
Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Question
Chapter 9.4, Problem 4QQ
To determine
The solutions (−3,4) and (0,−1) for the equation y=2x−1, answered by Mark is correct or not.
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Exercises
Evaluate the following limits.
1. lim cot x/ln x
+01x
2. lim x² In x
+014
3. lim x*
x0+
4. lim (cos√√x)1/x
+014
5. lim x2/(1-cos x)
x10
6. lim e*/*
818
7. lim (secx - tan x)
x-x/2-
8. lim [1+(3/x)]*
x→∞0
In Exercises 1 through 3, let xo =
O and calculate P7(x) and R7(x).
1. f(x)=sin x, x in R.
2. f(x) = cos x, x in R.
3. f(x) = In(1+x), x≥0.
4. In Exercises 1, 2, and 3, for |x| 1, calculate a value of n such that P(x)
approximates f(x) to within 10-6.
5. Let (an)neN be a sequence of positive real numbers such that L =
lim (an+1/an) exists in R. If L < 1, show that an → 0. [Hint: Let
1111
L
iation
7. Let f be continuous on [a, b] and differentiable on (a, b). If lim f'(x)
xia
exists in R, show that f is differentiable at a and f'(a) = lim f'(x). A
similar result holds for b.
x-a
8. In reference to Corollary 5.4, give an example of a uniformly continuous
function on [0, 1] that is differentiable on (0, 1] but whose derivative is not
bounded there.
9. Recall that a fixed point of a function f is a point c such that f(c) = c.
(a) Show that if f is differentiable on R and f'(x)| x if x 1 and hence In(1+x) 0.
12. For 0 л/2. (Thus,
as x л/2 from the left, cos x is never large enough for x+cosx to be
greater than л/2 and cot x is never small enough for x + cot x to be less
than x/2.)
Chapter 9 Solutions
Prealgebra (6th Edition)
Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Coffee Consumption Use the pictograph to answer...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Population Density Use this pictograph to answer...Ch. 9.1 - Prob. 8ECh. 9.1 - Population Density Use this pictograph to answer...Ch. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 - Household Expenses The average household expenses...Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Emergency Room Visits In the United States...Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Monthly Precipitation The comparison line graph...Ch. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Fat and Carbohydrates Use the table to make a...Ch. 9.1 - Life Insurance Use the information in the table to...Ch. 9.1 - Life Insurance Use the information in the table to...Ch. 9.1 - Mobile Device Accessories Use the information in...Ch. 9.1 - Mobile Device Accessories Use the information in...Ch. 9.1 - Sport Event Tickets Use the circle graph for...Ch. 9.1 - Perform the operation indicated. [6.1.4]...Ch. 9.1 - Prob. 53ECh. 9.1 - Perform the operation indicated. [6.4.2] Factor....Ch. 9.1 - Use the information in the table for exercises...Ch. 9.1 - Refer to the circle graph in exercise 51 to answer...Ch. 9.1 - Use the information in the table to construct a...Ch. 9.1 - Concept Check The college administration is...Ch. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Sales Record The double-bar graph shows the number...Ch. 9.2 - Baseball The captain of the college baseball team...Ch. 9.2 - Bowling The captain of the college bowling team...Ch. 9.2 - Prob. 15ECh. 9.2 - Gasoline Mileage Cindy and Andrea traveled to...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Cell Phone Usage The numbers of cell phone minutes...Ch. 9.2 - Swimmers' Ages The ages of 10 people swimming laps...Ch. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Find the median value. Actors in a Play The...Ch. 9.2 - Find the median value. Football Injuries The...Ch. 9.2 - Prob. 33ECh. 9.2 - Find the mode. 86, 84, 86, 87, 84, 83, 90Ch. 9.2 - Prob. 35ECh. 9.2 - Find the mode. 144, 143, 140, 141, 149, 144, 141,...Ch. 9.2 - Prob. 37ECh. 9.2 - TVs Sold The last six flat-screen television sets...Ch. 9.2 - Find the mean, median, and mode for each set of...Ch. 9.2 - Prob. 40ECh. 9.2 - Find the mean, median, and mode for each set of...Ch. 9.2 - Find the mean, median, and mode for each set of...Ch. 9.2 - Study Time Dawn studies and completes homework for...Ch. 9.2 - Restaurant Ratings Sara's Seafood Place received...Ch. 9.2 - Use the table for exercises 45 and 46. Round to...Ch. 9.2 - Use the table for exercises 45 and 46. Round to...Ch. 9.2 - Monthly Salaries A local travel office has 10...Ch. 9.2 - Track Meet A college track star ran the 100-meter...Ch. 9.2 - Prob. 49ECh. 9.2 - Find the median value. 15.276; 21.375; 18.90;...Ch. 9.2 - Evaluate. [2.6.2] x2+4forx=26Ch. 9.2 - Evaluate. [2.6.2] 35x-9forx=7Ch. 9.2 - Evaluate. [2.6.2] 2x+1forx=5Ch. 9.2 - Evaluate. [2.6.2] 3x7forx=0Ch. 9.2 - [5.1.3]Roofing Cost Wesley is putting a new roof...Ch. 9.2 - [2.3.3]Mountain Altitude The highest mountain in...Ch. 9.2 - Find the average or mean quiz score for Jake if he...Ch. 9.2 - Find the median of each of the following. a. 17,...Ch. 9.2 - Find the mode of each of the following. a. Sara...Ch. 9.3 - Describe in words the directions you move on the...Ch. 9.3 - Describe in words the directions you move on the...Ch. 9.3 - Online Orders Use the line graph to answer...Ch. