Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 10.CR, Problem 18CR
To determine
(a)
To find:
The mathematical model that represents the population of the bacteria culture.
To determine
(b)
To find:
The population of bacteria at 6 A.M. for the next day.
To determine
(c)
To find:
The time to reach the bacteria population to double its original size.
To determine
(d)
To find:
The assumptions on which the model is based.
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Students have asked these similar questions
65% of all violent felons in the prison system are repeat offenders. If 43 violent felons are randomly selected, find the probability that
a. Exactly 28 of them are repeat offenders.
b. At most 28 of them are repeat offenders. c. At least 28 of them are repeat offenders. d. Between 22 and 26 (including 22 and 26) of them are repeat offenders.
(b) Find the (instantaneous) rate of change of y at x = 5.
In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of
change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the
following limit.
lim
h→0
-
f(x + h) − f(x)
h
The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule
defining f.
f(x + h) = (x + h)² - 5(x+ h)
=
2xh+h2_
x² + 2xh + h² 5✔
-
5
)x - 5h
Step 4
-
The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x).
-
f(x + h) f(x) =
= (x²
x² + 2xh + h² -
])-
=
2x
+ h² - 5h
])x-5h) - (x² - 5x)
=
]) (2x + h - 5)
Macbook Pro
Evaluate the integral using integration by parts.
Sx² cos
(9x) dx
Chapter 10 Solutions
Mathematics: A Practical Odyssey
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 2ECh. 10.0A - Prob. 3ECh. 10.0A - Prob. 4ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 6ECh. 10.0A - Prob. 7ECh. 10.0A - Prob. 8ECh. 10.0A - Prob. 9ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 12ECh. 10.0A - Prob. 13ECh. 10.0A - Prob. 14ECh. 10.0A - Prob. 15ECh. 10.0A - Prob. 16ECh. 10.0A - Prob. 17ECh. 10.0A - Prob. 18ECh. 10.0A - Prob. 19ECh. 10.0A - Prob. 20ECh. 10.0A - Prob. 21ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 24ECh. 10.0A - Prob. 25ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 27ECh. 10.0A - Prob. 28ECh. 10.0A - Prob. 29ECh. 10.0A - Prob. 30ECh. 10.0A - Prob. 31ECh. 10.0A - Prob. 32ECh. 10.0A - Prob. 33ECh. 10.0A - Prob. 34ECh. 10.0A - Prob. 35ECh. 10.0A - Prob. 36ECh. 10.0A - Prob. 37ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 39ECh. 10.0A - Prob. 40ECh. 10.0A - Prob. 41ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 43ECh. 10.0A - Prob. 44ECh. 10.0A - Prob. 45ECh. 10.0A - Prob. 46ECh. 10.0A - Prob. 47ECh. 10.0A - Prob. 48ECh. 10.0A - Prob. 49ECh. 10.0A - Prob. 50ECh. 10.0A - Prob. 51ECh. 10.0A - Prob. 52ECh. 10.0A - Prob. 53ECh. 10.0A - Prob. 54ECh. 10.0A - Prob. 55ECh. 10.0A - Prob. 56ECh. 10.0A - Prob. 57ECh. 10.0A - Prob. 58ECh. 10.0A - Prob. 59ECh. 10.0A - Prob. 60ECh. 10.0A - Prob. 61ECh. 10.0A - Prob. 62ECh. 10.0A - Prob. 63ECh. 10.0A - Prob. 64ECh. 10.0A - Prob. 65ECh. 10.0A - Prob. 66ECh. 10.0A - Prob. 67ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 2ECh. 10.0B - Prob. 3ECh. 10.0B - Prob. 4ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 6ECh. 10.0B - Prob. 7ECh. 10.0B - Prob. 8ECh. 10.0B - Prob. 9ECh. 10.0B - Prob. 10ECh. 10.0B - Prob. 11ECh. 10.0B - Prob. 12ECh. 10.0B - Prob. 13ECh. 10.0B - Prob. 14ECh. 10.0B - In Exercises 13-22, rewrite the given logarithm so...Ch. 10.0B - Prob. 16ECh. 10.0B - Prob. 17ECh. 10.0B - Prob. 18ECh. 10.0B - Prob. 19ECh. 10.0B - Prob. 20ECh. 10.0B - In Exercises 13-12, rewrite the given logarithm so...Ch. 10.0B - Prob. 22ECh. 10.0B - Prob. 23ECh. 10.0B - Prob. 24ECh. 10.0B - Prob. 25ECh. 10.0B - Prob. 26ECh. 10.0B - Prob. 27ECh. 10.0B - Prob. 28ECh. 10.0B - Prob. 29ECh. 10.0B - Prob. 30ECh. 10.0B - Prob. 31ECh. 10.0B - Prob. 32ECh. 10.0B - Prob. 33ECh. 10.0B - Prob. 34ECh. 10.0B - Prob. 35ECh. 10.0B - Prob. 36ECh. 10.0B - Prob. 37ECh. 10.0B - Prob. 38ECh. 10.0B - Prob. 39ECh. 10.0B - Prob. 40ECh. 