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(Please show all work!) For a physics project, students are measuring runners at a race who are training for a race. The function f(t) represents the velocity of one of the runners, measured in ft/sec. The following table gives values of f(t) and f'(t): t f(t) f'(t) 0 8 2 1.5 9 2 10 1 2.5 10.5 3 10.5 4 8.5 -1 5 7.5 -2.5 6 5 3 7 7.5 8 9 11 -1 1. Give an approximation for the integral estimate possible for the integral. f()dt. Please show all work. To get a Pass+, please give the best 2. Give an approximation for the integral f(t)dt. Please show all work. 3. [Reach] Give the exact answer for '(f)dt. Please show all work.