Calculus Archive: Questions from April 04, 2023
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
0 answers
-
0 answers
-
0 answers
-
0 answers
-
1 answer
-
0 answers
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
(1 point) Find \( y \) as a function of \( x \) if \[ y^{\prime \prime \prime}-12 y^{\prime \prime}+32 y^{\prime}=42 e^{x} \] \[ y(0)=13, y^{\prime}(0)=30, y^{\prime \prime}(0)=17 \text {. } \] \( y(x2 answers -
2 answers
-
(1 point) Find \( y \) as a function of \( x \) if \[ y^{\prime \prime \prime}-12 y^{\prime \prime}+32 y^{\prime}=42 e^{x} \] \[ y(0)=13, y^{\prime}(0)=30, y^{\prime \prime}(0)=17 \text {. } \] \( y(x2 answers -
27-34 Calculate the double integral. 27. \( \iint_{R} x \sec ^{2} y d A, \quad R=\{(x, y) \mid 0 \leqslant x \leqslant 2,0 \leqslant y \leqslant \pi / 4\} \) 28. \( \iint_{R}\left(y+x y^{-2}\right) d2 answers -
please help asap
1. Differentiate. DO NOT SIMPLIFY. [8K,1C] (a) \( y=4^{3 x^{2}} \sin (5 x) \) (b) \( y=(\sin x+\tan x)^{4} \) (c) \( \mathrm{y}=\left(\frac{(3 x+5)}{3^{2 x}}\right) \)2 answers -
2 answers
-
2 answers
-
Find the Jacobian of the transformation \[ T:(u, v, w) \longrightarrow(x, y, z) \] when \[ x=2 u v, y=6 v w, \quad z=2 u w . \] 1. \( \frac{\partial(x, y, z)}{\partial(u, v, w)}=48 u v w \) 2. \( \fra2 answers -
0 answers
-
find all values of x and y simultaneously
2. Hallar todos los valores de \( \mathbf{x} \) y \( \mathbf{y} \) tal que \( \frac{\partial f}{\partial x}=0 \) y \( \frac{\partial f}{\partial y}=0 \) simultáneamente. \[ f(x, y)=x^{3}-3 x y+y^{3}2 answers -
use the appropriate chain rule find
3. Usando la regla de la cadena apropiada hallar \( \frac{\partial w}{\partial r} \) y \( \frac{\partial w}{\partial \theta} \) \[ w=\frac{y z}{x}, \quad x=\theta^{2}, \quad y=r+\theta, \quad z=r-\the2 answers -
find the directional derivative of the function at point P in the direction of V
4. Hallar la derivada direccional de la función en el punto \( P \) en la dirección de \( v \) \[ g(x, y)=\sin (2 x) \cos (y), \quad P(0,0), \quad \mathbf{v}=\frac{\pi}{2} \mathbf{i}+\pi \mathbf{j}2 answers -
find an equation of the tangent plane and symmetric equations of the line normal to the surface of the given point
6. Hallar una ecuación del plano tangente y ecuaciones simétricas de la línea normal a la superficie en el punto dado \[ x y^{2}+3 x-z^{2}=4, \quad P(2,1,-2) \]2 answers -
2 answers
-
e \( \frac{d y}{d x}=\frac{-\sin x}{y} \), if \( y(0)=-2 \) A. \( y=-\sqrt{2 \cos x+2} \) B. \( y=-\sqrt{2 \cos x-2} \) C. \( y=-\sqrt{2 \cos x+6} \) D. \( y=-\sqrt{2 \cos x-6} \) E. \( y=-\sqrt{-2 \c2 answers -
Describe the domain and range of the function. \[ f(x, y)=\arccos (x+y) \] Domain: \[ \begin{array}{l} \{(x, y):-1 \leq x+y \leq 1\} \\ \{(x, y): x+y \leq-1\} \\ \{(x, y): x+y \geq 1\} \\ \{(x, y):-12 answers -
3. Solve the following IVP \( y^{\prime \prime}+4 y^{\prime}+4 y=25 \cos (x)+18 e^{x}, y(0)=4, y^{\prime}(0)=7 \).2 answers -
I. Determine el limite, en caso de que no exista explique por que. a) \( \lim _{(x, y) \rightarrow(0,1)} \frac{\arccos (x / y)}{1+x y} \) b) \( \lim _{(x, y) \rightarrow(0,0)} \frac{x-y}{\sqrt{x}+\sqr2 answers -
4. Solve using laplace transforms: \( y^{\prime \prime}-4 y^{\prime}+4 y=t^{3} e^{2 t}, y(0)=0, y^{\prime}(0)=0 \)2 answers -
Problem 5. Solve using laplace transforms: \( y^{\prime \prime}-4 y^{\prime}=6 e^{3 t}-3 e^{-t}, y(0)=1 \), and \( y^{\prime}(0)=-1 \),2 answers -
2 answers
-
0 answers
-
1 answer
-
0 answers
-
Encuentre el volumen del sólido formado al rotar la región encerrada por y=(e^5x)+1, y=0, x=0, x=0.31 answer
-
1 answer
-
1 answer
-
3. For the following vector fields, compute the following: (a) \( \nabla \times \vec{F} \), (b) \( \nabla \cdot \vec{F} \), (c) \( \nabla \cdot(\nabla \times \vec{F}) \), (d) \( \nabla \times(\nabla \0 answers -
1 answer
-
0 answers
-
1 answer
-
1 answer
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer