Hw 10 - Calculus with Parametric Equations - MATH 09C HW 10 PARAMETRIC EQUATIONS PAOLO MANTERO Due to Friday This is the last hw assignment for Math 09C

# Hw 10 - Calculus with Parametric Equations - MATH 09C HW 10...

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MATH 09C – HW 10 - PARAMETRIC EQUATIONS – PAOLO MANTERO Due to Friday 03/14/2014 This is the last hw assignment for Math 09C. Since the material of the last sec- tion is covered only on Wednesday 03/12, all the problems of that section are bonus problems. Thanks for a nice quarter together, and good luck with your finals! Exercise 1.Sketch and identify the curves defined by the parametric equations.Also, iftis interpreted as time and starts fromt= 0, describe how the objectmoves on each curve:(1)x=t+ 2,y=t2.(2) Exercise 2(Similar to Sample Exam 3, Problem 9).A wheel of radius4rollsalong a straight line, say thex-axis. A point on the rim of the wheel will trace outa curve, called acycloid. Assume the point starts at the origin; find parametricequations for the curve (provide work).What is the equation of the tangent line att=/6?Exercise 3.[Bonus Problem, up to 0.3 extra points] A curve is defined by the