z}_{\mathrm{i}}, \mathrm{Z}_{0}$ and $\mathrm{A}_{\mathrm{v}}$ .

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Problem 65908

$f(x)=x e^{x}-x$ is concave up ou?

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Problem 65909

8. If $f(x)=\left\{x^{2}+3\right.$ (A) $a=1, b=3$ (B) $\frac{1}{7}$ (C) $\frac{1}{3}$ (D) $\frac{1}{3}$ (B) $\left.a=\begin{array}{c}x<0 \\ 3, b=0\end{array}\right\}$ and $f(x)$ is differentiable at $x=0$ , then: (C) $a=3, b=1$ (D) $a=0, b=3$ $\begin{array}{lll}\text { (A) } x=\ln 2 & \text { (B) } x=\ln 5 & \text { (C) } x=\ln 3\end{array}$ (D) $x=2 \ln 5$

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Problem 65910

$\qquad$ (D) $y=0$

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Problem 65911

- A është vlerësues i pazhvendosur? Pse? 5.24. Shqyrtojmë shpërndarjen eksponenciale të zhvendosur me densitet $f(x)=\lambda e^{-\lambda(x-s)}$ $k u X \geq 5$ . Gjeni me anë të metodës së përgjasisë maksimale një vlerësues për $\lambda$ ?

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Problem 65912

v. Solve the following. 1) Radha buys 2 kg 500 g of carrot, 2 kg 500 g of brinjal and 3 kg 250 g of tomatoes from a vegetable shop. Find the total weight of vegetables bought by her. hi.w 2) A merchant has 68 kg 250 g of wheat Subhthat 15 kg 250 g of wheat to one customer with him. He sells another customer. What is the weight of 13 kg 500 g to with him? 3) The yield of paddy per acre is Rachappa has 30 acre is 29 quintals and 50 kg . paddy? 4) 18 kg 400 g of sugar is to be packed in 4 bags equally. What is the weight of each bag? 5) A farmer gets 60 kg 400 g of of onion from one field and 56 kg 800 g from another field. If he sells 98 kg 200 g of onion, find the weight of onions left with him.

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Problem 65913

تمسرين010: ( ش. ت. م 2011 ) (1 $A=2 x^{2}-7 x+3+(2 x-1)(3 x+2): A$ A $A$ $(2 x-1)(4 x-1)=0$ : ( 3

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Problem 65914

Personal Finance Problem LG2 P5-6 Time value As part of your financial planning, you wish to purchase a nem actly 5 years from today. The car you wish to purchase costs $\$ 14,000$ today, 2 , your research indicates that its price will increase by $2 \%$ to $4 \%$ per year overth next 5 years. a. Estimate the price of the car at the end of 5 years if inflation is (1) $2 \%$ perped and (2) $4 \%$ per year. b. How much more expensive will the car be if the rate of inflation is $4 \%$ rathe than $2 \%$ ? c. Estimate the price of the car if inflation is $2 \%$ for the next 2 years and $4 \%$ s. 3 years after that.

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Problem 65915

E3 divide numbers ending in zerse ward prublems Giff video quest ansure
Kate bought a large carton of printer paper from an office supply store. The carton has 8 packs of paper and 5,600 sheets in all. How many sheets of paper are in each pack? 4 $\square$ sheets of paper subrnit

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Problem 65916

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$

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Problem 65917

B) If the function $f(x)=a x^{3}-3 x^{2}+b x+c$ has a local minimum at -5 and a local maximum at $x=\frac{-1}{2}$ and inflection point at $x=\frac{1}{4}$ find $a, b, c \in R$ .

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Problem 65918

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is $y^{2}+16 x=0$ and hyperbola passes through at the point $(6,2 \sqrt{2})$

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Problem 65919

B) If $z=\cos 2 \theta+i \sin 2 \theta$ prove that $\frac{Z+1}{Z-1}=-i \cot \theta$

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Problem 65920

Q3: A) Let M be a point moving on the curve $y^{2}=x^{3}$ such that rate of change the point $M$ getting away from of the origin point is 4 unit $/ \mathrm{s}$ . Find the rate of chang of the x -coordinate for M when $x=2$

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Problem 65921

$\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}$

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Problem 65922

Q22 Solve the linear congruence $13 x \equiv 2(\bmod 2 \cdot 3.5)$ by solving the system $\begin{array}{l} 13 x \equiv 2(\bmod 2) \\ 13 x \equiv 2(\bmod 3) \\ 13 x \equiv 2(\bmod 5) \end{array}$

