Glucose is added intravenously to the bloodstream at the rat of units per minute, and the body

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Glucose is added intravenously to the bloodstream at the rat of units per minute, and the body removes glucose from the bloodstream at a rate proportional to the amoun present. Assume Q(t) that is the amount of glucose in the bloodstream at time t.

(a) Determine the differential equation describing the rate of change of glucose in the bloodstream with respect to time.

(b) Solve the differential equation from part (a), letting Q = Q0 when t = 0. 

(c) Find the limit of Q(t) as t → ∞.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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