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Example 6. The daily caloric need of a mammal, C, is proportional to its body weight, W, raised to the 0.75 power. Suppose that a 150 pound human requires 1800 calories per day. (a) Write a formula for C(W). (b) Which animal requires more calories per pound: a mouse or an elephant?

Example 6. The daily caloric need of a mammal, C, is proportional to its body weight, W, raised to the 0.75 power. Suppose that a 150 pound human requires 1800 calories per day. (a) Write a formula for C(W). (b) Which animal requires more calories per pound: a mouse or an elephant?

Calculus: Early Transcendentals
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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Definition 6 (Power and polynomial functions). • A power function is a function of the form Q(x) = kx² for some constants k and p. • A polynomial function is a function of the form p(x) = anx" + an-1x²-¹ +...+ a₁x + a where n is a nonnegative integer called the degree of p(x). Example 6. The daily caloric need of a mammal, C, is proportional to its body weight, W, raised to the 0.75 power. Suppose that a 150 pound human requires 1800 calories per day. (a) Write a formula for C(W). (b) Which animal requires more calories per pound: a mouse or an elephant?
Transcribed Image Text:Definition 6 (Power and polynomial functions). • A power function is a function of the form Q(x) = kx² for some constants k and p. • A polynomial function is a function of the form p(x) = anx" + an-1x²-¹ +...+ a₁x + a where n is a nonnegative integer called the degree of p(x). Example 6. The daily caloric need of a mammal, C, is proportional to its body weight, W, raised to the 0.75 power. Suppose that a 150 pound human requires 1800 calories per day. (a) Write a formula for C(W). (b) Which animal requires more calories per pound: a mouse or an elephant?
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