Calculus Archive: Questions from May 19, 2023
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Find \( \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y} \) and \( \frac{\partial \mathrm{f}}{\partial \mathrm{z}} \) for the following functions. (i) \( \quad f(x, y, z)=x^{2}-x y^{2}+x^{2 answers -
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Find the differential of each function. (a) \( y=x^{2} \sin 8 x \) \[ d y=\left[2 x \sin (8 x)+8 x^{2} \cos (8 x)\right] d x \] (b) \( y=\sqrt{2+t^{2}} \) \[ d y=\frac{t}{2+t^{2}} d t \]2 answers -
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the region between the curve , and the x-axis is rotated about the x-axis to generate a solid. Determine your volume
\( f(x)=x^{2}+1,-2 \leq x \leq 2 \) La región entre la cunva \( f(x)=x^{2}+1,-2 \leq x \leq 2 \), y el eje \( x \) se hace girar alrededor del eje \( x \) para generar un sólido. Determinar su vol2 answers -
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Encuentra la transformada de Laplace F(s)=L{f(t)} de la función f(t)=(8−t)(u(t−5)−u(t−8)), para s≠0.2 answers
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