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) =

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) =
Transcribed Image Text: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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