(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 =
(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 =
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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