(a) Find a vector parametric equation for the ellipse that lies on the plane z-2y+z= -8 and inside the cylinder z² + y² = 16. F(u, v) = for 0≤u≤4 and 0 ≤ ≤ 2m. (b) dA=7 x 7 = (c) dA = || A|| = || Fux Fu|| =0 (d) Set up and evaluate a double integral for the surface area of the ellipse. Surface area =

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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(a) Find a vector parametric equation for the ellipse that lies on the plane z-2y+z= -8 and inside the cylinder z² + y² = 16.
F(u, v) =
for 0≤u≤4 and 0 ≤ ≤ 2m.
(b) dA=7 x 7 =
(c) dA = || A|| = ||Fux Fe|| =0
(d) Set up and evaluate a double integral for the surface area of the ellipse.
Surface area =
Transcribed Image Text:(a) Find a vector parametric equation for the ellipse that lies on the plane z-2y+z= -8 and inside the cylinder z² + y² = 16. F(u, v) = for 0≤u≤4 and 0 ≤ ≤ 2m. (b) dA=7 x 7 = (c) dA = || A|| = ||Fux Fe|| =0 (d) Set up and evaluate a double integral for the surface area of the ellipse. Surface area =
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