Grass clippings are placed in a bin, where they decompose. For 0 s t s 30, the amount of grass clippings remaining in the bin is modeled by AU) = 668701931)r , where AG) is measured in pounds and r is measured in days. (a) Find the average rate of change of AG) over the interval 0 5 r S 30. Indicate units of measure. (b) Find the value of A'(15). Using correct units, interpret the meaning of the value in the context of the problem. (c) Find the time t for which the amount of grass clippings in the bin is equal to the average amount of grass clippings in the bin over the interval 0 5 t g 30. (d) For I > 30, 1.0), the linear approximation to A at r = 30, is a better model for the amount of grass clippings remaining in the bin. Use [(3) to predict the time at which there will be 0.5 pound of grass clippings remaining in the bin. Show the work that leads to your