The blue whale feeds on krill, a small shrimp-like animal of length 2 to 5 cm. Suppose that the density of krill (the number per cubic meter) is given by p(x) = 0.70xe 0.0001x where x is the distance (in meters) from the Antarctic coast. The distribution in this problem is horizontal rather than vertical, but this does not change the fact that p(x) dx gives the total number of krill from distance a to distance b. Suppose that the blue whale acts as a strainer with a cross-sectional area of 1 square meter. (a) Find the total number of krill the whale can catch in a run from the coast of Antarctica to 1500 m off the coast.

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