APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 1.9, Problem 21P
To determine
(a)
To write:
A formula for C, daily calorie consumption, as a function of body weight, W.
To determine
(b)
To graph:
The function
To determine
(c)
To estimate:
The daily calorie requirement of a horse weighing 700 lbs and a rabbit weighing 9 lbs.
To determine
(d)
To find:
Whether a mouse or an elephant needs more calories on a pre-pound basis.
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Students have asked these similar questions
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
The amount of domestic waste, W, in millions of metric tons, dumped in landfills dropped from 22.42 in 2001 to 2.17 in 2019 in
England.¹ Find a formula for W as a linear function of year t.
W =
+
The infrastructure needs of a region (for example, the
number of miles of electrical cable, the number of miles
of roads, the number of gas stations) depend on its pop-
ulation. Cities enjoy economies of scale.² For example,
the number of gas stations is proportional to the popu-
lation raised to the power of 0.77.
(a) Write a formula for the number, N, of gas stations
in a city as a function of the population, P, of the
city.
(b) If city A is 10 times bigger than city B, how do
their number of gas stations compare?
(c) Which is expected to have more gas stations per
person, a town of 10,000 people or a city of
500,000 people?
Chapter 1 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 6PCh. 1.1 - Prob. 7PCh. 1.1 - Prob. 8PCh. 1.1 - Prob. 9PCh. 1.1 - Prob. 10P
Ch. 1.1 - Prob. 11PCh. 1.1 - Prob. 12PCh. 1.1 - Prob. 13PCh. 1.1 - Prob. 14PCh. 1.1 - Prob. 15PCh. 1.1 - Prob. 16PCh. 1.1 - Prob. 17PCh. 1.1 - Prob. 18PCh. 1.1 - Prob. 19PCh. 1.1 - Prob. 20PCh. 1.1 - Prob. 21PCh. 1.1 - Prob. 22PCh. 1.1 - Prob. 23PCh. 1.1 - Prob. 24PCh. 1.1 - Prob. 25PCh. 1.1 - Prob. 26PCh. 1.1 - Prob. 27PCh. 1.1 - Prob. 28PCh. 1.1 - Prob. 29PCh. 1.1 - Prob. 30PCh. 1.1 - Prob. 31PCh. 1.1 - Prob. 32PCh. 1.1 - Prob. 33PCh. 1.1 - Prob. 34PCh. 1.1 - Prob. 35PCh. 1.1 - Prob. 36PCh. 1.1 - Prob. 37PCh. 1.1 - Prob. 38PCh. 1.1 - Prob. 39PCh. 1.1 - Prob. 40PCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Prob. 5PCh. 1.2 - Prob. 6PCh. 1.2 - Prob. 7PCh. 1.2 - Prob. 8PCh. 1.2 - Prob. 9PCh. 1.2 - Prob. 10PCh. 1.2 - Prob. 11PCh. 1.2 - Prob. 12PCh. 1.2 - Prob. 13PCh. 1.2 - Prob. 14PCh. 1.2 - Prob. 15PCh. 1.2 - Prob. 16PCh. 1.2 - Prob. 