Let D be the solid region in the first octant bounded above by the hemisphere 10 – x² – y² and bounded below by the z = 1. We need to find the volume of D using triple integral in Cartesian coordinates. By taking the order dzdxdy, we can represent V as: 9-x² 10-x²-y“ dzdydx 9-x 10-x² –y² dzdydx

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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ZAr O
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Let D be the solid region in the first octant bounded above by the hemisphere
z =
10 – x2 – y2 and bounded below by the z =
1. We need to find the volume
of D using triple integral in Cartesian coordinates. By taking the order dzdxdy, we
can represent V as:
V9-x²
10-x2-y²
9-x2
10-x² –y²
dzdydx
dzdydx
Transcribed Image Text:VewIFI ZAr O VelIFi Let D be the solid region in the first octant bounded above by the hemisphere z = 10 – x2 – y2 and bounded below by the z = 1. We need to find the volume of D using triple integral in Cartesian coordinates. By taking the order dzdxdy, we can represent V as: V9-x² 10-x2-y² 9-x2 10-x² –y² dzdydx dzdydx
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