8. (10 pts) Find the exact area under half of one arch of the sine curve, which is given by 2 sin(x) dx 9. (15 pts) 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)? 10. (25 pts) Refer to the graph of g in the figure to evaluate the integrals: y = g(x) 3 2 5 6 8 -1+ a. Jog(x)dx b. So g(x) dx c. fg(x)dx d. So g(x)dx e. 15 g(x) dx