Calculus Archive: Questions from April 01, 2023
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
2 answers
-
0 answers
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
1 answer
-
Suppose \[ \begin{array}{l} E=\{(x, y, z): 1 \leq y \leq 4, y \\ . \text { Evaluate } \iiint_{E} \frac{z^{2}}{x^{2}+z^{2}} d V \end{array} \] \[ \begin{array}{l} \frac{9 \pi}{8} \\ \frac{\pi \ln (4)}{0 answers -
0 answers
-
I. Determine el limite, en caso de que no exista explique por qué. 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}+\sq2 answers -
II. Analice la continuidad de la función a) \( f(x, y, z)=\frac{z}{x^{2}+y^{2}-4} \) b) \( f(x, y)=\left\{\begin{array}{c}\frac{\operatorname{sen}(x y)}{x y}, x y \neq 0 \\ 1, x y=0\end{array}\right.2 answers -
2 answers
-
2 answers
-
Given \( y=-4 \cos (2 x), \frac{d^{2} y}{d x^{2}}= \) Select one: a. \( 16 \cos (2 x) \) b. \( 16 \sin (2 x) \) c. \( -16 \cos (2 x) \) d. \( -16 \sin (2 x) \)2 answers -
Find the Jacobian of the transformation. \[ x=2 u / v, \quad y=3 v / w, \quad z=7 w / u \] \[ \frac{\partial(x, y, z)}{\partial(u, v, w)}= \]2 answers -
I. Halle el diferencial total a) \( z=e^{x} \operatorname{sen}(y) \) b) \( w=\frac{x+y}{z-3 y} \) II. Considere la función \( f(x, y)=y e^{x} \) y trabaje: a) Evaluar \( f(2,1) \) y \( f(2.1,1.05) \)2 answers -
Find the limit, if it exists. \[ \lim _{(x, y) \longrightarrow(1,2)}\left(x^{5}+4 x^{3} y-5 x y^{2}\right) \] A. \( \lim _{(x, y) \longrightarrow(1,2)} f(x, y)=10 \) B. \( \lim _{(x, y) \longrightarro2 answers -
a) \( z=e^{x} \operatorname{sen}(y) \) b) \( w=\frac{x+y}{z-3 y} \) II. Considere la función \( f(x, y)=y e^{x} \) y trabaje: a) Evaluar \( f(2,1) \) y \( f(2.1,1.05) \) b) Calcular \( \Delta z=f(x+\2 answers -
2 answers
-
0 answers
-
2 answers