8. Let S be the surface parametrized by (01,02) ((2+ cos 01) cos 02, (2+ cos 0₁) sin 02, sin 0₁), with 00₁ <2π, 0 ≤₂ <2π. = (a) Sketch S. What kind of surface is this? (b) Suppose S is covered in frosting, and the density of the frosting is described by the function f(x, y, z) = 1 + z. Compute fas.

8. Let S be the surface parametrized by (01,02) ((2+ cos 01) cos 02, (2+ cos 0₁) sin 02, sin 0₁), with 00₁ <2π, 0 ≤₂ <2π. = (a) Sketch S. What kind of surface is this? (b) Suppose S is covered in frosting, and the density of the frosting is described by the function f(x, y, z) = 1 + z. Compute fas.

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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