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Write an iterated triple integral in the order dz dy dx for the volume of the region enclosed by the paraboloids z=32-x²
Posted: Wed May 04, 2022 10:54 am
by answerhappygod
- Write An Iterated Triple Integral In The Order Dz Dy Dx For The Volume Of The Region Enclosed By The Paraboloids Z 32 X 1 (343.89 KiB) Viewed 25 times
Write an iterated triple integral in the order dz dy dx for the volume of the region enclosed by the paraboloids z=32-x²-²2² and z=x² + y²2². Hint: Graph both in GeoGebra. The projection onto xy plane will be a circle of radius 4 with equation x^2 + y^2 = 16 dz dy dx dz dy dx dz dy dx dz dy dx ܐ.ܐx-32 ܐx-32ܢ ܨܠܵܐ ܐ+ܐ ܐx-32 ܐܙ ܐx-16 ܐx-32ܢ ܐ+ܐ ܐx-32 ܐ.ܐx-16 ܐx-16 ܐ ܐܕ ܝ22-116 ܐ+x2 ܐx-16 4- ܐ.ܐx-32 ܐx-416 ܐܐܐܐܤ ܐܢ ܐ+2 ܐx-16} 4 [ [ 16-323