The vector equation r (u, v) = = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π, 0 ≤ u ≤ 1, describes a helicoid (spiral ramp). What is the surface area?

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.4: Vectors And Dot Products
Problem 7ECP
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The vector equation
r (u, v) = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π,
0 ≤ u≤ 1, describes a helicoid (spiral ramp). What is
the surface area?
Transcribed Image Text:The vector equation r (u, v) = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π, 0 ≤ u≤ 1, describes a helicoid (spiral ramp). What is the surface area?
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