Pawesuppressl Lorek, University of Ottawa, MAT 1330D, Winter 2009Assignment 3, due April 1, 17:30 in classStudent NameStudent NumberProblem 1:[6 points] Find the integralF(t) of the functionf(t) = 6t4=3√t-6 +1t2.Find the antiderivative off(t) that satisfiesF(1) =265.Problem 2:[7 points] Car starts (att= 0) at Ottawa, it’s initial velocity is 9kmh(itabruptly starts with this speed). Accelleration of the car is not constant, it is a followingfunction of time:a(t) = 2t-6kmh2. The travel time is 8 hours.a) [2 points] What is the speed after 1 hour?b) [2 points] Does the car stop anywhere during the trip?
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