Question
Find the area of the surface.The part of the surface $z=4-2 x^{2}+y$ that lies above the triangle with vertices $(0,0),(1,0)$, and $(1,1)$.
Step 1
We need to find the partial derivatives of this function with respect to $x$ and $y$. The partial derivative of $f$ with respect to $x$ is $f_x = -4x$ and the partial derivative of $f$ with respect to $y$ is $f_y = 1$. Show more…
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