17PCh. 1.2 - Prob. 18PCh. 1.2 - Prob. 19PCh. 1.2 - Prob. 20PCh. 1.2 - Prob. 21PCh. 1.2 - Prob. 22PCh. 1.2 - Prob. 23PCh. 1.2 - Prob. 24PCh. 1.2 - Prob. 25PCh. 1.2 - Prob. 26PCh. 1.2 - Prob. 27PCh. 1.2 - Prob. 28PCh. 1.2 - Prob. 29PCh. 1.2 - Prob. 30PCh. 1.2 - Prob. 31PCh. 1.2 - Prob. 32PCh. 1.2 - Prob. 33PCh. 1.2 - Prob. 34PCh. 1.2 - Prob. 35PCh. 1.2 - Prob. 36PCh. 1.2 - Prob. 37PCh. 1.2 - Prob. 38PCh. 1.2 - Prob. 39PCh. 1.2 - Prob. 40PCh. 1.2 - Prob. 41PCh. 1.2 - Prob. 42PCh. 1.2 - Prob. 43PCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 6PCh. 1.3 - Prob. 7PCh. 1.3 - Prob. 8PCh. 1.3 - Prob. 9PCh. 1.3 - Prob. 10PCh. 1.3 - Prob. 11PCh. 1.3 - Prob. 12PCh. 1.3 - Prob. 13PCh. 1.3 - Prob. 14PCh. 1.3 - Prob. 15PCh. 1.3 - Prob. 16PCh. 1.3 - Prob. 17PCh. 1.3 - Prob. 18PCh. 1.3 - Prob. 19PCh. 1.3 - Prob. 20PCh. 1.3 - Prob. 21PCh. 1.3 - Prob. 22PCh. 1.3 - Prob. 23PCh. 1.3 - Prob. 24PCh. 1.3 - Prob. 25PCh. 1.3 - Prob. 26PCh. 1.3 - Prob. 27PCh. 1.3 - Prob. 28PCh. 1.3 - Prob. 29PCh. 1.3 - Prob. 30PCh. 1.3 - Prob. 31PCh. 1.3 - Prob. 32PCh. 1.3 - Prob. 33PCh. 1.3 - Prob. 34PCh. 1.3 - Prob. 35PCh. 1.3 - Prob. 36PCh. 1.3 - Prob. 37PCh. 1.3 - Prob. 38PCh. 1.3 - Prob. 39PCh. 1.3 - Prob. 40PCh. 1.3 - Prob. 41PCh. 1.3 - Prob. 42PCh. 1.3 - Prob. 43PCh. 1.3 - Prob. 44PCh. 1.3 - Prob. 45PCh. 1.3 - Prob. 46PCh. 1.3 - Prob. 47PCh. 1.3 - Prob. 48PCh. 1.3 - Prob. 49PCh. 1.3 - Prob. 50PCh. 1.3 - Prob. 51PCh. 1.3 - Prob. 52PCh. 1.3 - Prob. 53PCh. 1.3 - Prob. 54PCh. 1.3 - Prob. 55PCh. 1.3 - Prob. 56PCh. 1.3 - Prob. 57PCh. 1.3 - Prob. 58PCh. 1.3 - Prob. 59PCh. 1.3 - Prob. 60PCh. 1.3 - Prob. 61PCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 5PCh. 1.4 - Prob. 6PCh. 1.4 - Prob. 7PCh. 1.4 - Prob. 8PCh. 1.4 - Prob. 9PCh. 1.4 - Prob. 10PCh. 1.4 - Prob. 11PCh. 1.4 - Prob. 12PCh. 1.4 - Prob. 13PCh. 1.4 - Prob. 14PCh. 1.4 - Prob. 15PCh. 1.4 - Prob. 16PCh. 1.4 - Prob. 17PCh. 1.4 - Prob. 18PCh. 1.4 - Prob. 19PCh. 1.4 - Prob. 20PCh. 1.4 - Prob. 21PCh. 1.4 - Prob. 22PCh. 1.4 - Prob. 23PCh. 1.4 - Prob. 24PCh. 1.4 - Prob. 25PCh. 1.4 - Prob. 26PCh. 1.4 - Prob. 27PCh. 1.4 - Prob. 28PCh. 1.4 - Prob. 29PCh. 1.4 - Prob. 30PCh. 1.4 - Prob. 31PCh. 1.4 - Prob. 32PCh. 1.4 - Prob. 33PCh. 1.4 - Prob. 34PCh. 1.4 - Prob. 35PCh. 1.4 - Prob. 36PCh. 1.4 - Prob. 37PCh. 1.4 - Prob. 38PCh. 1.4 - Prob. 39PCh. 1.4 - Prob. 40PCh. 1.4 - Prob. 41PCh. 1.4 - Prob. 42PCh. 1.4 - Prob. 43PCh. 1.4 - Prob. 44PCh. 1.4 - Prob. 45PCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 5PCh. 1.5 - Prob. 6PCh. 1.5 - Prob. 7PCh. 1.5 - Prob. 8PCh. 1.5 - Prob. 9PCh. 1.5 - Prob. 10PCh. 1.5 - Prob. 11PCh. 1.5 - Prob. 12PCh. 1.5 - Prob. 13PCh. 1.5 - Prob. 14PCh. 1.5 - Prob. 15PCh. 1.5 - Prob. 16PCh. 1.5 - Prob. 17PCh. 1.5 - Prob. 18PCh. 1.5 - Prob. 19PCh. 1.5 - Prob. 20PCh. 1.5 - Prob. 21PCh. 1.5 - Prob. 22PCh. 1.5 - Prob. 23PCh. 1.5 - Prob. 24PCh. 1.5 - Prob. 25PCh. 1.5 - Prob. 26PCh. 1.5 - Prob. 27PCh. 1.5 - Prob. 28PCh. 1.5 - Prob. 29PCh. 1.5 - Prob. 30PCh. 1.5 - Prob. 31PCh. 1.5 - Prob. 32PCh. 1.5 - Prob. 33PCh. 1.5 - Prob. 34PCh. 1.5 - Prob. 35PCh. 1.5 - Prob. 36PCh. 1.5 - Prob. 37PCh. 1.5 - Prob. 38PCh. 1.5 - Prob. 39PCh. 1.5 - Prob. 40PCh. 1.5 - Prob. 41PCh. 1.5 - Prob. 42PCh. 1.5 - Prob. 43PCh. 1.5 - Prob. 44PCh. 1.5 - Prob. 45PCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 5PCh. 1.6 - Prob. 6PCh. 1.6 - Prob. 7PCh. 1.6 - Prob. 8PCh. 1.6 - Prob. 9PCh. 1.6 - Prob. 10PCh. 1.6 - Prob. 11PCh. 1.6 - Prob. 12PCh. 1.6 - Prob. 13PCh. 1.6 - Prob. 14PCh. 1.6 - Prob. 15PCh. 1.6 - Prob. 16PCh. 1.6 - Prob. 17PCh. 1.6 - Prob. 18PCh. 1.6 - Prob. 19PCh. 1.6 - Prob. 20PCh. 1.6 - Prob. 21PCh. 1.6 - Prob. 22PCh. 1.6 - Prob. 23PCh. 1.6 - Prob. 24PCh. 1.6 - Prob. 25PCh. 1.6 - Prob. 26PCh. 1.6 - Prob. 27PCh. 1.6 - Prob. 28PCh. 1.6 - Prob. 29PCh. 1.6 - Prob. 30PCh. 1.6 - Prob. 31PCh. 1.6 - Prob. 32PCh. 1.6 - Prob. 33PCh. 1.6 - Prob. 34PCh. 1.6 - Prob. 35PCh. 1.6 - Prob. 36PCh. 1.6 - Prob. 37PCh. 1.6 - Prob. 38PCh. 1.6 - Prob. 39PCh. 1.6 - Prob. 40PCh. 1.6 - Prob. 41PCh. 1.6 - Prob. 42PCh. 1.6 - Prob. 43PCh. 1.6 - Prob. 44PCh. 1.6 - Prob. 45PCh. 1.6 - Prob. 46PCh. 1.6 - Prob. 47PCh. 1.6 - Prob. 48PCh. 1.6 - Prob. 49PCh. 1.6 - Prob. 50PCh. 1.6 - Prob. 51PCh. 1.6 - Prob. 52PCh. 1.6 - Prob. 53PCh. 1.7 - Prob. 1PCh. 1.7 - Prob. 2PCh. 1.7 - Prob. 3PCh. 1.7 - Prob. 4PCh. 1.7 - Prob. 5PCh. 1.7 - Prob. 6PCh. 1.7 - Prob. 7PCh. 1.7 - Prob. 8PCh. 1.7 - Prob. 9PCh. 1.7 - Prob. 10PCh. 1.7 - Prob. 11PCh. 1.7 - Prob. 12PCh. 1.7 - Prob. 13PCh. 1.7 - Prob. 14PCh. 1.7 - Prob. 15PCh. 1.7 - Prob. 16PCh. 1.7 - Prob. 17PCh. 1.7 - Prob. 18PCh. 1.7 - Prob. 19PCh. 1.7 - Prob. 20PCh. 1.7 - Prob. 21PCh. 1.7 - Prob. 22PCh. 1.7 - Prob. 23PCh. 1.7 - Prob. 24PCh. 1.7 - Prob. 25PCh. 1.7 - Prob. 26PCh. 1.7 - Prob. 27PCh. 1.7 - Prob. 28PCh. 1.7 - Prob. 29PCh. 1.7 - Prob. 30PCh. 1.7 - Prob. 31PCh. 1.7 - Prob. 32PCh. 1.7 - Prob. 33PCh. 1.7 - Prob. 