Calculus Archive: Questions from October 03, 2022
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\( \Delta 1+B(x+1 y-1 \) i 4) \( x=(i-4)^{3}+1 \) \( 21+56+21^{6}+3 \) He mivisen a) \( r(\sin )+\mathrm{x}^{n}+\sin +1 \) b) \( f(x)=24^{4}-4 x+1 \) 1.) \( f \) in \( =x^{7}=16 \)0 answers -
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2. Solve the IVP: \[ \left\{\begin{array}{l} y^{\prime \prime}+4 y^{\prime}+3 y=0 \\ y(0)=2, y^{\prime}(0)=-1 \end{array}\right. \]2 answers -
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Complete the table. \[ \begin{array}{l|l|l} y=f(g(x)) & u=g(x) & y=f(u) \\ \hline y=(6 x-8)^{8} & u= & y=u^{8} \end{array} \] LARCALCET7 3.4.008. Complete the table.2 answers -
1. Let \( f(x, y)=\ln \left(y^{2}+x^{3}\right) \). Compute \( D_{\left\langle\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right\rangle^{f}}^{f(-2,-3) \text {. }} \)2 answers -
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Find \( y^{\prime} \) and \( y^{\prime \prime} \). \[ y=\cos (\sin (6 \theta)) \] \[ y^{\prime}= \] \[ y^{\prime \prime}= \]2 answers -
Find the derivative of the function. \[ y=\left[x+\left(x+\sin ^{2}(x)\right)^{7}\right]^{5} \] \[ y^{\prime}= \]2 answers -
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2) Find the domain of \( f(x, y)=\sqrt{4-x^{2}-y^{2}} \). 3) Describe the footprint of \( f(x, y)=\sqrt{4-x^{2}-y^{2}} \).2 answers -
1. Let \( f(x, y)=\ln \left(y^{2}+x^{3}\right) \). Compute \( D_{\left\langle\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right\rangle} f(-2,-3) \).2 answers -
(1 point) If \( f(x)=\frac{5 x^{2}+2 x+29}{\sqrt{x}} \), find \( f^{\prime}(x) \) \[ f^{\prime}(x)= \] (1 point) If \( f(x)=6 x^{2}-5 x-24 \) \[ f^{\prime}(x)= \] (1 point) If \( f(x)=2 e^{x}+12 \)2 answers -
I NEED THIS ASAP PLEASE SELECT THE CORRECT ONE, NEED PROCEDURE
Seleccione la respuesta correcta de la siguiente operación: \( W(x \operatorname{sen}(2 x), 3 x \operatorname{sen}(2 x)) \) 0 \[ x^{2} \operatorname{sen}(x)-x \cos (x) \] \[ x^{2} \operatorname{sen}(2 answers -
NEED THIS ASAP PLEASE SELECT THE CORRECT OPTION + PROCEDURE
Seleccione la respuesta correcta de la siguiente operación: \( W(x \operatorname{sen}(x),-x \operatorname{sen}(2 x)) \) \[ \begin{array}{l} x^{2} \operatorname{sen}(x) \cos (x)-x^{2} \operatorname{se2 answers -
HELP WITH 9.21 9.22 9.23 9.24 9.25 9.26
Solve the following differential equations. 9.17. \( y^{\prime \prime}-y=0 \) 9.18. \( y^{\prime \prime}-y^{\prime}-30 y=0 \) 9.19. \( y^{\prime \prime}-2 y^{\prime}+y=0 \) 9.21. \( y^{\prime \prime}+2 answers -
Determine if the equation 1 gives in result the 2nd one. true or false please add the procedures
Determine si el conjunto \( \left\{e^{-3 x}, e^{-2 x}, e^{3 x}\right\} \) forman un conjunto fundamental de soluciones de la EDO \( y^{\prime}+2 y^{\prime}-9 y^{*}-18 y=0 \) Verdadero Falso2 answers -
Determine all values \( \mathrm{c} \) so that \( w(x, y, z)=e^{5 x+12 y} \sin (c z) \) satisfies \( w_{x x}(x, y, z)+w_{y y}(x, y, z)=-w_{z z}(x, y, z) \)2 answers -
47,50,63,65,67
47. \( y=(1+2 \tan u)^{4.5} \) 48. \( y=\left(1-e^{x}\right)^{4} \) 49. \( y=\sqrt{1+\cot ^{2} x} \) 50. \( g(x)=\frac{x}{e^{3 x}} \) 51. \( y=\frac{2 e^{x}+3 e^{-x}}{3} \) 52. \( f(x)=x e^{7 x} \) 532 answers -
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Determine \( f^{(2)}(x) \) when \[ f(x)=\sin x+2 \cos x \text {. } \] 1. \( f^{(2)}(x)=-2 \cos x+\sin x \) 2. \( f^{(2)}(x)=-\cos x+2 \sin x \) 3. \( f^{(2)}(x)=-\sin x+2 \cos x \) 4. \( f^{(2)}(x)=\c2 answers -
