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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Question

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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