advertisement

Math 1100 Homework 4 6 September, 2013 Name: 1. (5 points) If f (x) = 8x − x2 , compute f 0 (x). 2. (5 points) If f (x) = 8x − x2 , compute f 0 (3). 3. (5 points) Find the equation of the line tangent to the graph of f (x) = 8x − x2 at the point (3, 15). 4. (5 points) Suppose the height of a ball in feet after t seconds is given by h(t) = 8x − x2 . What is the velocity of the ball after 3 seconds? 1 5. (5 points) Suppose the profit of a paint company is given by P (x) = 8x − x2 where x is the number of gallons of paint sold2 . What is the marginal profit if three gallons of paint are sold? 1 If the poor physics in this problem bothers you, imagine you are throwing balls on a planet with gravity of earth. 2 If your business has this profit function, you should consider finding a new occupation. 1 16 the