Sketch and fully describe the surface Sph given, in terms of Cartesian coordinates (x, y, z), by Sph = {(x, y, z) : (x — xo)² + (y — yo)² + (z — zo)² = a²}, where a, xo, yo and zo are constants, and show that it can be parameterized by r(0, ¢) = (xo + a sin cos , yo + a sin sin , zo + a cos), giving the ranges of the parameters and p.

Sketch and fully describe the surface Sph given, in terms of Cartesian coordinates (x, y, z), by Sph = {(x, y, z) : (x — xo)² + (y — yo)² + (z — zo)² = a²}, where a, xo, yo and zo are constants, and show that it can be parameterized by r(0, ¢) = (xo + a sin cos , yo + a sin sin , zo + a cos), giving the ranges of the parameters and p.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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