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2. A solid G is bounded by the paraboloid z = 4-²-y², the cylinder x² + y² = 4 and the plane z = 5. Evaluate fff(x+y+ 2z) dV.

2. A solid G is bounded by the paraboloid z = 4-²-y², the cylinder x² + y² = 4 and the plane z = 5. Evaluate fff(x+y+ 2z) dV.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. A solid G is bounded by the paraboloid z = 4-²-y², the cylinder x² + y² = 4 and the plane z = 5. Evaluate fff(x+y+ (x+y+2z) dv. G 236T ans: 3 3. Evaluate fff²dV where G is a solid that lies in the first octant bounded by G x² + y² = 32 and z = 3. 81T ans: 16 4. If G is the solid in the first octant bounded by 2x + y + z = 4 and the coordinates planes, evaluate the integral, fff 2x dv. G 16 ans: 3 0 √√4=r² r²+y² S yz dzdydz by changing to cylindrical coordinates. -2 0 0 67 T ans: 12 5. Evaluate
Transcribed Image Text:2. A solid G is bounded by the paraboloid z = 4-²-y², the cylinder x² + y² = 4 and the plane z = 5. Evaluate fff(x+y+ (x+y+2z) dv. G 236T ans: 3 3. Evaluate fff²dV where G is a solid that lies in the first octant bounded by G x² + y² = 32 and z = 3. 81T ans: 16 4. If G is the solid in the first octant bounded by 2x + y + z = 4 and the coordinates planes, evaluate the integral, fff 2x dv. G 16 ans: 3 0 √√4=r² r²+y² S yz dzdydz by changing to cylindrical coordinates. -2 0 0 67 T ans: 12 5. Evaluate
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