Parameterize a vase formed by rotating the curve z = 6√x – 3, 3 ≤ x ≤ 8, around the z-axis. Use s and t for your parameters x(s, t) = y(s, t) = , and z(s, t) = , with <$< and

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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Parameterize a vase formed by rotating the curve z = 6√√x - 3, 3 ≤ x ≤ 8, around the z-axis. Use s and t for your parameters.
r(s, t) =
y(s, t) =
, and
z(s, t) =
<$<
and
<t<
=
with
Transcribed Image Text:Parameterize a vase formed by rotating the curve z = 6√√x - 3, 3 ≤ x ≤ 8, around the z-axis. Use s and t for your parameters. r(s, t) = y(s, t) = , and z(s, t) = <$< and <t< = with
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