Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
10th Edition
ISBN: 9780133347777
Author: Robert A. Carman Emeritus, Hal M. Saunders
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 21APS
Retail Merchandising A small computer store is making purchasing decisions for the upcoming year. To help decide which products to purchase, the owners looked at sales trends over the past year. The stacked bar graph (Graph III) shows the unit sales of desktop computers, laptop computers, and computer tablets over a 12-month period. Study the graph and answer questions 16 through 23 that follow.
Graph III
In August, what percent of total sales was represented by desktops?
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Keity
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1. (i)
Identify which of the following subsets of R2 are open and which
are not.
(a)
A = (2,4) x (1, 2),
(b)
B = (2,4) x {1,2},
(c)
C = (2,4) x R.
Provide a sketch and a brief explanation to each of your answers.
[6 Marks]
(ii)
Give an example of a bounded set in R2 which is not open.
[2 Marks]
(iii)
Give an example of an open set in R2 which is not bounded.
[2 Marks
2.
(i)
Which of the following statements are true? Construct coun-
terexamples for those that are false.
(a)
sequence.
Every bounded sequence (x(n)) nEN C RN has a convergent sub-
(b)
(c)
(d)
Every sequence (x(n)) nEN C RN has a convergent subsequence.
Every convergent sequence (x(n)) nEN C RN is bounded.
Every bounded sequence (x(n)) EN CRN converges.
nЄN
(e)
If a sequence (xn)nEN C RN has a convergent subsequence, then
(xn)nEN is convergent.
[10 Marks]
(ii)
Give an example of a sequence (x(n))nEN CR2 which is located on
the parabola x2 = x², contains infinitely many different points and converges
to the limit x = (2,4).
[5 Marks]
2.
(i) What does it mean to say that a sequence (x(n)) nEN CR2
converges to the limit x E R²?
[1 Mark]
(ii) Prove that if a set ECR2 is closed then every convergent
sequence (x(n))nen in E has its limit in E, that is
(x(n)) CE and x() x
x = E.
[5 Marks]
(iii)
which is located on the parabola x2 = = x
x4, contains a subsequence that
Give an example of an unbounded sequence (r(n)) nEN CR2
(2, 16) and such that x(i)
converges to the limit x = (2, 16) and such that x(i)
#
x() for any i j.
[4 Marks
Chapter 12 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 12.1 - A. Answer the questions following each...Ch. 12.1 - Trades Management The following graph shows the...Ch. 12.1 - Prob. 3AECh. 12.1 - Prob. 4AECh. 12.1 - Prob. 5AECh. 12.1 - Automotive Trades The following line graph shows...Ch. 12.1 - Prob. 7AECh. 12.1 - General Interest Study the circle graph at the top...Ch. 12.1 - Prob. 9AECh. 12.1 - Allied Health An assistant at a pharmaceutical...
Ch. 12.1 - Fire Protection Plot the following data as a bar...Ch. 12.1 - Transportation The following table lists the total...Ch. 12.1 - Metalworking Draw a bar graph from the following...Ch. 12.1 - Trades Management Plot the following data as a bar...Ch. 12.1 - Prob. 5BECh. 12.1 - General Interest The following table shows the...Ch. 12.1 - Prob. 7BECh. 12.1 - Trades Management The following table shows the...Ch. 12.1 - Prob. 9BECh. 12.1 - General Interest The following data show the world...Ch. 12.1 - Fire Protection The following data show the number...Ch. 12.1 - Prob. 12BECh. 12.1 - Hydrology The following table shows the daily...Ch. 12.1 - Business and Finance Plot a double broken-line...Ch. 12.1 - Prob. 15BECh. 12.1 - Prob. 16BECh. 12.1 - Aviation An aircraft mechanic spends 12.5% of a...Ch. 12.1 - General Interest Recent surveys have shown that...Ch. 12.2 - Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - Construct an extended