EBK MATHEMATICS ALL AROUND
6th Edition
ISBN: 8220103632027
Author: Pirnot
Publisher: Pearson Education (US)
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Chapter 14.4, Problem 79E
To determine
To explain:
The reason why it is incorrect to subtract 1.3 from 2.0 and then use the z-score of the resultant to find the area between
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x³-343
If k(x) =
x-7
complete the table and use the results to find lim k(x).
X-7
x
6.9
6.99
6.999
7.001
7.01
7.1
k(x)
Complete the table.
X
6.9
6.99
6.999
7.001
7.01
7.1
k(x)
(Round to three decimal places as needed.)
(3) (4 points) Given three vectors a, b, and c, suppose:
|bx c = 2
|a|=√√8
• The angle between a and b xc is 0 = 135º.
.
Calculate the volume a (bxc) of the parallelepiped spanned by the three vectors.
Calculate these limits. If the limit is ∞ or -∞, write infinity or-infinity. If the limit does not exist, write DNE:
Hint: Remember the first thing you check when you are looking at a limit of a quotient is the limit value of the denominator.
1. If the denominator does not go to 0, you should be able to right down the answer immediately.
2. If the denominator goes to 0, but the numerator does not, you will have to check the sign (±) of the quotient, from both sides if the limit is not one-sided.
3. If both the numerator and the denominator go to 0, you have to do the algebraic trick of rationalizing.
So, group your limits into these three forms and work with them one group at a time.
(a) lim
t-pi/2
sint-√ sin 2t+14cos ² t
7
2
2
2cos
t
(b) lim
sint + sin 2t+14cos
=
∞
t-pi/2
2
2cos t
(c) lim
cost-√sin 2t+14cos² t
=
t-pi/2
2cos t
(d) lim
t→pi/2
cost+√ sin t + 14cos
2cos ² t
=
∞
(e) lim
sint-v sin
2
t + 14cos
=
0
t-pi/2
(f) lim
t-pi/2
sin t +√ sin
2sin 2 t
2
t + 14cos
t
2sin t
cost-
(g)…
Chapter 14 Solutions
EBK MATHEMATICS ALL AROUND
Ch. 14.1 - Sharpening Your Skills. In Exercises 1 and 2,...Ch. 14.1 - Sharpening Your Skills. In Exercises 1 and 2,...Ch. 14.1 - Sharpening Your Skills. In Exercises 3 and 4,...Ch. 14.1 - Sharpening Your Skills. In Exercises 3 and 4,...Ch. 14.1 - Sharpening Your Skills. In Exercises 5 and 6,...Ch. 14.1 - Sharpening Your Skills. In Exercises 5 and 6,...Ch. 14.1 - Prob. 7ECh. 14.1 - Sharpening Your Skills. In Exercises 7 and 8,...Ch. 14.1 - Prob. 9ECh. 14.1 - Sharpening Your Skills. In Exercises 9 and 10,...
Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Applying What Youve Learned. Customers at...Ch. 14.1 - Applying What Youve Learned. Scheduling a rec...Ch. 14.1 - Applying What Youve Learned. Data similar to that...Ch. 14.1 - Applying What Youve Learned. Data similar to that...Ch. 14.1 - Comparing wage data. The following bar graphs...Ch. 14.1 - Applying What Youve Lerarned. Comparing wage data....Ch. 14.1 - Applying What Youve Learned. Comparing wage data....Ch. 14.1 - Applying What Youve Learned. Comparing wage data....Ch. 14.1 - Applying What Youve Learned. Comparing wage data....Ch. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - For Exercises 23 26, use the four graphs of the...Ch. 14.1 - Applying What Youve Learned. Comparing training...Ch. 14.1 - Applying What Youve Learned. Comparing weight-loss...Ch. 14.1 - Applying What Youve Learned. Super Bowl scores....Ch. 14.1 - Applying What Youve Learned. Law School Aptitude...Ch. 14.1 - In Exercises 31 34, first group the data using an...Ch. 14.1 - Applying What Youve Learned. In Exercises 31 34,...Ch. 14.1 - In Exercises 31 34, first group the data using an...Ch. 14.1 - Applying What Youve Learned. In Exercises 31 34,...Ch. 14.1 - Communicating Mathematics What is the difference...Ch. 14.1 - Communicating Mathematics If you are using a bar...Ch. 14.1 - Communicating Mathematics What is the difference...Ch. 14.1 - Communicating Mathematics What do you see as an...Ch. 14.1 - Challenge Yourself How might you present three...Ch. 14.1 - Challenge Yourself 42. The following table is an...Ch. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Sharpening Your Skills Find the mean, median, and...Ch. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - In Exercises 1720, a give the five-number summary...Ch. 14.2 - Prob. 18ECh. 14.2 - In Exercises 1720, a give the five-number summary...Ch. 14.2 - In Exercises 1720, a give the five-number summary...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - Many colleges assign numerical points to grades as...Ch. 14.2 - Prob. 30ECh. 14.2 - Exam scores. Izzy had an 84 and an 86 on his first...Ch. