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zepelin [54]
3 years ago
14

Integrate f(x,y,z)=20xz over the region in the first octant (x,y,z≥0) above the parabolic cylinder z=y2 and below the paraboloid

z=8−2x2−y2.

Mathematics
2 answers:
vodomira [7]3 years ago
4 0
\displaystyle\iiint_Vf(x,y,z)\,\mathrm dV=20\int_{x=0}^{x=2}\int_{y=0}^{y=2}\int_{z=y^2}^{z=8-2x^2-y^2} xz\,\mathrm dz\,\mathrm dy\,\mathrm dx=\dfrac{1280}3
Tresset [83]3 years ago
3 0

Answer:

Check attached document for step by step answers...

Step-by-step explanation:

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