frequency distribution for...Ch. 12.2 - Construct an extended frequency distribution for...Ch. 12.2 - Aviation BF Goodrich produces brake pads for...Ch. 12.2 - Prob. 2CECh. 12.2 - Prob. 3CECh. 12.2 - Prob. 4CECh. 12.2 - Automotive Trades A mechanic has logged the...Ch. 12.2 - Forestry A forest ranger wishes to determine the...Ch. 12.2 - Hydrology The following table shows the monthly...Ch. 12.2 - Prob. 8CECh. 12.2 - Automotive Trades The following table shows both...Ch. 12.2 - Hydrology The following table shows the daily...Ch. 12.2 - Allied Health The Apgar score is widely used to...Ch. 12.2 - Allied Health A pharmacist keeps careful track of...Ch. 12.2 - Prob. 13CECh. 12.2 - Prob. 14CECh. 12 - Read bar graphs, line graphs, and circle graphs....Ch. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Graph I Electrical Trades In general, as amps...Ch. 12 - Graph I Electrical Trades What is the minimum size...Ch. 12 - Graph I Electrical Trades What is the minimum wire...Ch. 12 - Prob. 4APSCh. 12 - Prob. 5APSCh. 12 - Prob. 6APSCh. 12 - Prob. 7APSCh. 12 - Prob. 8APSCh. 12 - Prob. 9APSCh. 12 - Prob. 10APSCh. 12 - Prob. 11APSCh. 12 - Prob. 12APSCh. 12 - Prob. 13APSCh. 12 - Prob. 14APSCh. 12 - Prob. 15APSCh. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - In September, what was the ratio of computer...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Prob. 24APSCh. 12 - Prob. 25APSCh. 12 - Prob. 26APSCh. 12 - Prob. 27APSCh. 12 - Prob. 28APSCh. 12 - Prob. 29APSCh. 12 - Prob. 30APSCh. 12 - Graph V Business and Finance What was the actual...Ch. 12 - Graph V Business and Finance What was the...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which months...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph VI Metalworking What percent of marine...Ch. 12 - Graph VI Metalworking What percent of this alloy...Ch. 12 - Graph VI Metalworking Without measuring, calculate...Ch. 12 - Graph VI Metalworking How many ounces of zinc are...Ch. 12 - Graph VI Metalworking How many grams of bismuth...Ch. 12 - Prob. 1BPSCh. 12 - Prob. 2BPSCh. 12 - Prob. 3BPSCh. 12 - Prob. 4BPSCh. 12 - Metalworking Construct a circle graph based on the...Ch. 12 - Fire Protection Construct a circle graph based on...Ch. 12 - Prob. 7BPSCh. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - Prob. 5CPSCh. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - Prob. 1DPSCh. 12 - Prob. 2DPSCh. 12 - Prob. 1EPSCh. 12 - Prob. 2EPSCh. 12 - Prob. 3EPSCh. 12 - Prob. 4EPSCh. 12 - Prob. 5EPSCh. 12 - Prob. 6EPSCh. 12 - Prob. 7EPSCh. 12 - Prob. 8EPS
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- 1. (i) which are not. Identify which of the following subsets of R2 are open and (a) A = (1, 3) x (1,2) (b) B = (1,3) x {1,2} (c) C = AUB (ii) Provide a sketch and a brief explanation to each of your answers. [6 Marks] Give an example of a bounded set in R2 which is not open. (iii) [2 Marks] Give an example of an open set in R2 which is not bounded. [2 Marks]arrow_forwardsat Pie Joday) B rove: ABCB. Step 1 Statement D is the midpoint of AC ED FD ZEDAZFDC Reason Given 2 ADDC Select a Reason... A OBB hp B E F D Carrow_forward2. if limit. Recall that a sequence (x(n)) CR2 converges to the limit x = R² lim ||x(n)x|| = 0. 818 - (i) Prove that a convergent sequence (x(n)) has at most one [4 Marks] (ii) Give an example of a bounded sequence (x(n)) CR2 that has no limit and has accumulation points (1, 0) and (0, 1) [3 Marks] (iii) Give an example of a sequence (x(n))neN CR2 which is located on the hyperbola x2 1/x1, contains infinitely many different Total marks 10 points and converges to the limit x = (2, 1/2). [3 Marks]arrow_forward
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