(a) Find a vector parametric equation for the ellipse that lies on the plane 2y = 5x + z = 2 and inside the cylinder x² + y² = 16. F(u, v) = for 0 ≤ u < 4 and 0 ≤ v ≤ 2. (b) dA = 7₁ x 7. = (c) dA = |dA|| = ||7₁ × 7.|| = (d) Set up and evaluate a double integral for the surface area of the ellipse. Surface area =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Find a vector parametric equation for the ellipse that lies on the plane 2y - 5x + z = 2 and inside the cylinder x² + y² = 16.
F(u, v) = for 0 ≤ u≤ 4 and 0 ≤ v ≤ 2.
(b) dA = Tux Tv =
= ||A|| = ||₁|| =
(d) Set up and evaluate a double integral for the surface area of the ellipse.
(c) dA=
Surface area =
Transcribed Image Text:(a) Find a vector parametric equation for the ellipse that lies on the plane 2y - 5x + z = 2 and inside the cylinder x² + y² = 16. F(u, v) = for 0 ≤ u≤ 4 and 0 ≤ v ≤ 2. (b) dA = Tux Tv = = ||A|| = ||₁|| = (d) Set up and evaluate a double integral for the surface area of the ellipse. (c) dA= Surface area =
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