Can you help me solve this problem?

Continuing Education Enrollment The registrar of a certain university estimates that the total student enrollment in the Continuing Education division will be given by 10,090 N r = + 11,009 (:1 \\s 1 + 0.5: where Mt] denotes the number of students enrolled in the division t years from now. Find an expression for N'(f). A + 11,000 N'(t] = ( 0.707106T8i 2 r)- \"I. X How fast will the student enrollment be increasing 3 years from now? [Round your answer to the nearest integer.) 46?5 X students per vr How fast will it be increasing T years from now? (Round your answer to the nearest integer.) 6283 X students per vr