(a) Find a vector parametric equation for the ellipse that lies on the plane x +2y+z=3 and inside the cylinder x² + y² = 16. F(u, v) = ¯ for 0 ≤ u ≤ 4 and 0 ≤ v ≤ 2m. (b) dA = F₁ × Tv = (c) dA= = ||ďA|| = ||Tu × Tv|| -0 Surface area = = (d) Set up and evaluate a double integral for the surface area of the ellipse.
(a) Find a vector parametric equation for the ellipse that lies on the plane x +2y+z=3 and inside the cylinder x² + y² = 16. F(u, v) = ¯ for 0 ≤ u ≤ 4 and 0 ≤ v ≤ 2m. (b) dA = F₁ × Tv = (c) dA= = ||ďA|| = ||Tu × Tv|| -0 Surface area = = (d) Set up and evaluate a double integral for the surface area of the ellipse.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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