Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² + y² = 81, 0 ≤ x ≤ 1, and a hemispheric cap defined by x² + y² + (z − 1)² = 81, z ≥ 1. For the vector field F = (zx + z²y + 7y, z³yx + 4x, z²x²), compute √√(▼ × F). dS any way you like. MVF) dS=
Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² + y² = 81, 0 ≤ x ≤ 1, and a hemispheric cap defined by x² + y² + (z − 1)² = 81, z ≥ 1. For the vector field F = (zx + z²y + 7y, z³yx + 4x, z²x²), compute √√(▼ × F). dS any way you like. MVF) dS=
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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