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MATH SOLVE
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Find the volume of the solid that lies under the hyperbolic paraboloid z = 4 + x 2 − y 2 and and abo...
5 months ago
Q:
Find the volume of the solid that lies under the hyperbolic paraboloid z = 4 + x 2 − y 2 and and above the square r = [−1, 1] × [0, 2].
Accepted Solution
A:
[tex]\displaystyle\int_{x=-1}^{x=1}\int_{y=0}^{y=2}(4+x^2-y^2)\,\mathrm dy\,\mathrm dx=12[/tex]