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Math 141 Discussion Week 1 Section 4.4 # 23. The velocity of a car after t seconds is 75 - 3t2 feet per second. (a) How many seconds does it take for the car to come to a stop (velocity = 0)? (b) How far does the car travel while coming to a stop? (c) How many seconds does it take the car to travel half the distance in part (b)? Section 4.5 In problems 13 -33, verify that F(x) is an antiderivative of the integrand f(x) and use Part 2 of the Fundamental Theorem to evaluate the definite integrals. 1 dx , F(x) = In( x ) + 2 Section 4.6 For problems 1 -4, put f(x) = x^ 2 , g(x) = x and verify that Section 4.7 In problems 7-18, sketch the graph of each function and find the area between the graphs of f and g for x in the given interval. 9. f(x) = x^ 2, g(x) = x and Ox=2.1 dx , F X = In( x + 2 X(@/g(x) dx # f(x)dx g(x) dx 1 1