Exam 2 Solutions - Math 116 Second Midterm March 23, 2015...

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Math 116 / Exam 2 (March 23, 2015)page 21. [16 points]Carla and Bobby run a race after spinning in circles for a good amount of timeto make themselves dizzy. They start at the origin in thexy-plane and they race to the liney= 5. Assume the units ofxandyare meters.Bobby’s position in thexy-planetseconds after the races starts is(-p3tcost,1p3tsint)and Carla’s position in thexy-planetseconds after the race starts is(tsint,-tcost).a. [4 points] Write an integral that gives the distance that Carla travels during the first twoseconds of the race. Do not evaluate your integral.

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