The surface of a paraboloid results from rotating a parabola about its axis. the parametric form is s(u, v) = (v cos(u), v sin(u), bv^2). How does increasing the value of b affect its shape? Decreasing b?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 27E
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The surface of a paraboloid results from rotating a parabola about its axis. the parametric form is s(u, v) = (v cos(u), v sin(u), bv^2). How does increasing the value of b affect its shape? Decreasing b?

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