Calculus Archive: Questions from November 25, 2022
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NEED ASAP
\( \int_{1}^{e} \int_{0}^{1 / 2} \int_{0}^{\sqrt{1-x^{2}}} \frac{d y d x d z}{1-x^{2}}=\frac{\pi}{6}(e-1) \) \( \int_{0}^{\pi / 4} \int_{z}^{\pi / 2} \int_{0}^{y} \frac{y \cos y d x d y d z}{x^{2}+y^{2 answers -
(1 point) Find \( y^{\prime} \) by implicit differentiation. Match the equations defining \( y \) implicitly with the letters labeling the expressions for \( y \) 1. \( 4 x \sin y+6 \cos 2 y=6 \cos y2 answers -
Evaluate the triple integral \( \iiint_{Q} f(x, y, z) d V \). \[ \begin{array}{l} f(x, y, z)=5 x+9 y-6 z, Q=\{(x, y, z) \mid 0 \leq x \leq 8,-4 \leq y \leq 4,0 \leq z \leq 2\} \\ \iiint_{Q} f(x, y, z)2 answers -
Evaluate the triple integral \( \iiint_{Q} f(x, y, z) d V \) \[ \begin{array}{l} f(x, y, z)=9 x+8 y-4 z, Q=\{(x, y, z) \mid 1 \leq x \leq 5,-4 \leq y \leq 4,0 \leq z \leq 9\} \\ \iiint_{Q} f(x, y, z)2 answers -
(1 point) Find \( y^{\prime} \) by implicit differentiation. Match the equations defining \( y \) implicitly with the letters labeling the expressions for \( y^{\prime} \). 1. \( 7 x \sin y+5 \sin 2 y2 answers -
(1 point) Find \( y^{\prime} \) by implicit differentiation. Match the equations defining \( y \) implicitly with the letters labeling the expressions for \( y^{\prime} \). 1. \( 7 x \sin y+5 \sin 2 y2 answers -
Let \[ f(x, y, z)=x \sin (y+z)+y z \] Let \[ f(x, y, z)=x \sin (y+z)+y z \] Find \( f_{x}(x, y, z), \quad f_{y}(x, y, z) \) and \( f_{z}(x, y, z) \)2 answers -
Using the following properties of a twice-differentiable function \( y=f(x) \), select a possible graph of \( f \).2 answers -
2 answers
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Evalue las siguientes integrales: 1. \( \int \frac{d x}{x^{2} \sqrt{9-x^{2}}} \) 2. \( \int \frac{\sqrt{x^{2}-3}}{x} d x \) 3. \( \int_{0}^{3} \frac{x^{3}}{\sqrt{x^{2}+9}} d x \) 4. \( \int \frac{d x}2 answers -
Evaluate the triple integral \( \iiint_{Q} f(x, y, z) d V \). \[ f(x, y, z)=4 x+2 y-2 z, Q=\{(x, y, z) \mid 1 \leq x \leq 9,-6 \leq y \leq 6,1 \leq z \leq 2\} \] \[ \iiint_{Q} f(x, y, z) d V= \]2 answers -
2 answers
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\[ \begin{array}{l} F_{1}(x, y)=x \mathbf{i}+\mathbf{y j} ; \quad \mathbf{F}_{2}(\mathbf{x}, \mathbf{y})=-\mathbf{y} \mathbf{i}+\mathbf{x} \mathbf{j} \\ F_{3}(x, y)=\frac{1}{\sqrt{x^{2}+y^{2}}}(x \mat2 answers -
Una integral curvilinea, tambien Ilamada integral de linea, es una integral sobre una curva \( C \) en vez de un intervalo \( [a, b] \). las curvas que vamos a considerar son suaves, esto es tienen de2 answers -
2 answers
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\( z=e^{x} \sin (y)+e^{y} \cos (x) \). Find \( \frac{\partial^{2} z}{\partial x^{2}}+\frac{\partial^{2} z}{\partial y^{2}} \)2 answers -
Let \( z=e^{x} \sin (y)+e^{y} \cos (x) \) Find \( \frac{\partial^{2} z}{\partial x^{2}}+\frac{\partial^{2} z}{\partial y^{2}} \)2 answers -
Let \( \left(32 e^{x} \sin (y)+e^{y} \cos (x)\right. \). Find \( \frac{\partial^{2} z}{\partial r^{2}}+\frac{\partial^{2} z}{\partial y^{2}} \).2 answers -
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\( z=e^{x} \sin (y)+e^{y} \cos (x) \). Find \( \frac{\partial^{2} z}{\partial x^{2}}+\frac{\partial^{2} z}{\partial y^{2}} \)2 answers -
Let \( z=e^{x} \sin (y)+e^{y} \cos (x) \). Find \( \frac{\partial^{2} z}{\partial x^{2}}+\frac{\partial^{2} z}{\partial y^{2}} \).2 answers