) Find a vector parametric equation for the ellipse that lies on the plane z - (4x + 3y) = -2 and inside the cylinder x2 + y² = 25. r(u, v) = →> (b) dA= F x T₂ = (c) dA= |dA|| = ||₁ × 7₂ || = for 0u5 and 0 << 2TT. (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
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 20E
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) Find a vector parametric equation for the ellipse that lies on the plane z - (4x + 3y) = -2 and inside the cylinder x² + y² = 25.
r(u, v) =
→>
(b) dA= 7₁ x 7 =
(c) dA= |dA|| = ||₁ × 7₂ || =
for 0u5 and 0 ≤ v≤ 2π.
(d) Set up and evaluate a double integral for the surface area of the ellipse.
Surface area =
Transcribed Image Text:) Find a vector parametric equation for the ellipse that lies on the plane z - (4x + 3y) = -2 and inside the cylinder x² + y² = 25. r(u, v) = →> (b) dA= 7₁ x 7 = (c) dA= |dA|| = ||₁ × 7₂ || = for 0u5 and 0 ≤ v≤ 2π. (d) Set up and evaluate a double integral for the surface area of the ellipse. Surface area =
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