10.0B - Prob. 41ECh. 10.0B - Prob. 42ECh. 10.0B - Prob. 43ECh. 10.0B - Prob. 44ECh. 10.0B - Prob. 45ECh. 10.0B - Prob. 46ECh. 10.0B - Prob. 47ECh. 10.0B - Prob. 48ECh. 10.0B - Prob. 49ECh. 10.0B - Prob. 50ECh. 10.0B - Prob. 51ECh. 10.0B - Prob. 52ECh. 10.0B - Prob. 53ECh. 10.0B - Prob. 54ECh. 10.0B - Prob. 55ECh. 10.0B - Prob. 56ECh. 10.0B - Prob. 57ECh. 10.0B - Prob. 58ECh. 10.0B - Prob. 59ECh. 10.0B - Prob. 60ECh. 10.0B - Prob. 61ECh. 10.0B - Prob. 62ECh. 10.0B - Prob. 63ECh. 10.0B - Prob. 64ECh. 10.0B - Prob. 65ECh. 10.0B - Prob. 66ECh. 10.0B - Exercises 59-70 refer to Example 10. You want to...Ch. 10.0B - Prob. 68ECh. 10.0B - Prob. 69ECh. 10.0B - Prob. 70ECh. 10.0B - Prob. 71ECh. 10.0B - Prob. 72ECh. 10.0B - Prob. 73ECh. 10.0B - Prob. 74ECh. 10.0B - Prob. 75ECh. 10.0B - Prob. 76ECh. 10.0B - Prob. 77ECh. 10.0B - Prob. 78ECh. 10.0B - Prob. 79ECh. 10.0B - Prob. 80ECh. 10.0B - Prob. 81ECh. 10.0B - Prob. 82ECh. 10.0B - Prob. 83ECh. 10.0B - Prob. 84ECh. 10.0B - Prob. 85ECh. 10.0B - Prob. 86ECh. 10.1 - Use the model p=30e0.0198026273t developed in...Ch. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - A biologist is conducting an experiment that...Ch. 10.1 - A university keeps a number of mice for psychology...Ch. 10.1 - Prob. 15ECh. 10.1 - In July 2012, Alvarado Niles bought a house for...Ch. 10.1 - An October 2009 article in The Industry Standard...Ch. 10.1 - According to a September9,2007, article in ZDNet,...Ch. 10.1 - The number of cell phone subscribers has been...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - In 1969, the National Academy of Sciences...Ch. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Use the data in Exercise 22 to complete the...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.2 - Using the model Q=20e0.086643397t developed in...Ch. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Using the model Q=8.2e0.053319013t developed in...Ch. 10.2 - Silicon-31 is used to diagnose certain medical...Ch. 10.2 - Plutonium-238 is used as a compact source of...Ch. 10.2 - How long will it take 64grams of magnesium 28 to...Ch. 10.2 - Prob. 8ECh. 10.2 - How long will it take 500grams of plutonium-241 to...Ch. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - How long will it take a given quantity of...Ch. 10.2 - How long will it take a given quantity of...Ch. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - In March 2011, the Fukushima Daiichi nuclear power...Ch. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - A lab technician had 58 grams of a radioactive...Ch. 10.2 - A lab technician had 32 grams of a radioactive...Ch. 10.2 - In 1989, a Mayan codex a remnant of ancient...Ch. 10.2 - Two Ohlone Indian skeletons, along with burial...Ch. 10.2 - In 1940, beautiful prehistoric cave paintings of...Ch. 10.2 - Prob. 26ECh. 10.2 - An ancient parchment contained 70 of the expected...Ch. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - How much carbon-14 would you expect to find in a...Ch. 10.2 - Prob. 33ECh. 10.2 - A museum claims that one of its skeleton is 9,000...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - In Example 8, we determined that 0.891(or89.1) of...Ch. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - What does the phrase half-life mean?Ch. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Shortly after the 1989 San Francisco quake, it was...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 18ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - In Exercises 21-24, find the dB gain for the given...Ch. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - If a single trumpet is playing at 78dB, how many...Ch. 10.3 - Prob. 31ECh. 10.3 - Find a rule of thumb for the dB gain if the number...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.CR - In Exercise 1-3, find the value of x. x=log381Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CR
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