Without using a graphing utility, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t) lies on the surface with equation x2 + y2 − z2 = 0 and sketch the curve.
Without using a graphing utility, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t) lies on the surface with equation x2 + y2 − z2 = 0 and sketch the curve.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 45CT
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Without using a graphing utility, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t) lies on the surface with equation x2 + y2 − z2 = 0 and sketch the curve.
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