Calculus Archive: Questions from October 09, 2022
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Determine the surface area for f(x,y) = 13 + x^2 - y^2 on the region R={(x,y); x^2 + y^2 ≤ 4} ...(legible writing please)
II. Determine el área de superficie para \( f(x, y)=13+x^{2}-y^{2} \) sobre la región \( R=\left\{(x, y) ; x^{2}+y^{2} \leq 4\right\} \).2 answers -
2 answers
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2 answers
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2 answers
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Only question 15,17 please.
15-22 Calculate the double integral. 15. \( \iint_{R} \sin (x-y) d A, \quad R=\{(x, y) \mid 0 \leqslant x \leqslant \pi / 2,0 \leqslant y \leqslant \pi / 2\} \) 16. \( \iint_{R}\left(y+x y^{-2}\right)2 answers -
P7) Given that __________, then __________=
P7) Dado que \( \int_{1}^{5} f(x) d x=4 \), entonces, \( \int_{5}^{1} 2 f(x) d x+\int_{1}^{6} 3 d x= \) a) 11 b) 23 c) \( -5 \) d) 10 e) 72 answers -
Utilize the following figure to answer question P11 and P12 P11) a, b, c, d , or none of the above P12) a, b, c, d , or none of the above
Utilice la siguiente figura para contestar las preguntas P11 y P12 P11) \( \int_{0}^{2} \mathrm{~g}(\mathrm{x}) d x= \) a) 8 b) 4 c) \( \frac{1}{4} \) d) 2 e) ninguna de las anteriores P12) \( \int_{22 answers -
2 answers
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Consider the function f(x)=3+7x in [1,2] a) Determine the exact area below the graph applying the definition of the define integral: --this is: A=lim n-> Infinity __________ b) Graph the correspo
P1) (14 pts.) Considere la función \( f(x)=3+7 x \) en \( [1,2] \) a) \( (8 \) puntos) determine el área exacta bajo la gráfica aplicando la definición del integral definido: esto es: \( A=\lim _{2 answers -
P3) The following define integral
P3) (10 puntos) el siguiente integral definido \[ \int_{0}^{\frac{\pi}{2}} \sin ^{3}(x) \cos (x) d x \]2 answers -
Differentiate each of the following functions: \[ \begin{array}{c} y=3 x(4 x-5)^{2} \\ y=\frac{(8 x-5)^{3}}{(7 x+4)} \\ y=\left(\frac{3 x+4}{2 x+5}\right)^{2} \\ y=\ln (3 x+10)^{3} \\ y=(6 x+1) e^{\le1 answer -
2 answers
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Solve the initial-value problem \( y=\frac{t^{5}}{7}-\frac{1}{7 t^{4}} \) \( t \frac{d y}{d t}+2 y=t^{5}, \quad t>0, y(1)=0 \). 2. \( y=\frac{t^{5}}{7}-\frac{1}{7 t^{2}} \) 3. \( y=\frac{t^{5}}{7}+\fr2 answers -
2 answers
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please help me
\[ \frac{d y}{d x}=e^{2 x-2 y} \] A) \( y=2 \ln \left(e^{2 x}+C\right) \) C) \( y=\ln \left(e^{2 x}+C\right) \)2 answers -
The first derivative of \( y=-3 x^{-2} \) is: a). \( y^{\prime}=-6 x^{-3} \) b). \( y^{\prime}=-6 x^{-1} \) c). \( y^{\prime}=6 x^{3} \) d). \( y^{\prime}=6 x^{-3} \)2 answers -
The first derivative of \( y=-30 x^{5} \) is: a). \( y^{\prime}=-150 x^{-4} \); b): \( y^{\prime}=150 x^{4} \) c). \( y^{\prime}=-150 x^{4} \); d). \( y^{\prime}=-30 x^{4} \).2 answers -
show all work please thank you
Given \( f(x, y)=3 x^{3}-6 x^{2} y^{6}-y^{5} \) \( f_{x}(x, y)= \) \[ f_{y}(x, y)= \] \[ f_{x x}(x, y)= \] \[ f_{x y}(x, y)= \]2 answers -
Find \( y^{\prime \prime} \). \[ \begin{aligned} y=\left(9+\frac{4}{x}\right)^{4} \\ & \frac{192}{x^{4}}\left(9+\frac{4}{x}\right)^{2}+\frac{32}{x^{3}}\left(9+\frac{4}{x}\right)^{3} \\ &-\frac{16}{x^{2 answers -
