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(5 points) Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second squared it will take you seconds to stop. During that time you will travel feet. Assuming that it takes you 1 second to react to an emergency before you start braking, at the same initial speed, and the same constant deceleration, you will travel a total of feet, before coming to a stop.(5 points) The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 - 0.01x + 0.000006x (in dollars per yard). Find the increase in cost if the production level is raised from 1500 to 6000 yards. Increase in cost = $(5 points) Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a) sin (x) cos(x) dx = b) sin(x)(cos(x)}' dx =\f(5 points) Find f if f"(x) = 2 + cos(x), f(0) = -10, f(x/2) = 6. f (x) =(5 points) Consider the graph of the function f(x): -2 y = f(x ) 0 2 4 6 8 X Evaluate the following integrals by interpreting them in terms of areas: a ) f ( x) dx = (b) / f (x) dx = c) ( f ( x ) dx = ( f (x) dx =