Other Math Archive: Questions from April 17, 2023
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Express the integral \( \iiint_{E} f(x, y, z) d V \) as an iterated integral in six different ways, where \( \mathrm{E} \) is the solid bounded by \( z=0, z=8 y \) and \( x^{2}=25-y \). 1. \( \int_{a}2 answers -
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solve using undetermined coefficients
\[ y^{\prime \prime}+4 y=g(x) \] where \[ \begin{array}{l} g(x)=\left\{\begin{array}{ll} \sin x, & 0 \leq x \leq \frac{\pi}{2} \\ 0, & x>\frac{\pi}{2} \end{array}\right. \\ y(0)=1 \\ y^{\prime}(0)=2 \2 answers -
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