(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...
Related questions
Question
please help with this!
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,