Homework 17 Solution - Parametric Equations, Tangent Lines,...

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Parametric Equations, Tangent Lines, & Arc LengthSUGGESTED REFERENCE MATERIAL:As you work through the problems listed below, you should reference Chapter 10.1 of the rec-ommended textbook (or the equivalent chapter in your alternative textbook/online resource)and your lecture notes.EXPECTED SKILLS:Be able to sketch a parametric curve by eliminating the parameter, and indicate theorientation of the curve.Given a curve and an orientation, know how to find parametric equations that generatethe curve.Without eliminating the parameter, be able to finddydxandd2ydx2at a given point on aparametric curve.Be able to find the arc length of a smooth curve in the plane described parametrically.PRACTICE PROBLEMS:For problems 1-5, sketch the curve by eliminating the parameter. Indicate thedirection of increasingt.1.x= 2t+ 3y= 3t-40t3y=32x-172from (3,-4) to (9,5)1
2.x= 2 costy= 3 sintπt2πx24+y29

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