(a) Give a parametrization of the portion of the sphere x² + y² + z² = 9, restricted to the region y ≥ 0. (b) Give a parametrization of the part of the paraboloid z = 10 - 2² - y² that lies inside cylinder x² + y² = 1. (c) Choose a single surface from parts a) or b) and set up (but do not evaluate) an integral which calculates its surface area.

(a) Give a parametrization of the portion of the sphere x² + y² + z² = 9, restricted to the region y ≥ 0. (b) Give a parametrization of the part of the paraboloid z = 10 - 2² - y² that lies inside cylinder x² + y² = 1. (c) Choose a single surface from parts a) or b) and set up (but do not evaluate) an integral which calculates its surface area.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

See similar textbooks