(a) Find a vector parametric equation for the ellipse that lies on the plane x + 3y + z = 5 and inside the cylinder x² + y² = 49. ř (u, v) = ■ for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2π. (b) dA = ₁ × v น (c) dA= ||WA|| = || u xơ (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 x + 3y + z = 5 and inside the cylinder x² + y² = 49. ř (u, v) = ■ for 0 ≤ u ≤ 7 and 0 ≤ v ≤ 2π. (b) dA = ₁ × v น (c) dA= ||WA|| = || u xơ (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...

See similar textbooks