the region in the first octant bounded by the coordinate planes and the surface z= 64 - x2 - y. Hint: first graph it using GeoGebra. Set up using the order dzdydx. Projection onto xy plane, set z=0 in the equation. This will give you y = 64 - x^2. But also remember, you are only considering first octant. After setting up the triple integral, do not calculate by hand - use Wolfraf Alpha the way we did in class. O 131,072 15 O 65,536 9 O 32,768 3 O 8192

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the volume of the indicated region.
the region in the first octant bounded by the coordinate planes and the surface z= 64 - x2 - y.
Hint: first graph it using GeoGebra. Set up using the order dzdydx. Projection onto xy plane, set z=0 in the equation. This will give you y = 64 - x^2. But also remember, you are only
considering first octant. After setting up the triple integral, do not calculate by hand - use Wolfraf Alpha the way we did in class.
O 131,072
15
65,536
9
32,768
3
8192
Transcribed Image Text:Find the volume of the indicated region. the region in the first octant bounded by the coordinate planes and the surface z= 64 - x2 - y. Hint: first graph it using GeoGebra. Set up using the order dzdydx. Projection onto xy plane, set z=0 in the equation. This will give you y = 64 - x^2. But also remember, you are only considering first octant. After setting up the triple integral, do not calculate by hand - use Wolfraf Alpha the way we did in class. O 131,072 15 65,536 9 32,768 3 8192
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