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Problem 65923

3) ما عدد مولات الأكسين في مول واحد من CaCO $_{3}^{\text {؛ }}$

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Problem 65924

$\lim _{x \rightarrow 0^{+}} x-1-\frac{2 \ln x^{2}}{\sqrt{x}}$

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Problem 65925

$\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}$

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Problem 65926

$\int_{0}^{1} \int_{0}^{y^{2}} \sqrt{1+y^{3}} d x d y$

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Problem 65927

Deduce the solutions of the following equations: i. $x^{4}-5 x^{2}-6=0$ ii. $x-5 \sqrt{x}-6=0$

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Problem 65928

Solve for the legs of the 45-45-90 triangle. a. $x=5$ and $y=5$ b. $x=5$ and $y=5 \sqrt{2}$ c. $x=5 \sqrt{2}$ and $y=5$ d. $x=5 \sqrt{2}$ and $y=5 \sqrt{2}$

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Problem 65929

Solve for the long leg and for the hypotenuse of the $30-60-90$ thangle. a. $a=20$ and $b=10$ b. $a=20$ and $b=10 \sqrt{3}$ c. $a=10$ and $b=10 \sqrt{3}$ d. $a=10 \sqrt{3}$ and $b=20$

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Problem 65930

2.) Jackson spent $\frac{2}{6}$ of his money on a sweatshirt, $\frac{5}{12}$ of his money on a pair of sneakers, and $\frac{1}{6}$ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

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Problem 65931

c.) $\frac{6}{8}=$ $\square$

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Problem 65932

$\angle \mathrm{LMN}=$ $\qquad$ Super Teacher Worksheets - $\boldsymbol{V}$

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Math

Problem 65901

Problem 65902

Problem 65903

\qquad一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.Fig. aFig. b

Problem 65904

得分 二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

Problem 65905

得分4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

Problem 65906

Problem 65907

Problem 65908

f(x)=xex−xf(x)=x e^{x}-xf(x)=xex−x is concave up ou?

Problem 65909

Problem 65910

\qquad (D) y=0y=0y=0

Problem 65911

Problem 65912

Problem 65913

تمسرين010: ( ش. ت. م 2011 ) (1 A=2x2−7x+3+(2x−1)(3x+2):AA=2 x^{2}-7 x+3+(2 x-1)(3 x+2): AA=2x2−7x+3+(2x−1)(3x+2):A A AAA (2x−1)(4x−1)=0(2 x-1)(4 x-1)=0(2x−1)(4x−1)=0 : ( 3

Problem 65914

Problem 65915

E3 divide numbers ending in zerse ward prublems Giff video quest ansureKate bought a large carton of printer paper from an office supply store. The carton has 8 packs of paper and 5,600 sheets in all. How many sheets of paper are in each pack? 4 □\square□ sheets of paper subrnit

Problem 65916

Q1: A) Prove that [53−w−53−w2]2=−75169\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}[3−w5​−3−w25​]2=−16975​

Problem 65917

B) If the function f(x)=ax3−3x2+bx+cf(x)=a x^{3}-3 x^{2}+b x+cf(x)=ax3−3x2+bx+c has a local minimum at -5 and a local maximum at x=−12x=\frac{-1}{2}x=2−1​ and inflection point at x=14x=\frac{1}{4}x=41​ find a,b,c∈Ra, b, c \in Ra,b,c∈R.

Problem 65918

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is y2+16x=0y^{2}+16 x=0y2+16x=0 and hyperbola passes through at the point (6,22)(6,2 \sqrt{2})(6,22​)

Problem 65919

B) If z=cos⁡2θ+isin⁡2θz=\cos 2 \theta+i \sin 2 \thetaz=cos2θ+isin2θ prove that Z+1Z−1=−icot⁡θ\frac{Z+1}{Z-1}=-i \cot \thetaZ−1Z+1​=−icotθ

Problem 65920

Q3: A) Let M be a point moving on the curve y2=x3y^{2}=x^{3}y2=x3 such that rate of change the point MMM getting away from of the origin point is 4 unit /s/ \mathrm{s}/s. Find the rate of chang of the x -coordinate for M when x=2x=2x=2

Problem 65921

A+B+C=05A+4B+C+D=010A+6B+D=26A=1\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}A+B+C=05A+4B+C+D=010A+6B+D=26A=1​

Problem 65922

Problem 65923

3) ما عدد مولات الأكسين في مول واحد من CaCO 3؛ _{3}^{\text {؛ }}3؛ ​

Problem 65924

lim⁡x→0+x−1−2ln⁡x2x\lim _{x \rightarrow 0^{+}} x-1-\frac{2 \ln x^{2}}{\sqrt{x}}limx→0+​x−1−x​2lnx2​

Problem 65925

A+B=0B+C=−3A+C=0\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}A+B=0B+C=−3A+C=0​