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Exam scores. Assume that in your History of Film...Ch. 14.2 - Prob. 36ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Prob. 39ECh. 14.2 - Example 6 Using Stem-and-Leaf Home Run Records...Ch. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Prob. 43ECh. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.2 - Prob. 47ECh. 14.2 - A college placement office has made a comparative...Ch. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - Give three separate real-life examples in which...Ch. 14.2 - Which measure of central tendency do you think is...Ch. 14.2 - Manipulating data. Choose some set of data...Ch. 14.2 - Analyzing misleading graphs. Find a graph in the...Ch. 14.2 - Prob. 55ECh. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - Prob. 60ECh. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Prob. 19ECh. 14.3 - Applying What Youve Learned Summarizing age data....Ch. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - In Exercises 31 and 32, we present information on...Ch. 14.3 - In Exercises 31 and 32, we present information on...Ch. 14.3 - Human resources. As the manager of the human...Ch. 14.3 - Prob. 34ECh. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Laptop batteries. A particular brand of laptop was...Ch. 14.3 - Study times. A group of students were sampled with...Ch. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - Use the following graphs for Exercise 44 a. Which...Ch. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Use the following graph of the standard normal...Ch. 14.4 - Use the following graph of the standard normal...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 24ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 28ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 30ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 32ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - In Exercises 35 - 40, we give you a mean, a...Ch. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - In Exercises 41 - 46, we give you a mean, a...Ch. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - Prob. 53ECh. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 56ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - Prob. 61ECh. 14.4 - Prob. 62ECh. 14.4 - Prob. 63ECh. 14.4 - Weight lifting.In a power lifting competition the...Ch. 14.4 - Strength of cables.A certain type of cable has a...Ch. 14.4 - Prob. 66ECh. 14.4 - Prob. 67ECh. 14.4 - Prob. 68ECh. 14.4 - Prob. 69ECh. 14.4 - Prob. 70ECh. 14.4 - Prob. 71ECh. 14.4 - Prob. 72ECh. 14.4 - Prob. 73ECh. 14.4 - Prob. 74ECh. 14.4 - Analyzing the SATs. Assume that the math SAT...Ch. 14.4 - Prob. 76ECh. 14.4 - Prob. 77ECh. 14.4 - Prob. 78ECh. 14.4 - Prob. 79ECh. 14.4 - Prob. 80ECh. 14.4 - Prob. 81ECh. 14.4 - Prob. 82ECh. 14.4 - Prob. 83ECh. 14.4 - Prob. 84ECh. 14.4 - Prob. 85ECh. 14.4 - Prob. 86ECh. 14.4 - If a distribution has a mean of 40 and a standard...Ch. 14.4 - Prob. 88ECh. 14.4 - Prob. 89ECh. 14.4 - Prob. 90ECh. 14.5 - In Exercises 1 and 2, state what kind of...Ch. 14.5 - In Exercises 1 and 2, state what kind of...Ch. 14.5 - For Exercises 3 6, do the following: a. Plot the...Ch. 14.5 - Prob. 4ECh. 14.5 - Prob. 5ECh. 14.5 - Prob. 6ECh. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - In Exercises 11 14, find the line of best fit for...Ch. 14.5 - Prob. 14ECh. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - Prob. 17ECh. 14.5 - Prob. 18ECh. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Example 3, we found the absolute value of the...Ch. 14.5 - Prob. 24ECh. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.CR - Prob. 1CRCh. 14.CR - Prob. 2CRCh. 14.CR - Prob. 3CRCh. 14.CR - Prob. 4CRCh. 14.CR - The lists represent the ages of actors M and...Ch. 14.CR - Prob. 6CRCh. 14.CR - Prob. 7CRCh. 14.CR - Prob. 8CRCh. 14.CR - Prob. 9CRCh. 14.CR - Prob. 10CRCh. 14.CR - Prob. 11CRCh. 14.CR - Prob. 12CRCh. 14.CR - Prob. 13CRCh. 14.CR - Prob. 14CRCh. 14.CR - Prob. 15CRCh. 14.CR - Prob. 16CRCh. 14.CR - Prob. 17CRCh. 14.CR - State what kind of correlation, if any, is...Ch. 14.CR - Prob. 19CRCh. 14.CT - Prob. 1CTCh. 14.CT - Prob. 2CTCh. 14.CT - Prob. 3CTCh. 14.CT - Prob. 4CTCh. 14.CT - Prob. 5CTCh. 14.CT - Prob. 6CTCh. 14.CT - Prob. 7CTCh. 14.CT - Prob. 8CTCh. 14.CT - Prob. 9CTCh. 14.CT - Prob. 10CTCh. 14.CT - Prob. 11CTCh. 14.CT - Prob. 12CTCh. 14.CT - Prob. 13CTCh. 14.CT - Prob. 14CTCh. 14.CT - Prob. 15CTCh. 14.CT - Prob. 16CTCh. 14.CT - Prob. 17CTCh. 14.CT - Prob. 18CT
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