A study of American girls ages 4-13 in the 90th90th percentile according to their height found that their height hh (in cm) as a function of their age aa (in years) satisfies the equation h(a) = 6.44a + 81.8.The same study found that their weight W (in g) as a function of their height is given by2.84W (h) = 0.0301h²a. What is a rate of growth in height?Rate of Growth =cm/yrb. Write an expression for the composite function that gives the weight as a function ofage.W (a) =Differentiate this function to find W'(a) using the chain rule.dWdac. What is the rate of change in weight at ages 7 and 11?dW...g/yrdaa=7dWg/yr...daa=11

NOTE: Refresh your page if you can't see any equations. . take derivative

h(a) = 6.44a + 81.8. The same study found that their weight W (in g) as a function of their height is given by W(h) = 0.0301h2.84. %3D a. What is a rate of growth in height? Rate of Growth = cm/yr b. Write an expression for the composite function that gives the weight as a function of age. W(a) = Differentiate this function to find W'(a) using the chain rule. dW da c. What is the rate of change in weight at ages 7 and 11?

h(a) = 6.44a + 81.8. The same study found that their weight W (in g) as a function of their height is given by W(h) = 0.0301h2.84. %3D a. What is a rate of growth in height? Rate of Growth = cm/yr b. Write an expression for the composite function that gives the weight as a function of age. W(a) = Differentiate this function to find W'(a) using the chain rule. dW da c. What is the rate of change in weight at ages 7 and 11?

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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Question

A study of American girls ages 4-13 in the 90th90th percentile according to their height found that their height hh (in cm) as a function of their age aa (in years) satisfies the equation

h(a) = 6.44a + 81.8.
The same study found that their weight W (in g) as a function of their height is given by
2.84
W (h) = 0.0301h²
a. What is a rate of growth in height?
Rate of Growth =
cm/yr
b. Write an expression for the composite function that gives the weight as a function of
age.
W (a) =
Differentiate this function to find W'(a) using the chain rule.
dW
da
c. What is the rate of change in weight at ages 7 and 11?
dW
...
g/yr
da
a=7
dW
g/yr
...
da
a=11

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