Calculus Archive: Questions from February 09, 2023
-
2 answers
-
Calculate the curl of \( F=\langle-y, x y, z\rangle \). \[ \operatorname{curl} F=\langle 1,0, y+1\rangle \] \[ \operatorname{curl} F=\langle 0,0, y+1\rangle \] C \( \operatorname{curl} F=0 \) \[ \oper2 answers -
(8) Find the explicit solution to DHE Given diffgrentit equations a) \( y^{\prime \prime}-2 y^{\prime}-4 y=0 \) b) \( y^{\prime \prime}-4 y^{\prime}+3 y=0 \) c) \( y^{\prime \prime}-4 y^{\prime}+3 y=02 answers -
0 answers
-
2 answers
-
Hallar las siguientes transformadas de Laplace inversas: 1. \( L^{-1}\left\{\frac{1}{s^{4}}\right\} \) 2. \( L^{-1}\left\{\frac{1}{s^{2}}-\frac{48}{s^{5}}\right\} \) 3. \( L^{-1}\left\{\frac{1}{4 s+1}2 answers -
\[ \begin{array}{l} 1 y^{\prime}+6 t=e^{4 t}, y(0)=2 \\ 2 y^{\prime \prime}+6 y^{\prime}+4 y=0, y(0)=1, y^{\prime}(0)=0 \\ 3 y^{\prime}+t=e^{5 t}, y(0)=1 \\ 4 y^{\prime \prime}-5 y^{\prime}+6 y=e^{4 t2 answers -
\[ (2 x y+3) d x+\left(x^{2}-1\right) d y=0 \] Solve: \[ \cos y d x+\left(e^{y}-x \sin y\right) d y=0 \]2 answers -
2 answers
-
\[ \begin{array}{l} \text { 1. } y^{\prime}+6 t=e^{4 t}, y(0)=2 \\ 2 . y^{\prime \prime}+6 y^{\prime}+4 y=0, y(0)=1, y^{\prime}(0)=0 \\ 3 . y^{\prime}+t=e^{5 t}, y(0)=1 \\ 4 . y^{\prime \prime}-5 y^{\2 answers -
b
Para el vecter \( v= \) encuchtre a y \( b \) tal que \( v=\sigma u+b w \) para \( u=y \) \( w=\langle 1,-1\rangle \).2 answers -
Find \( M_{x^{\prime}} M_{y^{\prime}} \) and \( (\bar{x}, \bar{y}) \) for the lamina of uniform density \( p \) bounaed \( u y \) \[ \begin{array}{l} y=x^{2}, \quad y=2 x+3 \\ M_{x}= \\ M_{y}= \\ (\ba2 answers -
3b
Encuentre las coordenadas del punto medio del apgmento de linen que une los puntos \( (-1,0,-3) \) \[ y(4,4,5) \text {. } \]2 answers -
2 answers
-
2 answers
-
2 answers
-
2 answers
-
2 answers
-
Find optimal value of each
5. \( y=f\left(x_{1}, x_{2}\right)=-4 x_{1}-6 x_{2}+x_{1}^{2}-x_{1} x_{2}+2 x_{2}^{2} \) 6. \( y=f\left(x_{1}, x_{2}\right)=12 x_{1}-4 x_{2}-2 x_{1}^{2}+2 x_{1} x_{2}-x_{2}^{2} \) 7. \( y=f\left(x_{1}2 answers -
siguiente gráfica de la función \( y=f(x) \) que se ilustra a continuación, entonces \( \lim _{x \rightarrow 2} f(x)= \)2 answers -
Express the integral \( \iiint_{E} f(x, y, z) d V \) as an iterated integral in six different ways, where \( E \) is the solid bounded by \( z=0, x=0, z=y-4 x \) and \( y=16 \). 1. \( \int_{a}^{b} \in2 answers -
1. Identifique la gráfica en el espacio \( \frac{x^{2}}{4}-\frac{y^{2}}{25}-\frac{z^{2}}{49}=1 \) a. Hiperboloide de un manto paralelo al eje " \( x \) " b. Hiperboloide de dos mantos paralelo al eje2 answers -
3. La superficie representada por la ecuación \( \rho=2 \csc \phi \) describe: a. Una recta b. Un punto c. Un plano d. un cilindro2 answers -
4. Dada la ecuación \( \frac{x^{2}}{4}+\frac{y^{2}}{9}+\frac{z^{2}}{36}=1 \) a. Identifique la gráfica b. Complete la siguiente tabla: c. Grafique la ecuación c. Grafique la ecuación2 answers -
Calculus II Problem
\( \lim _{n \rightarrow \infty}\left(e-n^{-1} \cos (n \pi) \sin \left(\frac{1}{n}\right)\right) \)2 answers -
Find \( y^{\prime \prime} \) \[ y=\frac{3 x-2}{2 x+3} \] \[ y^{\prime \prime}= \] For the function \( y=4 x^{5} \), find \( \frac{d^{4} y}{d x^{4}} \) \[ \frac{d^{4} y}{d x^{4}}= \]2 answers -
1. Evaluar \( \int_{C}(x y+y+z) d s \), donde \( C: r(t)=2 t i+t j+(2-2 t) k, 0 \leq t \leq 1 \) 2. Halle el trabajo hecho por el campo vectorial \( F(x, y, z)=\left(y-x^{2}\right) i+\left(z-y^{2}\rig2 answers -
Evaluate the following double integrals (c) \( \iint_{R}(x+2 y) d A \), where \( R=\{(x, y) \mid 0 \leq y \leq 2, y-1 \leq x \leq 1\} \).2 answers -
Calculate \( \iint_{\mathcal{S}} f(x, y, z) d S \) For \[ y=2-z^{2}, \quad 0 \leq x, z \leq 6 ; \quad f(x, y, z)=z \] \[ \iint_{\mathcal{S}} f(x, y, z) d S= \]1 answer -
2 answers
-
8. Differentiate the following functions twice with respect to \( x \) (a) \( y=6 x \) (b) \( y=3 x^{2}+2 \) (c) \( y=4 x^{3}+10 \) (d) \( y=\frac{1}{x} \) 79 (e) \( y=x \) (f) \( y=7 \) (g) \( y=6 x^2 answers -
(c) \( \lim _{x \rightarrow \infty}\left(x^{7}+3 x^{4}+2\right) e^{-x} \) (e) \( \lim _{x \rightarrow-\infty}\left[x-\sqrt{x^{2}+3 x}\right] \) (f) \( \lim _{x \rightarrow 1}(x-1) \tan \frac{\pi x}{2}2 answers