The function f(t) = 40 In t gives the size of a population of bacteria cells (in #cells) on day t of a lab experiment, for t 2 1. a. Find f' (t), then use f' (t) to find f'(5). b. Explain what the value of f'(5) represents (IN A SENTENCE!) with the appropriate units. Find the value of ," f'(t)dt C. r10 d. Explain what the value of f'(t)dt represents (IN A SENTENCE!) with the appropriate units.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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The function f (t) = 40 In t gives the size of a population of bacteria cells (in #cells) on day t of a lab
experiment, for t 2 1.
a.
Find f'(t), then use f'(t) to find f'(5).
b. Explain what the value of f'(5) represents (IN A SENTENCE!) with the appropriate units.
Find the value of , f'(t)dt
C.
r10
d. Explain what the value of f'(t)dt represents (IN A SENTENCE!) with the appropriate units.
Transcribed Image Text:The function f (t) = 40 In t gives the size of a population of bacteria cells (in #cells) on day t of a lab experiment, for t 2 1. a. Find f'(t), then use f'(t) to find f'(5). b. Explain what the value of f'(5) represents (IN A SENTENCE!) with the appropriate units. Find the value of , f'(t)dt C. r10 d. Explain what the value of f'(t)dt represents (IN A SENTENCE!) with the appropriate units.
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