[but 1' IIIIDS 10. Mr. Wilson is standing near the top of a ladder 24 feet long which is leaning against a vertical wall of his house. Dennis, the little boy next door, ties a rope from his tricycle to the bottom of the ladder and starts to pull the foot of the ladder away ow the house wall. The bottom end of the ladder begins to slide away from the wall at the rate ofl foot per second. (a) How fast is the top of the ladder sliding down the wall when the foot of the ladder is 8 feet 'om the wall? (b) How fast is the top of the ladder sliding down the wall when the top of the ladder is 16 feet from the ground? 1 l. The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model: C(q) = 5,000 + 200q2 where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost (in dollars) of this reduction. If a rm is cunently reducing its emissions by 7 pounds each day, what is the marginal cost of reducing emissions even further? a. 82,100 b. $700 0. $1,400 01. $2,800 e. $7,800 12. The graph of the rst derivative f ' of a mction f is given below. (a) On what intervals is f increasing? Explain. (b) At what values of 1: does fhave a local maximum and local minimum? Explain. (o) On what intervals is f concave up? concave down? Explain I ((1) Where are the coordinates of the inflection points off? Explain