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Continuing Education Enrollment The registrar of a certain university estimates

that the total student enrollment in the Continuing Education division will be given by


N(t)= (-25,000/square root of 1+0.1t) +27,000


where N(t) denotes the number of students enrolled in the division t years from now.

(a)Find an expression for N'(t).


N'(t)=



(b) How fast will the student enrolment be increasing 1 year from now? (Round your answer to the nearest integer)


(C) How fast will it be increasing 6 years from now? (Round your answer to the nearest integer).

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