Problem 65926

∫01∫0y21+y3dxdy\int_{0}^{1} \int_{0}^{y^{2}} \sqrt{1+y^{3}} d x d y∫01​∫0y2​1+y3​dxdy

Problem 65927

Deduce the solutions of the following equations: i. x4−5x2−6=0x^{4}-5 x^{2}-6=0x4−5x2−6=0 ii. x−5x−6=0x-5 \sqrt{x}-6=0x−5x​−6=0

Problem 65928

Solve for the legs of the 45-45-90 triangle. a. x=5x=5x=5 and y=5y=5y=5 b. x=5x=5x=5 and y=52y=5 \sqrt{2}y=52​ c. x=52x=5 \sqrt{2}x=52​ and y=5y=5y=5 d. x=52x=5 \sqrt{2}x=52​ and y=52y=5 \sqrt{2}y=52​

Problem 65929

Solve for the long leg and for the hypotenuse of the 30−60−9030-60-9030−60−90 thangle. a. a=20a=20a=20 and b=10b=10b=10 b. a=20a=20a=20 and b=103b=10 \sqrt{3}b=103​ c. a=10a=10a=10 and b=103b=10 \sqrt{3}b=103​ d. a=103a=10 \sqrt{3}a=103​ and b=20b=20b=20

Problem 65930

2.) Jackson spent 26\frac{2}{6}62​ of his money on a sweatshirt, 512\frac{5}{12}125​ of his money on a pair of sneakers, and 16\frac{1}{6}61​ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

Problem 65931

c.) 68=\frac{6}{8}=86​= □\square□

Problem 65932

∠LMN=\angle \mathrm{LMN}=∠LMN= \qquad Super Teacher Worksheets - V\boldsymbol{V}V

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$\qquad$ 一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.
Fig. a
Fig. b

得分二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

得分
4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

$f(x)=x e^{x}-x$ is concave up ou?

$\qquad$ (D) $y=0$

تمسرين010: ( ش. ت. م 2011 ) (1 $A=2 x^{2}-7 x+3+(2 x-1)(3 x+2): A$ A $A$ $(2 x-1)(4 x-1)=0$ : ( 3

E3 divide numbers ending in zerse ward prublems Giff video quest ansure
Kate bought a large carton of printer paper from an office supply store. The carton has 8 packs of paper and 5,600 sheets in all. How many sheets of paper are in each pack? 4 $\square$ sheets of paper subrnit

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$

B) If the function $f(x)=a x^{3}-3 x^{2}+b x+c$ has a local minimum at -5 and a local maximum at $x=\frac{-1}{2}$ and inflection point at $x=\frac{1}{4}$ find $a, b, c \in R$ .

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is $y^{2}+16 x=0$ and hyperbola passes through at the point $(6,2 \sqrt{2})$

B) If $z=\cos 2 \theta+i \sin 2 \theta$ prove that $\frac{Z+1}{Z-1}=-i \cot \theta$

Q3: A) Let M be a point moving on the curve $y^{2}=x^{3}$ such that rate of change the point $M$ getting away from of the origin point is 4 unit $/ \mathrm{s}$ . Find the rate of chang of the x -coordinate for M when $x=2$

$\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}$

3) ما عدد مولات الأكسين في مول واحد من CaCO $_{3}^{\text {؛ }}$

$\lim _{x \rightarrow 0^{+}} x-1-\frac{2 \ln x^{2}}{\sqrt{x}}$

$\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}$

$\int_{0}^{1} \int_{0}^{y^{2}} \sqrt{1+y^{3}} d x d y$

Deduce the solutions of the following equations: i. $x^{4}-5 x^{2}-6=0$ ii. $x-5 \sqrt{x}-6=0$

Solve for the legs of the 45-45-90 triangle. a. $x=5$ and $y=5$ b. $x=5$ and $y=5 \sqrt{2}$ c. $x=5 \sqrt{2}$ and $y=5$ d. $x=5 \sqrt{2}$ and $y=5 \sqrt{2}$

Solve for the long leg and for the hypotenuse of the $30-60-90$ thangle. a. $a=20$ and $b=10$ b. $a=20$ and $b=10 \sqrt{3}$ c. $a=10$ and $b=10 \sqrt{3}$ d. $a=10 \sqrt{3}$ and $b=20$

2.) Jackson spent $\frac{2}{6}$ of his money on a sweatshirt, $\frac{5}{12}$ of his money on a pair of sneakers, and $\frac{1}{6}$ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

c.) $\frac{6}{8}=$ $\square$

$\angle \mathrm{LMN}=$ $\qquad$ Super Teacher Worksheets - $\boldsymbol{V}$