Empirical evidence suggests that the volume V (measured in liters) of a kangaroo's pouch depends on its body weight W (measured in kilograms) according to the formula dV = 0.2 dW A reasonable model for the weight of a kangaroo depending on its height H (measured in m) is W = 20 H? Suppose that over the course of 4 years, a kangaroo has grown at a constant rate from 1 m to 2 m. Determine the rate of change of the volume of its pouch with respect to time (measured in liters per year) when its height was 1.3 m. Note: You may round your answer. Please specify at least 3 digits behind the decimal place. So your solution should be accurate up to +0.001. Answer: liters/year

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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Empirical evidence suggests that the volume V (measured in liters) of a kangaroo's pouch depends on its body weight W (measured in kilograms) according to the
formula
dV
0.2
dW
A'reasonable model for the weight of a kangaroo depending on its height H (measured in m) is
W
20 H?
Suppose that over the course of 4 years, a kangaroo has grown at a constant rate from 1 m to 2 m.
Determine the rate of change of the volume of its pouch with respect to time (measured in liters per year) when its height was 1.3 m.
Note: You may round your answer. Please specify at least 3 digits behind the decimal place. So your solution should be accurate up to ±0.001.
Answer:
liters/year
Transcribed Image Text:Empirical evidence suggests that the volume V (measured in liters) of a kangaroo's pouch depends on its body weight W (measured in kilograms) according to the formula dV 0.2 dW A'reasonable model for the weight of a kangaroo depending on its height H (measured in m) is W 20 H? Suppose that over the course of 4 years, a kangaroo has grown at a constant rate from 1 m to 2 m. Determine the rate of change of the volume of its pouch with respect to time (measured in liters per year) when its height was 1.3 m. Note: You may round your answer. Please specify at least 3 digits behind the decimal place. So your solution should be accurate up to ±0.001. Answer: liters/year
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