Pearson eText for Precalculus: A Unit Circle Approach -- Instant Access (Pearson+)
3rd Edition
ISBN: 9780137442591
Author: J. S. Ratti, Marcus McWaters
Publisher: PEARSON+
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Chapter 10.2, Problem 20E
To determine
Solve the limit -
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There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
Use a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.)
y = 100e0.01x
(x, y) =
y = 11,250
×
5. For the function y-x³-3x²-1, use
derivatives to:
(a) determine the intervals of increase and
decrease.
(b) determine the local (relative) maxima and
minima.
(e) determine the intervals of concavity.
(d) determine the points of inflection.
(e) sketch the graph with the above information
indicated on the graph.
Chapter 10 Solutions
Pearson eText for Precalculus: A Unit Circle Approach -- Instant Access (Pearson+)
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - In Exercises 9-14, complete each table and use the...Ch. 10.1 - Prob. 10E
Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 26ECh. 10.1 -
In Exercises 15-30, make a table to find each...Ch. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 32ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 34ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 36ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 38ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 40ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 42ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 44ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 46ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 48ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 50ECh. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - In Exercises 31-58, use the following graph of to...Ch. 10.1 - Prob. 54ECh. 10.1 - Prob. 55ECh. 10.1 - Prob. 56ECh. 10.1 - Prob. 57ECh. 10.1 - Prob. 58ECh. 10.1 - Prob. 59ECh. 10.1 - Prob. 60ECh. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Prob. 64ECh. 10.1 - Prob. 65ECh. 10.1 - Prob. 66ECh. 10.1 - Prob. 67ECh. 10.1 - Prob. 68ECh. 10.1 - Prob. 69ECh. 10.1 - Prob. 70ECh. 10.1 -
In Exercises 59-76, sketch the graph of each...Ch. 10.1 - Prob. 72ECh. 10.1 -
In Exercises 59-76, sketch the graph of each...Ch. 10.1 - Prob. 74ECh. 10.1 - Prob. 75ECh. 10.1 - Prob. 76ECh. 10.1 - Prob. 77ECh. 10.1 - Prob. 78ECh. 10.1 - Prob. 79ECh. 10.1 - Prob. 80ECh. 10.1 - Prob. 81ECh. 10.1 - Prob. 82ECh. 10.1 - Prob. 83ECh. 10.1 - Prob. 84ECh. 10.1 - Prob. 85ECh. 10.1 - Prob. 86ECh. 10.1 - Prob. 87ECh. 10.1 - Prob. 88ECh. 10.1 - Prob. 89ECh. 10.1 - Prob. 90ECh. 10.1 - Prob. 91ECh. 10.1 - Prob. 92ECh. 10.1 - Prob. 93ECh. 10.1 - Prob. 94ECh. 10.1 - Prob. 95ECh. 10.1 - Prob. 96ECh. 10.1 - Prob. 97ECh. 10.1 - Prob. 98ECh. 10.1 - Prob. 99ECh. 10.1 - Prob. 100ECh. 10.1 - Prob. 101ECh. 10.1 - Prob. 102ECh. 10.1 - Prob. 103ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 18ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 34ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 36ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 38ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 40ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 42ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 44ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 46ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 48ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 50ECh. 10.2 -
In Exercises 9-52, find each indicated limit...Ch. 10.2 - Prob. 52ECh. 10.2 - In Exercises 53-64, for each function f, form the...Ch. 10.2 - Prob. 54ECh. 10.2 - In Exercises 53-64, for each function f, form the...Ch. 10.2 - Prob. 56ECh. 10.2 - In Exercises 53-64, for each function f, form the...Ch. 10.2 - Prob. 58ECh. 10.2 - Prob. 59ECh. 10.2 - Prob. 60ECh. 10.2 - Prob. 61ECh. 10.2 - Prob. 62ECh. 10.2 - Prob. 63ECh. 10.2 - Prob. 64ECh. 10.2 - Prob. 65ECh. 10.2 - Prob. 66ECh. 10.2 - Prob. 67ECh. 10.2 - Prob. 68ECh. 10.2 - Prob. 69ECh. 10.2 - Prob. 70ECh. 10.2 - Prob. 71ECh. 10.2 - Prob. 72ECh. 10.2 - Prob. 73ECh. 10.2 - Prob. 74ECh. 10.2 - Prob. 75ECh. 10.2 - Prob. 76ECh. 10.2 - Prob. 77ECh. 10.2 - Prob. 78ECh. 10.2 - Prob. 79ECh. 10.2 - Prob. 80ECh. 10.2 - Prob. 81ECh. 10.2 - Prob. 82ECh. 10.2 - Prob. 83ECh. 10.2 - Prob. 84ECh. 10.2 - Prob. 85ECh. 10.2 - Prob. 86ECh. 10.2 - Prob. 87ECh. 10.2 - Prob. 88ECh. 10.2 - Prob. 89ECh. 10.2 - Prob. 90ECh. 10.2 - Prob. 91ECh. 10.2 - Prob. 92ECh. 10.2 - Prob. 93ECh. 10.2 - Prob. 94ECh. 10.2 - Prob. 95ECh. 10.2 - Prob. 96ECh. 10.2 - Prob. 97ECh. 10.2 - Prob. 98ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 -
For Exercises 9-16, use the following graph of y...Ch. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 -
In Exercises 17-28, find each limit. Use and...Ch. 10.3 - Prob. 18ECh. 10.3 -
In Exercises 17-28, find each limit. Use and...Ch. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 -
In Exercises 29-36, describe the behavior of each...Ch. 10.3 - Prob. 34ECh. 10.3 -
In Exercises 29-36, describe the behavior of each...Ch. 10.3 - Prob. 36ECh. 10.3 - In Exercises 37—40, find the limit of each...Ch. 10.3 - Prob. 38ECh. 10.3 - In Exercises 37—40, find the limit of each...Ch. 10.3 - Prob. 40ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
41.
