## Related questions with answers

Question

Find the area of the surface given by $z=$ $f(x, y)$ over the region $R$. (Hint: Some of the integrals are simpler in polar coordinates.) \

$f(x, y)=9-x^2$

$R$ : square with vertices $(0,0),(3,0),(0,3),(3,3)$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 6We have:

$f(x,y)=9-x^2$

First, we find the partial derivatives:

$f_x(x,y)=-2x$

$f_y(x,y)=0$

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