Calculus Archive: Questions from May 27, 2023
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\[ \mathrm{f}(x, y)=\min (x, 5 y) \] example, \( f(3,1)=\min (3,5)=3 \). Compute \[ \int_{x=0}^{1} \int_{y=0}^{1} \mathrm{f}(x, y) \mathrm{dy} \mathrm{dx}=\int_{x=0}^{1} \int_{y=0}^{1} \min (x, 5 y) \2 answers -
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Evaluar la integral ∫ c F•dr donde F(x,y,z)= <-2y+2z, x+y-z, x-y> y S: es la superficie constituida por la intersección del plano z=4 en el paraboloide z=8-(x²+y²). Bosque la superficie
8. Evaluar la \( \int_{C} \vec{F} \cdot d \vec{r} \), donde \( \dot{F}(x, y: z)=(-2 y+2 z, x+y-z, x-y) \) y \( S \) : es la superficie constituida por la intersección del plano \( z=4 \) en el parabo2 answers -
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Using variation of parameters, find the general solution of the differential equations below: i. \( y^{\prime \prime}+y=\tan x \) ii. \( \left(x^{2}+1\right) y^{\prime \prime}-2 x y^{\prime}+2 y=6\lef2 answers -
\( \begin{array}{c}f(x, y)=x^{7} y^{8}+8 x^{5} y \\ f_{x x}(x, y)=42 x^{5} y^{4}+448 x^{6} y \\ f_{x y}(x, y)=28 x^{6} y^{3}+64 x^{7} \\ f_{y x}(x, y)=28 x^{6} y^{3}+64 x^{7} \\ f_{y y}(x, y)=12 x^{7}2 answers -
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La siguienle representa el volumen de un solido. \[ \pi \int_{2}^{4} y^{4} d y \] Dibuge la grafica uilizando un graficador en linea y descrba el soblido. Puede utilizar el siguente colace. http://Www2 answers -
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The sum of iterated integrals \[ \int_{-2}^{-1} \int_{-\sqrt{y+2}}^{\sqrt{y+2}} f(x, y) d x d y+\int_{-1}^{2} \int_{y}^{\sqrt{y+2}} f(x, y) d x d y \] is equal: Select one: а. \( \int_{-2}^{2} \int_{2 answers -
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a) \( \int x^{3} \sqrt{x^{2}+1} d x \) b) \( \int \frac{1}{\theta^{2}} \sin \frac{1}{\theta} \cos \frac{1}{\theta} d \theta \) c) \( \int \frac{d x}{x^{2} \tan ^{-1} x+\tan ^{-1} x} \)2 answers -
1. Dada la siguiente matriz \( 3 \times 3 \) calcule los cofactores de la primera columna \( \left(c_{11}, c_{21}\right. \) y \( \left.c_{31}\right) \) mostrando los pasos intermedios. \[ \left(\begin2 answers -
2. Calcule el valor de \( x \) para que el determinante de la matriz siguiente sea igual a cero. \[ \left(\begin{array}{ccc} x & 2 & -4 \\ -1 & -8 & x \\ 7 & -3 & 5 \end{array}\right)=0 \] Sol. \( x_{2 answers -
3. Resuelva el siguiente sistema de ecuaciones utilizando la regla de Kramer: \[ \begin{array}{l} 6 x-8 y+16 z=22 \\ -10 x-12 y+7 z=-12 \\ -x+8 z=10 \end{array} \] Sol. \( x=\frac{190}{169} ; y=\frac{2 answers -
1. Dada la siguiente matriz \( 3 \times 3 \) calcule los cofactores de la primera columna \( \left(c_{11}, c_{21}\right. \) y \( \left.c_{31}\right) \) mostrando los pasos intermedios. \[ \left(\begin2 answers -
2. Calcule el valor de \( x \) para que el determinante de la matriz siguiente sea igual a cero. \[ \left(\begin{array}{ccc} x & 2 & 4 \\ -1 & -8 & x \\ 7 & -3 & 5 \end{array}\right)=0 \] Sol. \( x_{12 answers -
3. Resuelva el siguiente sistema de ecuaciones utilizando la regla de Kramer: \[ \begin{array}{c} 6 x-8 y+16 z=22 \\ -10 x-12 y+7 z=-12 \\ -x+8 z=10 \end{array} \] Sol. \( x=\frac{190}{169} ; y=\frac{2 answers -
\[ f(x)=-6 \log _{3} x-5 x^{3}+\sqrt[3]{x} \] \[ f^{\prime}(x)= \] \[ \begin{array}{l} y=3+2 \ln x-\frac{6}{x^{-5}} \\ \frac{d y}{d x}= \end{array} \] c) \( g(x)=-6 x^{0.4}-3 \cdot 7^{x}+3 x^{2} \) \[2 answers -
Hello can you solve, problems, 18, 20, and 22. please and thank you.
17. \( y=x^{2}, y=2 x ; \) about the \( y \)-axis 18. \( y=6-x^{2}, y=2 ; \) about the \( x \)-axis 19. \( y=x^{3}, y=\sqrt{x} \); about the \( x \)-axis 20. \( x=2-y^{2}, x=y^{4} ; \) about the \( y2 answers