If \( f(x, y)=\frac{x^{2} y}{\left(3 x-y^{2}\right)} \), find the following. (a) \( f(1,4) \) (b) \( f(-3,-1) \) (c) \( f(x+h, y) \) (d) \( f(x, x) \)2 answers -
Given \( f(x, y)=3 x^{3}-6 x^{2} y^{6}-y^{5} \) \[ f_{x}(x, y)= \] \[ f_{y}(x, y)= \] \[ f_{x x}(x, y)= \] \[ f_{x y}(x, y)= \]2 answers -
Translation: 1) Determine mass and center of mass of the solid with given density bounded by the graphs of the equations. Clearly state and evaluate the triple integral that allows it to be determined
1) Determine masa y el centro de masa del sólido con densidad dada acotado por las gráficas de las ecuaciones. Establezca y evalúe claramente el integral triple que permite determinarlo. \( x=0, x=2 answers -
Find all the second partial derivatives. \[ f(x, y)=x^{4} y-4 x^{5} y^{2} \] \( f_{x x}(x, y)= \) \[ f_{x y}(x, y)= \] \[ f_{y x}(x, y)= \] \[ f_{y y}(x, y)= \]2 answers -
4 answers
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7. Calcular el \( \lim _{x \rightarrow 1}\left(\sqrt[5]{\left(x^{2}-x\right)}+\left(x^{2}+4\right)^{2}\right) \) A. 2 B.no se puede determinar C. 0 D. 252 answers -
Considere la siguiente gráfica para evaluar los siguientes límites: \[ \lim _{x \rightarrow 0} f(x)= \] \[ \lim _{x \rightarrow 2} f(x)= \] \[ \lim _{x \rightarrow 1} f(x)= \]2 answers -
Evaluar numericamente el límite \( \lim _{x \rightarrow 0}\left(\frac{\sin x}{x}\right) \) Seleccione una: \( -0.9 \) \( 0.9 \) 1 \( 0.009 \)2 answers -
2 answers
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Evaluar el límite \( \lim _{x \rightarrow 9}\left(\frac{x^{2}-81}{\sqrt{x}-3}\right)= \) Seleccione una: 18 \( \infty \) 108 No existe 62 answers -
Evaluar el límite \[ \lim _{h \rightarrow-2}\left(\frac{h^{3}+8}{h+2}\right)= \] Seleccione una: 0 \( \infty \) Ninguna de las anteriores 12 6 \( \frac{0}{0} \)2 answers -
Evaluar el límite \( \lim _{x \rightarrow 5}\left(\frac{-7 x^{2}+39 x-20}{4 x^{2}-13 x-35}\right)= \) Seleccione una: \( \infty \) \( -\frac{27}{31} \) 6 \( -\frac{31}{27} \) No existe2 answers -
Evaluar el límite \[ \lim _{h \rightarrow 0}\left(\frac{(x+h)^{2}-x^{2}}{h}\right)= \] Seleccione una: \( 2 x \) Ninguna de las anteriores 0 \( \infty \) 22 answers -
Evaluar el límite \[ \lim _{x \rightarrow-2^{+}}\left(\frac{1}{(x+3)^{3}}\right)= \] Seleccione una: \( \infty \) 1 \( 1 / 125 \) \( -1 \) \( 1 / 15 \)2 answers -
Considere la función \[ f(x)=\frac{x^{2}+x}{x^{3}-x} \] ¿cuál de los siguientes enunciados es cierto? Seleccione una: \( f \) tiene una discontinuidad no removible en \( x=1 \) y \( (-1,1 / 2) \) e1 answer -
Consider the following functions. \[ f(x, y)=(x y, x+y, x-y) \quad g(a, b, c)=(a-b, a+b, a b) \] Calculate \( \mathbf{D}(g \circ f)(1,1) \).2 answers -
2 answers
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Find the general solution of the nonhomogeneous equation \[ y^{(4)}+18 y^{\prime \prime}+81 y=\cos (2 x)+2 \] a) \( \quad y=C_{1} e^{3 x}+C_{2} x e^{3 x}+C_{3} \cos (3 x)+C_{4} \sin (3 x)-\frac{2}{81}2 answers -
Find \( y^{\prime} \) and \( y^{\prime \prime} \) \[ y=\frac{\ln (5 x)}{x^{7}} \] \[ y^{\prime}= \] \[ y^{\prime \prime}= \]2 answers -
2 answers
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Given \( f(x, y)=6 x^{3} y-5 x y^{3} \). Compute: \[ \begin{array}{l} \frac{\partial^{2} f}{\partial x^{2}}= \\ \frac{\partial^{2} f}{\partial y^{2}}= \end{array} \]2 answers -
Calculate \( \iint_{\mathcal{S}} f(x, y, z) d S \) For \[ x^{2}+y^{2}=25, \quad 0 \leq z \leq 7 ; \quad f(x, y, z)=e^{-z} \] \[ \iint_{\mathcal{S}} f(x, y, z) d S= \]2 answers