Calculus Archive: Questions from July 06, 2023
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in \( \mathbb{R}^{3} \), \( W=\{(x, y, z): x+y+z=0\} \) \[ U=\{(x, y, z): x=0\} \] subspaces are given. What is the \( U \cap W= \) ? A) \( \{(x, y, z): y=-z, x \) is arbitrary \( \} \) B) \( \quad\{(2 answers -
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El +- regla de los signos
Determina el límite. \[ \begin{array}{l} \operatorname{sea}_{x \rightarrow 5} f(x)=4 \sec (x+-4) \pi \end{array} \]2 answers -
Which one of the following integrals reverses the order of integration \( \int_{-3}^{6} \int_{\frac{y^{2}}{3}-2}^{y+4} f(x, y) d x d y \) ? a. \( \int_{-2}^{1} \int_{-\sqrt{3 x+6}}^{x-4} f(x, y) d y d2 answers -
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If \( y(1)=O \) for the following ODE: \[ \left(e^{-2 y}\right) d y / d x=x-2 \] Then the solution is: \[ \begin{array}{l} y=-0.5 \ln \left[2-(x-2)^{2}\right] \\ y=-0.5 \ln [2-(x-2)] \\ y=-0.5 \ln \le2 answers -
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Hallar el área de la región que queda fuera de: \( r=1+\cos \theta \quad y \) dentro de \( r=3 \cos \theta \) a. Dibujar la región utilizar el graficador de funciones Wplotsp. b. Determinar límite2 answers -
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