(a) _0¹⁰90,000e^0.068t 45,000e^0.068t dt = _0¹⁰45,000e^0.068t dt

(b) Apprximately 644,000

(b) The total cost of the program for the ten-year period beginning in 1996 would be 100 644,000 = $64,400,000 more for private colleges than for public colleges.