1. Evaluate the triple integral //L defined by the inequalities 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Give me the answers of these questions

1. Evaluate the triple integral / /.
xy sin (yz) dV; G is the rectangular box
defined by the inequalities 0 <r <T, 0 <y< 1,0 < z <T/6.
2. Evaluate the triple integral / y dV; G is the solid enclosed by the plane
z = y, the xy-plane, and the parabolic cylinder y = 1- x?.
3. Evaluate the triple integral
Tyz dV; G is the solid in the first octant
that is bounded by the parabolic cylinder z = 2 – x? and the plane y = x,
z = 0, y = 0.
4. Use a triple integral to find the volume of the solid bounded by the surface
z = VI and the planes y+ x = 1, z= 0, x = 0.
%3D
%3D
Transcribed Image Text:1. Evaluate the triple integral / /. xy sin (yz) dV; G is the rectangular box defined by the inequalities 0 <r <T, 0 <y< 1,0 < z <T/6. 2. Evaluate the triple integral / y dV; G is the solid enclosed by the plane z = y, the xy-plane, and the parabolic cylinder y = 1- x?. 3. Evaluate the triple integral Tyz dV; G is the solid in the first octant that is bounded by the parabolic cylinder z = 2 – x? and the plane y = x, z = 0, y = 0. 4. Use a triple integral to find the volume of the solid bounded by the surface z = VI and the planes y+ x = 1, z= 0, x = 0. %3D %3D
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