curve has the following parametric equations with parameter t. x=2t-1/2t and y=2t+1/2t. Find dy/dx and d²y/dx² in terms of t. And obtain the coordinates of stationary points of the curve and determine the nature of the points.
curve has the following parametric equations with parameter t. x=2t-1/2t and y=2t+1/2t. Find dy/dx and d²y/dx² in terms of t. And obtain the coordinates of stationary points of the curve and determine the nature of the points.
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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A curve has the following parametric equations with parameter t. x=2t-1/2t and y=2t+1/2t. Find dy/dx and d²y/dx² in terms of t. And obtain the coordinates of stationary points of the curve and determine the nature of the points.
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