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 formp(x) = anx" + an-1x²-¹ +...+ a₁x + awhere 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 the0.75 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?

Answered: Example 6. The daily caloric need of a…

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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Kleiber's Law states that the metabolic needs (such as calorie requirements) of a mammal are proportional to its body weight raised to the 0.75 power.¹ Surprisingly, the daily diets of mammals conform to this relation well. Assuming Kleiber's Law holds, answer the following questions. (a) Write a formula for C, daily calorie consumption, as a function of body weight, W. NOTE: Use k for the constant of proportionality. C(W) = (b) If a human weighing 150 pounds needs to consume 1800 calories a day, estimate the daily calorie requirement of a horse weighing 740 lbs and of a rabbit weighing 11 lbs. NOTE: Round your answers to the nearest calorie. Daily calorie requirement of a horse = Daily calorie requirement of a rabbit = calories Choose one calories (c) On a per-pound basis, which animal requires more calories: a mouse or an elephant? ¹S. Strogatz. "Math and the City." The New York Times. May 20, 2009. Kleiber originally
17) Write the exponential form: log, 37 = 2 (a) 37' = b %3D (b) 2 = 37 (c) b = 10 (l) h? = 37 (c) Nonc of these
(a) Find the value of Q when K = 81 and L = 16.(b) What happens to the value of Q if we double both the labour and thecapital? (Call the new value Q˜ and write it in terms of the original one).(c) Find an expression for ln Q in terms of ln K and ln L.
i have been stuck on this for a while and i am stumped may i have some help please? Consider a drug that is taken in 50 mg doses daily. Suppose that the first dose is taken when t=0 and that t is measured in hours. A) If the half-life of the drug is 5.5 hours, what fraction of the drug remains in the patient after 24 hours? B) Write a general expression for the amount of the drug in the patient immediately after taking the nth dose of the drug. C ) Write a general expression for the amount of the drug in the patient immediately before taking the nnth dose of the drug (for this we only consider n>1). D) What is the long-term minimum amount of drug in the patient?
Calculus Question
2. A population of deer is increasing at a rate of 5% a year. At t = 0 years, there are 98 deer in the population. (a) Using the information above, write a formula for the deer's population P = f(t). (b) Using your formula from (a), determine the approximate number of deer after 5 years have passed.
how do we type in ln2/ln(1.18) in our calculator? My hw suggests that the only correct answer is 4.19 but i can notcome up with the answer no matter how many other different formulas i put in my calculator
Sound levels are measured in decibels using the function B=10(log I +12) where ß is the sound level in decibels (dB) and I is the sound intensity measured in watts per meter squared (W/m²). Wwhat is the sound level in decibels if the intensity is 0.00012 w/m?? (A) -29.2 (B) 10.8 (C) 35.2 (D) 80.8 O A O B O D

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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?