MYLAB MATH COLLEGE ALGEBRA IN CONTEXT
6th Edition
ISBN: 9780135823002
Author: HARSHBARGER
Publisher: PEARSON
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Textbook Question
Chapter 7.2, Problem 16E
Solve the systems in Exercises 15–22.
16.
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5. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.AE.003.
y
y= ex²
0
Video Example
x
EXAMPLE 3
(a) Use the Midpoint Rule with n = 10 to approximate the integral
कर
L'ex²
dx.
(b) Give an upper bound for the error involved in this approximation.
SOLUTION
8+2
1
L'ex² d
(a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.)
dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)]
0.1 [0.0025 +0.0225
+
+ e0.0625 + 0.1225
e0.3025 + e0.4225
+ e0.2025
+
+ e0.5625 €0.7225 +0.9025]
The figure illustrates this approximation.
(b) Since f(x) = ex², we have f'(x)
=
0 ≤ f'(x) =
< 6e.
ASK YOUR TEACHER
and f'(x) =
Also, since 0 ≤ x ≤ 1 we have x² ≤
and so
Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final
answer to five decimal places.)
6e(1)3
e
24(
=
≈
1. Consider the following preference ballots:
Number of voters
Rankings 6 5 4 2
1st choice A DCB
DC
2nd choice B B D
3rd choice DCBD
4th choice CA
AAA
For each of the four voting systems we have studied, determine who would win the election
in each case. (Remember: For plurality with runoff, all but the top two vote-getters are
simultaneously eliminated at the end of round 1.)
Practice
k Help
ises
A
96
Anewer The probability that you get a sum of at least 10 is
Determine the number of ways that the specified event can occur when
two number cubes are rolled.
1. Getting a sum of 9 or 10
3. Getting a sum less than 5
2. Getting a sum of 6 or 7
4. Getting a sum that is odd
Tell whether you would use the addition principle or the multiplication
principle to determine the total number of possible outcomes for the
situation described.
5. Rolling three number cubes
6. Getting a sum of 10 or 12 after rolling three number cubes
A set of playing cards contains four groups of cards designated by color
(black, red, yellow, and green) with cards numbered from 1 to 14 in each
group. Determine the number of ways that the specified event can occur
when a card is drawn from the set.
7. Drawing a 13 or 14
9. Drawing a number less than 4
8. Drawing a yellow or green card
10. Drawing a black, red, or green car
The spinner is divided into equal parts.
Find the specified…
Chapter 7 Solutions
MYLAB MATH COLLEGE ALGEBRA IN CONTEXT
Ch. 7.1 - In Exercises 14, solve the systems of equations....Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - In Exercises 516, use left-to-right elimination to...Ch. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Ticket Pricing A theater owner wants to divide an...Ch. 7.1 - Prob. 29ECh. 7.1 - Investment A trust account manager has 500,000 to...Ch. 7.1 - Investment A man has 400,000 invested in three...Ch. 7.1 - Loans A bank loans 285,000 to a development...Ch. 7.1 - Transportation Ace Trucking Company has an order...Ch. 7.1 - Nutrition The following table gives the calories,...Ch. 7.1 - Exercises 3540 have nonunique solutions. 35....Ch. 7.1 - Exercises 3540 have nonunique solutions. 36. Loans...Ch. 7.1 - Exercises 3540 have nonunique solutions. 37....Ch. 7.1 - Exercises 3540 have nonunique solutions. 38....Ch. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - Solve the systems in Exercises 1522. 15....Ch. 7.2 - Solve the systems in Exercises 1522. 16....Ch. 7.2 - Solve the systems in Exercises 1522. 17....Ch. 7.2 - Solve the systems in Exercises 1522. 18....Ch. 7.2 - Solve the systems in Exercises 1522. 19....Ch. 7.2 - Solve the systems in Exercises 1522. 20....Ch. 7.2 - Solve the systems in Exercises 1522. 21....Ch. 7.2 - Solve the systems in Exercises 1522. 22....Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - Ticket Pricing A theater owner wants to divide a...Ch. 7.2 - Rental Cars A car rental agency rents compact,...Ch. 7.2 - Testing A professor wants to create a test that...Ch. 7.2 - Testing A professor wants to create a test that...Ch. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Prob. 44ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Find EF and FE if E=[abcd] and F=[efgh].Ch. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Endangered Species The tables give the numbers of...Ch. 7.3 - Prob. 31ECh. 7.3 - Income The table on the top of the next column...Ch. 7.3 - Prob. 33ECh. 7.3 - Cost Men and women in a church choir wear choir...Ch. 7.3 - Manufacturing Two departments, A and B, of a firm...Ch. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - In Exercises 514, find the inverse of the given...Ch. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Decoding Messages We have encoded messages by...Ch. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Decoding Messages We have encoded messages by...Ch. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - In Exercises 916, solve the system algebraically...Ch. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Prob. 21ECh. 7.6 - Prob. 22ECh. 7.6 - Prob. 23ECh. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Constructing a Box A rectangular piece of...Ch. 7.6 - Prob. 34ECh. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7 - If y is proportional to x, and y = 12x, what is...Ch. 7 - Prob. 2TECh. 7 - Prob. 3TECh. 7 - Prob. 4TECh. 7 - Prob. 5TECh. 7 - Prob. 6TECh. 7 - Prob. 7TECh. 7 - Prob. 8TECh. 7 - Prob. 9TECh. 7 - Prob. 10TECh. 7 - Prob. 11TECh. 7 - Prob. 12TECh. 7 - Prob. 13TECh. 7 - Prob. 14TECh. 7 - Prob. 15TECh. 7 - Prob. 16TECh. 7 - Prob. 17TECh. 7 - Prob. 18TECh. 7 - Determine whether the planes represented by these...Ch. 7 - Prob. 20TECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - In Exercises 31 and 32, solve the system of...Ch. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Medication Medication A is given six times per...Ch. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Finance A financial planner promises a long-term...Ch. 7 - Transportation Marshall Trucking Company has an...Ch. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Investment An investor wants to place a total of...Ch. 7 - Income and SAT Scores The following table gives...Ch. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RE
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