- #1
brandy
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Homework Statement
z=1-x^2-2y^2
find volume under curve
bounded by the xy plane.
is the answer sheet wrong? (see below)
why am i struggling so much with this?! how do i do it?
Homework Equations
according to other answer sheet, it is pi/sqrt 2
The Attempt at a Solution
i did this, its bound by z=0 and it should be the same in all the upper quadrants so i tried too work out one quadrant and went from there.
4*integral(0 to 0.25) (integral(0 to 1)(1-x^2-2y^2) dx)dy =0.625
although I am wondering if it should be
4*integral(0 to 1) (integral(0 to 0.25sqrt(1-x^2)(1-x^2-2y^2) dy)dx =0.564504