Ch. 10.3 - Prob. 42ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
43.
Ch. 10.3 - Prob. 44ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
45.
Ch. 10.3 - Prob. 46ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
47.
Ch. 10.3 - Prob. 48ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
49.
Ch. 10.3 - Prob. 50ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
51.
Ch. 10.3 - Prob. 52ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
53.
Ch. 10.3 - Prob. 54ECh. 10.3 -
In Exercises 41-64, evaluate each limit.
55.
Ch. 10.3 - Prob. 56ECh. 10.3 - Prob. 57ECh. 10.3 - Prob. 58ECh. 10.3 - Prob. 59ECh. 10.3 - Prob. 60ECh. 10.3 - Prob. 61ECh. 10.3 - Prob. 62ECh. 10.3 - Prob. 63ECh. 10.3 - Prob. 64ECh. 10.3 - Prob. 65ECh. 10.3 - Prob. 66ECh. 10.3 - Prob. 67ECh. 10.3 - Prob. 68ECh. 10.3 - Prob. 69ECh. 10.3 - Prob. 70ECh. 10.3 - Prob. 71ECh. 10.3 - Prob. 72ECh. 10.3 - Prob. 73ECh. 10.3 - Prob. 74ECh. 10.3 - Prob. 75ECh. 10.3 - Prob. 76ECh. 10.3 - Prob. 77ECh. 10.3 - Prob. 78ECh. 10.3 - Prob. 79ECh. 10.3 - Prob. 80ECh. 10.3 - Prob. 81ECh. 10.3 - Prob. 82ECh. 10.3 - Prob. 83ECh. 10.3 - Prob. 84ECh. 10.3 - Prob. 85ECh. 10.3 - Prob. 86ECh. 10.3 - Prob. 87ECh. 10.3 - Prob. 88ECh. 10.3 - Prob. 89ECh. 10.3 - Prob. 90ECh. 10.3 - Prob. 91ECh. 10.3 - Prob. 92ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Prob. 43ECh. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - Prob. 55ECh. 10.4 - Prob. 56ECh. 10.4 - Instantaneous Rate of Change. Air is being pumped...Ch. 10.4 - Prob. 58ECh. 10.4 - Prob. 59ECh. 10.4 - Prob. 60ECh. 10.4 - Prob. 61ECh. 10.4 - Prob. 62ECh. 10.4 - Prob. 63ECh. 10.4 - Prob. 64ECh. 10.4 - Prob. 65ECh. 10.4 - Prob. 66ECh. 10.4 - Prob. 67ECh. 10.4 - Prob. 68ECh. 10.4 - Prob. 69ECh. 10.4 - Prob. 70ECh. 10.4 - Prob. 71ECh. 10.4 - Prob. 72ECh. 10.4 - Prob. 73ECh. 10.4 - Prob. 74ECh. 10.4 - Prob. 75ECh. 10.4 - Prob. 76ECh. 10.4 - Prob. 77ECh. 10.4 - Prob. 78ECh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.5 - Prob. 32ECh. 10.5 - Prob. 33ECh. 10.5 - Prob. 34ECh. 10.5 - Prob. 35ECh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - The height of a ball thrown upward from the ground...Ch. 10 - Prob. 74RECh. 10 - Prob. 1PTACh. 10 - Prob. 2PTACh. 10 - Prob. 3PTACh. 10 - Prob. 4PTACh. 10 - Prob. 5PTACh. 10 - Prob. 6PTACh. 10 - Prob. 7PTACh. 10 - Prob. 8PTACh. 10 - Prob. 9PTACh. 10 - Prob. 10PTACh. 10 - Prob. 11PTACh. 10 - Prob. 12PTACh. 10 - Prob. 13PTACh. 10 - Prob. 14PTACh. 10 - Prob. 15PTACh. 10 - Prob. 16PTACh. 10 - Prob. 17PTACh. 10 - Prob. 18PTACh. 10 - Prob. 19PTACh. 10 - Prob. 20PTACh. 10 - Prob. 1PTBCh. 10 - Prob. 2PTBCh. 10 - Prob. 3PTBCh. 10 - Prob. 4PTBCh. 10 - Prob. 5PTBCh. 10 - Prob. 6PTBCh. 10 - Prob. 7PTBCh. 10 - Prob. 8PTBCh. 10 - Prob. 9PTBCh. 10 - Prob. 10PTBCh. 10 - Prob. 11PTBCh. 10 - Prob. 12PTBCh. 10 - Prob. 13PTBCh. 10 - Prob. 14PTBCh. 10 - Prob. 15PTBCh. 10 - Prob. 16PTBCh. 10 - Prob. 17PTBCh. 10 - Prob. 18PTBCh. 10 - Prob. 19PTBCh. 10 - Prob. 20PTB
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