The dentinal formation of molars in mice has been studied by researchers in Copenhagen. They determined that

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The dentinal formation of molars in mice has been studied by researchers in Copenhagen. They determined that the growth curve that best fits dentinal formation for the first molar is M(t) = 1.3386309 - 0.4321173t + 0.0564512t2 -0.0020506t3 + 0.0000315t4 - 0.0000001785t5, 5 ≤ t ≤ 51, where t is the age of the mouse (in days), and M(t) is the cumulative dentin volume (in 10-1 mm3).

(a) Use a graphing calculator to sketch the graph of this function on [5, 51] by [0, 7.5].
(b) Find the time in which the dentin formation is growing most rapidly.

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