34PCh. 1.7 - Prob. 35PCh. 1.7 - Prob. 36PCh. 1.7 - Prob. 37PCh. 1.7 - Prob. 38PCh. 1.7 - Prob. 39PCh. 1.7 - Prob. 40PCh. 1.7 - Prob. 41PCh. 1.7 - Prob. 42PCh. 1.7 - Prob. 43PCh. 1.7 - Prob. 44PCh. 1.7 - Prob. 45PCh. 1.7 - Prob. 46PCh. 1.7 - Prob. 47PCh. 1.7 - Prob. 48PCh. 1.7 - Prob. 49PCh. 1.7 - Prob. 50PCh. 1.7 - Prob. 51PCh. 1.7 - Prob. 52PCh. 1.7 - Prob. 53PCh. 1.7 - Prob. 54PCh. 1.8 - Prob. 1PCh. 1.8 - Prob. 2PCh. 1.8 - Prob. 3PCh. 1.8 - Prob. 4PCh. 1.8 - Prob. 5PCh. 1.8 - Prob. 6PCh. 1.8 - Prob. 7PCh. 1.8 - Prob. 8PCh. 1.8 - Prob. 9PCh. 1.8 - Prob. 10PCh. 1.8 - Prob. 11PCh. 1.8 - Prob. 12PCh. 1.8 - Prob. 13PCh. 1.8 - Prob. 14PCh. 1.8 - Prob. 15PCh. 1.8 - Prob. 16PCh. 1.8 - Prob. 17PCh. 1.8 - Prob. 18PCh. 1.8 - Prob. 19PCh. 1.8 - Prob. 20PCh. 1.8 - Prob. 21PCh. 1.8 - Prob. 22PCh. 1.8 - Prob. 23PCh. 1.8 - Prob. 24PCh. 1.8 - Prob. 25PCh. 1.8 - Prob. 26PCh. 1.8 - Prob. 27PCh. 1.8 - Prob. 28PCh. 1.8 - Prob. 29PCh. 1.8 - Prob. 30PCh. 1.8 - Prob. 31PCh. 1.8 - Prob. 32PCh. 1.8 - Prob. 33PCh. 1.8 - Prob. 34PCh. 1.8 - Prob. 35PCh. 1.8 - Prob. 36PCh. 1.8 - Prob. 37PCh. 1.8 - Prob. 38PCh. 1.8 - Prob. 39PCh. 1.8 - Prob. 40PCh. 1.8 - Prob. 41PCh. 1.8 - Prob. 42PCh. 1.8 - Prob. 43PCh. 1.8 - Prob. 44PCh. 1.8 - Prob. 45PCh. 1.8 - Prob. 46PCh. 1.8 - Prob. 47PCh. 1.8 - Prob. 48PCh. 1.8 - Prob. 49PCh. 1.8 - Prob. 50PCh. 1.8 - Prob. 51PCh. 1.8 - Prob. 52PCh. 1.8 - Prob. 53PCh. 1.8 - Prob. 54PCh. 1.8 - Prob. 55PCh. 1.8 - Prob. 56PCh. 1.8 - Prob. 57PCh. 1.8 - Prob. 58PCh. 1.8 - Prob. 59PCh. 1.9 - Prob. 1PCh. 1.9 - Prob. 2PCh. 1.9 - Prob. 3PCh. 1.9 - Prob. 4PCh. 1.9 - Prob. 5PCh. 1.9 - Prob. 6PCh. 1.9 - Prob. 7PCh. 1.9 - Prob. 8PCh. 1.9 - Prob. 9PCh. 1.9 - Prob. 10PCh. 1.9 - Prob. 11PCh. 1.9 - Prob. 12PCh. 1.9 - Prob. 13PCh. 1.9 - Prob. 14PCh. 1.9 - Prob. 15PCh. 1.9 - Prob. 16PCh. 1.9 - Prob. 17PCh. 1.9 - Prob. 18PCh. 1.9 - Prob. 19PCh. 1.9 - Prob. 20PCh. 1.9 - Prob. 21PCh. 1.9 - Prob. 22PCh. 1.9 - Prob. 23PCh. 1.9 - Prob. 24PCh. 1.9 - Prob. 25PCh. 1.9 - Prob. 26PCh. 1.9 - Prob. 27PCh. 1.9 - Prob. 28PCh. 1.9 - Prob. 29PCh. 1.10 - Prob. 1PCh. 1.10 - Prob. 2PCh. 1.10 - Prob. 3PCh. 1.10 - Prob. 4PCh. 1.10 - Prob. 5PCh. 1.10 - Prob. 6PCh. 1.10 - Prob. 7PCh. 1.10 - Prob. 8PCh. 1.10 - Prob. 9PCh. 1.10 - Prob. 10PCh. 1.10 - Prob. 11PCh. 1.10 - Prob. 12PCh. 1.10 - Prob. 13PCh. 1.10 - Prob. 14PCh. 1.10 - Prob. 15PCh. 1.10 - Prob. 16PCh. 1.10 - Prob. 17PCh. 1.10 - Prob. 18PCh. 1.10 - Prob. 