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Given \( f(x, y)=-3 x^{4}+5 x^{2} y^{6}+4 y^{2} \) \( f_{x}(x, y)= \) \[ f_{y}(x, y)= \] \[ f_{x x}(x, y)= \] \[ f_{x y}(x, y)= \]2 answers -
Given \( f(x, y, z)=\sqrt{6 x-4 y+z} \) \( f_{x}(x, y, z)= \) \[ f_{y}(x, y, z)= \] \[ f_{z}(x, y, z)= \]2 answers -
Given \( f(x, y, z)=\sqrt{2 x^{2}+6 y^{2}+3 z^{2}} \) \( f_{x}(x, y, z)= \) \[ f_{y}(x, y, z)= \] \[ f_{z}(x, y, z)= \]2 answers -
Find \( y^{\prime} \) and \( y^{\prime \prime} \). \[ y=\cos (\sin (6 \theta)) \] \[ y^{\prime}= \] \[ y^{\prime \prime}= \]2 answers -
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25) \( y=\cos 2 x^{3} \csc 3 x^{5} \) 26) \( y=\left(-3 x^{3}+1\right)(x+3)^{4} \) 27) \( y=\frac{\ln 4 x^{3}}{e^{x^{2}}} \) 28) \( y=\frac{\sqrt[3]{5 x^{2}+2}}{\left(-3 x^{4}+4\right)^{5}} \)2 answers -
\( f(x, y)=\ln \left(y^{2}+x^{3}\right) \). Compute \( D_{\left\langle\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right\rangle}^{f(-2,-3)} \)2 answers -
Find the derivatives implicitly. 1. Find \( y^{\prime} \) if \( 2=x-3 y^{2} \). 2. Find \( y^{\prime} \) if \( 2 x=x^{2}-2 y^{3} \). 3. Find \( y^{\prime} \) if \( x^{2} y^{2}-3 x^{4}=4 x^{2} \).1 answer -
1. Let \( f(x, y)=\ln \left(y^{2}+x^{3}\right) \). Compute \( D \) \( \left\langle\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right\rangle^{f(-2,-3)} \)2 answers -
Let \( F: \mathbb{R}^{2} \rightarrow \mathbb{R}^{3} \) and \( G: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \) where \( F(x, y)=(x+y, 2 x,-y) \) and \( G(x, y)=(y, x) \). Then, \( (F \circ G)(x, y)= \)2 answers -
\( f^{\prime}(x) \) if \( f(x)=\int_{x^{2}}^{x} \sin (\cos (t)) d t \) \( \sin \left(\cos \left(x^{2}\right)\right) x^{2}-\sin (\cos (x)) x \) \( \sin \left(\cos \left(x^{2}\right)\right)-\sin (\cos (2 answers -
\( \int \frac{-1}{1+\sin x} d x \) (A) \( \ln |1+\sin x|+C \) (B) \( x+\ln |\csc x-\cot x|+C \) (C) \( \frac{1}{\sec x+\tan x}+C \) (D) \( -\frac{1}{\sec x+\tan x}+C \)2 answers -
\( \theta \) if \( 0^{\circ} \leq \theta \leq 360^{\circ} \) \( \tan \theta=-\sqrt{3} \) b) \( \sin \theta=\frac{\sqrt{3}}{2} \) \( \cos \theta=\frac{-1}{2} \) d) \( \quad \sin \theta=\frac{1}{\sqrt{22 answers -
Evaluate \( \int 4 \sec ^{4} x \tan x d x \) (A) \( \frac{\tan ^{4} x}{4}+\frac{\tan ^{2} x}{2}+C \) (B) \( \tan ^{4} x+4 \tan ^{2} x+C \) (C) \( \tan ^{4} x+2 \tan ^{2} x+C \) (D) \( u^{4}+2 u^{2}+C2 answers -
solve it quickly please
\( \begin{aligned} f(x, y, z) &=1-\sqrt{x^{2}+y^{2}+z^{2}} \\ B=\left\{(x, y, z) \mid x^{2}+y^{2}+z^{2} \leq 9, y\right.&\geq 0, z \geq 0\} \end{aligned} \)2 answers -
Number 42 please!!!
35-54. Continuity At what points of \( \mathbb{R}^{2} \) are the following functions continuous? 35. \( f(x, y)=x^{2}+2 x y-y^{3} \quad \) 36. \( f(x, y)=\frac{x y}{x^{2} y^{2}+1} \) 37. \( p(x, y)=\f2 answers -
Given \( f(x, y)=-\left(x^{4} y+9 x y^{2}\right) \) \[ \begin{array}{l} \frac{\partial^{2} f}{\partial x^{2}}= \\ \frac{\partial^{2} f}{\partial y^{2}}= \end{array} \]1 answer -
differentiate the function.
21. \( y=\ln \left(e^{-x}+x e^{-x}\right) \) 23. \( h(x)=e^{x^{2}+\ln x} \) 25. \( y=\ln \frac{x^{a}}{b^{x}} \)2 answers -
please do question 12 and 15
\( 9-24 \) Find the exact length of the curve. 9. \( y=\frac{2}{3} x^{3 / 2}, \quad 0 \leqslant x \leqslant 2 \) 10. \( y=(x+4)^{3 / 2}, \quad 0 \leqslant x \leqslant 4 \) 11. \( y=\frac{2}{3}\left(1+2 answers -
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