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If a parametric surface given by r₁(u, v) = f(u, v)i + g(u, v)j + h(u, v)k and −4

If a parametric surface given by r₁(u, v) = f(u, v)i + g(u, v)j + h(u, v)k and −4

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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Question
If a parametric surface given by r₁(u, v) = f(u, v)i + g(u, v)j + h(u, v)k and -4 ≤ u ≤ 4,-2 ≤ v ≤ 2, has surface area equal to 8, what is the surface area of the parametric surface given by r2(u, v) = 5r₁(u, v) with −4 ≤ u ≤ 4, −2 ≤ v ≤ 2? 27
Transcribed Image Text:If a parametric surface given by r₁(u, v) = f(u, v)i + g(u, v)j + h(u, v)k and -4 ≤ u ≤ 4,-2 ≤ v ≤ 2, has surface area equal to 8, what is the surface area of the parametric surface given by r2(u, v) = 5r₁(u, v) with −4 ≤ u ≤ 4, −2 ≤ v ≤ 2? 27
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