The Technolozic Corporation has determined that its marginal cost function is given by C'(t) = te-0.15t where t is time in years and C'(t) is in millions of dollars per year. Assuming that C(0) = 2, determine C(t).

The Technolozic Corporation has determined that its marginal cost function is given by C'(t) = te-0.15t where t is time in years and C'(t) is in millions of dollars per year. Assuming that C(0) = 2, determine C(t).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...

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Question

(c) The Technolozic Corporation has determined that its marginal cost function is given by
C'(t) = te-0.15t
where t is time in years and C" (t) is in millions of dollars per year.
Assuming that C(0) = 2, determine C(t).

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