19PCh. 1.10 - Prob. 20PCh. 1.10 - Prob. 21PCh. 1.10 - Prob. 22PCh. 1.10 - Prob. 23PCh. 1.10 - Prob. 24PCh. 1.10 - Prob. 25PCh. 1.10 - Prob. 26PCh. 1.10 - Prob. 27PCh. 1.10 - Prob. 28PCh. 1.10 - Prob. 29PCh. 1.10 - Prob. 30PCh. 1.10 - Prob. 31PCh. 1.10 - Prob. 32PCh. 1.10 - Prob. 33PCh. 1.10 - Prob. 34PCh. 1.10 - Prob. 35PCh. 1.10 - Prob. 36PCh. 1.10 - Prob. 37PCh. 1 - Prob. 1SYUCh. 1 - Prob. 2SYUCh. 1 - Prob. 3SYUCh. 1 - Prob. 4SYUCh. 1 - Prob. 5SYUCh. 1 - Prob. 6SYUCh. 1 - Prob. 7SYUCh. 1 - Prob. 8SYUCh. 1 - Prob. 9SYUCh. 1 - Prob. 10SYUCh. 1 - Prob. 11SYUCh. 1 - Prob. 12SYUCh. 1 - Prob. 13SYUCh. 1 - Prob. 14SYUCh. 1 - Prob. 15SYUCh. 1 - Prob. 16SYUCh. 1 - Prob. 17SYUCh. 1 - Prob. 18SYUCh. 1 - Prob. 19SYUCh. 1 - Prob. 20SYUCh. 1 - Prob. 21SYUCh. 1 - Prob. 22SYUCh. 1 - Prob. 23SYUCh. 1 - Prob. 24SYUCh. 1 - Prob. 25SYUCh. 1 - Prob. 26SYUCh. 1 - Prob. 27SYUCh. 1 - Prob. 28SYUCh. 1 - Prob. 29SYUCh. 1 - Prob. 30SYUCh. 1 - Prob. 31SYUCh. 1 - Prob. 32SYUCh. 1 - Prob. 33SYUCh. 1 - Prob. 34SYUCh. 1 - Prob. 35SYUCh. 1 - Prob. 36SYUCh. 1 - Prob. 37SYUCh. 1 - Prob. 38SYUCh. 1 - Prob. 39SYUCh. 1 - Prob. 40SYUCh. 1 - Prob. 41SYUCh. 1 - Prob. 42SYUCh. 1 - Prob. 43SYUCh. 1 - Prob. 44SYUCh. 1 - Prob. 45SYUCh. 1 - Prob. 46SYUCh. 1 - Prob. 47SYUCh. 1 - Prob. 48SYUCh. 1 - Prob. 49SYUCh. 1 - Prob. 50SYUCh. 1 - Prob. 51SYUCh. 1 - Prob. 52SYUCh. 1 - Prob. 53SYUCh. 1 - Prob. 54SYUCh. 1 - Prob. 55SYUCh. 1 - Prob. 56SYUCh. 1 - Prob. 57SYUCh. 1 - Prob. 58SYUCh. 1 - Prob. 59SYUCh. 1 - Prob. 60SYUCh. 1 - Prob. 61SYUCh. 1 - Prob. 62SYUCh. 1 - Prob. 63SYUCh. 1 - Prob. 64SYUCh. 1 - Prob. 65SYUCh. 1 - Prob. 66SYUCh. 1 - Prob. 67SYUCh. 1 - Prob. 68SYUCh. 1 - Prob. 69SYUCh. 1 - Prob. 70SYUCh. 1 - Prob. 71SYUCh. 1 - Prob. 72SYUCh. 1 - Prob. 73SYUCh. 1 - Prob. 74SYUCh. 1 - Prob. 75SYUCh. 1 - Prob. 76SYUCh. 1 - Prob. 77SYUCh. 1 - Prob. 78SYUCh. 1 - Prob. 79SYUCh. 1 - Prob. 80SYUCh. 1 - Prob. 81SYUCh. 1 - Prob. 82SYUCh. 1 - Prob. 83SYUCh. 1 - Prob. 84SYUCh. 1 - Prob. 85SYUCh. 1 - Prob. 86SYUCh. 1 - Prob. 87SYUCh. 1 - Prob. 88SYUCh. 1 - Prob. 89SYUCh. 1 - Prob. 90SYUCh. 1 - Prob. 91SYUCh. 1 - Prob. 92SYUCh. 1 - Prob. 93SYUCh. 1 - Prob. 94SYUCh. 1 - Prob. 95SYUCh. 1 - Prob. 96SYUCh. 1 - Prob. 97SYUCh. 1 - Prob. 98SYUCh. 1 - Prob. 99SYUCh. 1 - Prob. 100SYUCh. 1 - Prob. 101SYUCh. 1 - Prob. 102SYUCh. 1 - Prob. 103SYUCh. 1 - Prob. 104SYUCh. 1 - Prob. 105SYU
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