The number of degrees in dentistry (D.D.S. or D.M.D.) conferred to females in the United States has

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The number of degrees in dentistry (D.D.S. or D.M.D.) conferred to females in the United States has been increasing steadily in recent decades. Based on data from the National Center for Education Statistics, the rate of change of the number of dentistry degrees can be approximated by the function D′(t) = 56.486e0.03537t, where t is the number of years since 2000.

(a) Find D(t), given that 1695 degrees in dentistry were conferred to females in 2001.
(b) Use the formula from part (a) to project the number of degrees in dentistry that will be conferred to females in 2025.

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