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 9ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 11ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 13ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 15ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 18ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Prob. 21ECh. 9.3 - Plot and label the ordered pairs on the...Ch. 9.3 - Give the coordinates of each point. KCh. 9.3 - Prob. 24ECh. 9.3 - Give the coordinates of each point. MCh. 9.3 - Prob. 26ECh. 9.3 - Give the coordinates of each point. OCh. 9.3 - Give the coordinates of each point. PCh. 9.3 - Give the coordinates of each point. QCh. 9.3 - Prob. 30ECh. 9.3 - Give the coordinates of each point. SCh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Give the coordinates of each point. VCh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Plot and label the ordered pairs on a rectangular...Ch. 9.3 - Prob. 2QQCh. 9.3 - Plot the points corresponding to each set of...Ch. 9.3 - Concept Check Line M passes through the points...Ch. 9.4 - Prob. 1ECh. 9.4 - Is (1,3) a solution to 2x+y=5? Why or why not?Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - List four ordered pairs that are solutions to the...Ch. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Prob. 14ECh. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Use a chart to organize your work for exercises...Ch. 9.4 - Prob. 23ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 30ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 32ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.4 - Plot three ordered-pair solutions of the given...Ch. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 1QQCh. 9.4 - Prob. 2QQCh. 9.4 - Prob. 3QQCh. 9.4 - Prob. 4QQCh. 9 - Course Enrollment Use this pictograph to answer...Ch. 9 - Course Enrollment Use this pictograph to answer...Ch. 9 - Prob. 3RPCh. 9 - Course Enrollment Use this pictograph to answer...Ch. 9 - Prob. 5RPCh. 9 - Prob. 6RPCh. 9 - Household Budget Nancy and Wally Worzowski's...Ch. 9 - Prob. 8RPCh. 9 - Prob. 9RPCh. 9 - Household Budget Nancy and Wally Worzowski's...Ch. 9 - Prob. 11RPCh. 9 - Household Budget Nancy and Wally Worzowski's...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Prob. 16RPCh. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Population Growth The double-bar graph illustrates...Ch. 9 - Prob. 20RPCh. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Trade-in Values vs Private Sale The comparison...Ch. 9 - Circus Souvenir Use the information in the table...Ch. 9 - Prob. 30RPCh. 9 - Prob. 31RPCh. 9 - Bus Rides Use the information in the table to...Ch. 9 - Prob. 33RPCh. 9 - Find the median value. Student Enrollment The...Ch. 9 - Prob. 35RPCh. 9 - Find the median value. Pizza Delivery The numbers...Ch. 9 - Find the mean (average). Temperature Readings The...Ch. 9 - Find the mean (average). Groceries Purchased The...Ch. 9 - Find the mean (average). Textbooks Purchased The...Ch. 9 - Prob. 40RPCh. 9 - Find the mode. 22, 13, 18, 14, 13, 19Ch. 9 - Find the mode. 18, 14, 28, 18, 29, 18, 14Ch. 9 - Prob. 43RPCh. 9 - Prob. 44RPCh. 9 - Plot and label each point on the rectangular...Ch. 9 - Plot and label each point on the rectangular...Ch. 9 - Plot and label each point on the rectangular...Ch. 9 - Plot and label each point on the rectangular...Ch. 9 - Give the coordinates of each point. RCh. 9 - Give the coordinates of each point. SCh. 9 - Give the coordinates of each point. TCh. 9 - Give the coordinates of each point. UCh. 9 - Plot the points corresponding to the ordered pairs...Ch. 9 - Prob. 54RPCh. 9 - Prob. 55RPCh. 9 - List three ordered pairs that are solutions to the...Ch. 9 - Typing Speed The secretary for the JM law offices...Ch. 9 - Prob. 58RPCh. 9 - Fill in the ordered pairs so that they are...Ch. 9 - Graph each equation. y=3x1Ch. 9 - Graph each equation. y=5x4Ch. 9 - Graph each equation. y=4x6Ch. 9 - Graph each equation. y=1Ch. 9 - The ages of 5000 students on campus were recorded....Ch. 9 - The ages of 5000 students on campus were recorded....Ch. 9 - The ages of 5000 students on campus were recorded....Ch. 9 - Prob. 4TCh. 9 - The water in Toronto Harbor in Canada freezes...Ch. 9 - The water in Toronto Harbor in Canada freezes...Ch. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - The multiple bar graph indicates the number of...Ch. 9 - Prob. 10TCh. 9 - The multiple bar graph indicates the number of...Ch. 9 - The multiple bar graph indicates the number of...Ch. 9 - The multiple bar graph indicates the number of...Ch. 9 - Prob. 14TCh. 9 - A student received quiz grades of 89, 46, 85, 91,...Ch. 9 - Prob. 16TCh. 9 - Plot and label each ordered pair on the...Ch. 9 - Plot and label each ordered pair on the...Ch. 9 - Plot and label each ordered pair on the...Ch. 9 - Plot and label each ordered pair on the...Ch. 9 - Give the coordinates of each point. ACh. 9 - Give the coordinates of each point. BCh. 9 - Give the coordinates of each point. CCh. 9 - Prob. 24TCh. 9 - Plot the set of ordered pairs and then draw a line...Ch. 9 - Prob. 26TCh. 9 - Graph. y=4x2Ch. 9 - Graph. y=3x+1
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