Algebra Archive: Questions from January 28, 2023
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(1 point) Calculate all four second-order partial derivatives of \( f(x, y)=(3 x+5 y) e^{y} \). \[ \begin{array}{l} f_{x x}(x, ? \\ f_{x y}(x, y) \\ f_{y x}(x, 1 \\ f_{y y}(x, y) \end{array} \]2 answers -
Solve for \( x, y \) \& \( z \) \[ \begin{array}{c} 3.0 x+4.5 y-7.5 z=10.5 \\ 4.8 x-3.6 y-2.4 z=1.20 \\ 4.0 x-0.5 y+2.0 z=1.50 \\ x=-0.75, y=1.0 \& z=-0.5 \\ x=0.75, y=1.0 \& z=-0.5 \\ x=0.75, y=-1.02 answers -
2 answers