8. A colony of bacteria has a total weight which varies according to w(t) = 10.5e-5t (weight inNewtons, time in hours). Find the average weight of the colony over the interval [1,3] and find avalue c in [1,3] such that w(c) attains this average.

Find the average weight over the interval [1, 3].

Answered: 8. A colony of bacteria has a total…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The growth in length of sculpin is approximated by the von Bertalanffy equation L(t) = 15(1 – e-04), where t is in years and L is in cm. An allometric measurement of sculpin shows that their weight can be approximated by the model W(L) = 0.08L’, where W is in g. a. Create a composite function to give the weight of the sculpin as a function of its age, W(t). W() = b. Differentiate this weight function, W(t) using the chain rule. W'(1) = c. Find its second derivative. W"(1) =
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8. A colony of bacteria has a total weight which varies according to w(t) = 10.5e-5t (weight in Newtons, time in hours). Find the average weight of the colony over the interval [1,3] and find a value c in [1,3] such that w(c) attains this average.