(a) Find a vector parametric equation for the ellipse that lies on the plane 3y - 3x + z = −9 and inside the cylinder x² + y² = 49. r(u, v) = for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2m. (b) đẢ=ổu xỂ = (c) d.A = ||dA|| = ||☎„ × Ťv|| = (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 3y - 3x + z = −9 and inside the cylinder x² + y² = 49.
r(u, v) = for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2m.
(b) đẢ=ổu xỂ =
(c) d.A = ||dA|| = ||☎„ × Ťv||
=
(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 3y - 3x + z = −9 and inside the cylinder x² + y² = 49. r(u, v) = for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2m. (b) đẢ=ổu xỂ = (c) d.A = ||dA|| = ||☎„ × Ťv|| = (d) Set up and evaluate a double integral for the surface area of the ellipse. Surface area =
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