The tide removes the sand from a beach at a rate modeled by the function R, given by . A pumping station adds sand to the beach at a rate modeled by the function S, given by .
Both R(t) and S(t) have units of cubic yards per hour and t is measured in hours for . At time , the beach contains 2500 cubic yards of sand.
How much sand will the tide remove from the beach during this 6 hour period. Indicate units of measure. Write an expression for the total number of cubic yards of sand on the beach at time t.
Any help is appreciated, thanks.