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3. A) Evaluate the triple integral xdV, where E is the solid region bounded by the cylinder 4 = y = 3z, x = 0 in the first octant. x² + y², and the planes z = 0,

3. A) Evaluate the triple integral xdV, where E is the solid region bounded by the cylinder 4 = y = 3z, x = 0 in the first octant. x² + y², and the planes z = 0,

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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3. A) Evaluate the triple integral adV, E where E is the solid region bounded by the cylinder 4 = x² + y?, and the planes z = 0, y = 3z, x = 0 in the first octant. B) Use Green's Theorem to evaluate / F-dr, where C is a triangle from (0,0) to (1,0) to (0, 3) to (0,0) and F (r, y) = (ry + y cos y)i – (xy sin y – r cos y)j
Transcribed Image Text:3. A) Evaluate the triple integral adV, E where E is the solid region bounded by the cylinder 4 = x² + y?, and the planes z = 0, y = 3z, x = 0 in the first octant. B) Use Green's Theorem to evaluate / F-dr, where C is a triangle from (0,0) to (1,0) to (0, 3) to (0,0) and F (r, y) = (ry + y cos y)i – (xy sin y – r cos y)j
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