Other Math Archive: Questions from February 02, 2023
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On a separate paper, sketch the following plots: i. \( y=\frac{1}{x} \) ii. \( y=\frac{1}{x^{2}} \) iii. \( y=e^{x} \) iv. \( y=e^{-x} \) v. \( y=\ln x \) vi. \( \quad y=\ln e^{x} \) vii. \( y=(x-3)^{2 answers -
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For each vector field \( \vec{F}(x, y, z) \), compute the curl of \( \vec{F} \) and, if possible, find a function \( f(x, y, z) \) so that \( \vec{F}=\nabla f \). If no such function \( f \) exists, e2 answers -
6. Diagonalize the matrix, if possible. \( \left[\begin{array}{cc}1 & 0 \\ 6 & -1\end{array}\right] \)2 answers