Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)
11th Edition
ISBN: 9780134765785
Author: Hal Saunders
Publisher: PEARSON
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Chapter 12, Problem 14APS
By what percent does the amount of fat in a Lemonade exceed the amount of fat in a Thin Mint?
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1.2.19. Let and s be natural numbers. Let G be the simple graph with vertex set
Vo... V„−1 such that v; ↔ v; if and only if |ji| Є (r,s). Prove that S has exactly k
components, where k is the greatest common divisor of {n, r,s}.
Question 3
over a field K.
In this question, MË(K) denotes the set of n × n matrices
(a) Suppose that A Є Mn(K) is an invertible matrix. Is it always true that A is
equivalent to A-¹? Justify your answer.
(b) Let B be given by
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0 -7 7
Working over the field F2 with 2 elements, compute the rank of B as an element
of M2(F2).
(c) Let
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-1 1
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and consider C as an element of M3(Q). Determine the minimal polynomial
mc(x) and hence, or otherwise, show that C can not be diagonalised.
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(d) Show that C in (c) considered as an element of M3(R) can be diagonalised. Write
down all the eigenvalues. Show your working.
[8]
16. Solve the given differential equation:
y" + 4y sin (t)u(t 2π),
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y(0) = 1, y'(0) = 0
Given,
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Chapter 12 Solutions
Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)
Ch. 12.1 - Solve: 0.82=x100Ch. 12.1 - Prob. 2LCCh. 12.1 - Automotive Trades The following bar graph shows...Ch. 12.1 - Trades Management The following graph shows the...Ch. 12.1 - General Interest The following double bar graph...Ch. 12.1 - General Interest The following stacked bar graph...Ch. 12.1 - Allied Health When Dr. Friedrich began working at...Ch. 12.1 - Automotive Trades The following line graph shows...Ch. 12.1 - Construction The following double-line graph...Ch. 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 - Construction Plot the following data as a double...Ch. 12.1 - General Interest The following table shows the...Ch. 12.1 - Automotive Trades The following table shows the...Ch. 12.1 - Trades Management The following table shows the...Ch. 12.1 - General Interest The following table shows, by...Ch. 12.1 - Agriculture The following table shows the price...Ch. 12.1 - Allied Health The following table shows the...Ch. 12.1 - General Interest The following data show the U.S....Ch. 12.1 - Fire Protection The following data show the number...Ch. 12.1 - General Interest The following table shows the...Ch. 12.1 - Hydrology The following table shows the daily...Ch. 12.1 - Business and Finance Plot a double broken-line...Ch. 12.1 - Electrical Engineering Plot the following data as...Ch. 12.1 - Water/Wastewater Treatment The following table...Ch. 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 average of these numbers: 6, 8, 12, 14Ch. 12.2 - What number is halfway between 12 and 15?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 - General Trades The U.S. Department of Labor...Ch. 12.2 - Forestry The following table shows both the total...Ch. 12.2 - Water/Wastewater Treatment The seven-day mean of...Ch. 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 - Meteorology The National Weather Service provides...Ch. 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. 12.3 - Calculate: 65 72.5Ch. 12.3 - Calculate: (2.5)2Ch. 12.3 - Prob. 1AECh. 12.3 - Prob. 2AECh. 12.3 - Prob. 3AECh. 12.3 - Calculate the range and the standard deviation for...Ch. 12.3 - Prob. 5AECh. 12.3 - Calculate the range and the standard deviation for...Ch. 12.3 - Prob. 7AECh. 12.3 - Prob. 8AECh. 12.3 - Prob. 1BECh. 12.3 - Prob. 2BECh. 12.3 - Prob. 3BECh. 12.3 - Calculate the standard deviation of the grouped...Ch. 12.3 - Prob. 1CECh. 12.3 - For each set of data, (a) calculate the standard...Ch. 12.3 - Prob. 1DECh. 12.3 - For each set of data, (a) calculate the standard...Ch. 12.3 - Prob. 1EECh. 12.3 - Prob. 2EECh. 12.3 - Prob. 3EECh. 12.3 - Prob. 4EECh. 12.3 - Prob. 5EECh. 12.3 - Prob. 6EECh. 12.3 - Prob. 7EECh. 12.3 - Prob. 8EECh. 12.3 - Prob. 9EECh. 12.3 - Prob. 10EECh. 12.3 - Prob. 11EECh. 12.3 - Prob. 12EECh. 12.3 - Prob. 13EECh. 12.3 - Automotive Trades In testing the acceleration from...Ch. 12 - Read bar graphs, line graphs, and circle graphs....Ch. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 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 - How many grams of fat are contained in a Peanut...Ch. 12 - How many grams of sugar are contained in a...Ch. 12 - How many grams of fat would you consume if you ate...Ch. 12 - How many grams of sugar would you consume if you...Ch. 12 - How many more grams of fat are in two Caramel...Ch. 12 - How many more grams of sugar are in three Peanut...Ch. 12 - Which cookie appears to be the healthiest (as...Ch. 12 - Which cookie appears to be the least healthy (as...Ch. 12 - By what percent does the amount of fat in a...Ch. 12 - By what percent does the amount of sugar in a...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 - 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 - Graph IV Automotive Trades What was the cost per...Ch. 12 - Graph IV Automotive Trades When was the next time...Ch. 12 - Graph IV Automotive Trades During which time...Ch. 12 - Graph IV Automotive Trades During which time...Ch. 12 - Graph IV Automotive Trades What was the difference...Ch. 12 - Graph IV Automotive Trades By what percent did the...Ch. 12 - Graph IV Automotive Trades How much more did it...Ch. 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 - General Interest The following table shows the...Ch. 12 - Prob. 3BPSCh. 12 - Prob. 4BPSCh. 12 - Prob. 5BPSCh. 12 - Prob. 6BPSCh. 12 - Metalworking Construct a circle graph based on the...Ch. 12 - Fire Protection Construct a circle graph based on...Ch. 12 - General Interest Students in a community college...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 - 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 - D. Calculate (a) the range and (b) the standard...Ch. 12 - D. Calculate (a) the range and (b) the standard...Ch. 12 - Prob. 3DPSCh. 12 - Prob. 4DPSCh. 12 - E. Calculate the mean and the standard deviation...Ch. 12 - Prob. 2EPSCh. 12 - Prob. 1FPSCh. 12 - Meteorology The following table shows the average...Ch. 12 - Agriculture The following data from the United...Ch. 12 - Industrial Technology The Energy Information...Ch. 12 - Police Science To determine the speed that a...Ch. 12 - Agriculture The following list of numbers...Ch. 12 - Sheet Metal Trades The following data represent...Ch. 12 - Prob. 8FPSCh. 12 - Prob. 9FPS
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- Question 5 (a) Let a, b, c, d, e, ƒ Є K where K is a field. Suppose that the determinant of the matrix a cl |df equals 3 and the determinant of determinant of the matrix a+3b cl d+3e f ГЪ e [ c ] equals 2. Compute the [5] (b) Calculate the adjugate Adj (A) of the 2 × 2 matrix [1 2 A = over R. (c) Working over the field F3 with 3 elements, use row and column operations to put the matrix [6] 0123] A = 3210 into canonical form for equivalence and write down the canonical form. What is the rank of A as a matrix over F3? 4arrow_forwardQuestion 2 In this question, V = Q4 and - U = {(x, y, z, w) EV | x+y2w+ z = 0}, W = {(x, y, z, w) € V | x − 2y + w − z = 0}, Z = {(x, y, z, w) € V | xyzw = 0}. (a) Determine which of U, W, Z are subspaces of V. Justify your answers. (b) Show that UW is a subspace of V and determine its dimension. (c) Is VU+W? Is V = UW? Justify your answers. [10] [7] '00'arrow_forwardGood explanation it sure experts solve itarrow_forward
- Best explains it not need guidelines okkarrow_forwardTask number: A1.1, A1.7 Topic: Celestial Navigation, Compass - Magnetic and Gyro Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic compass. Minimum number of times that activity should be recorded: 6 (2 each phase) Sample calculation (Azimuth- Planets): On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing 327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation. GHA Mars (06d 22h): Increment (20m 10s): 089° 55.7' 005° 02.5' v (0.9): (+) 00.3' GHA Mars: 094° 58.5' Longitude (E): (+) 050° 00.0' (plus- since longitude is easterly) LHA Mars: 144° 58.5' Declination (06d 22h): d (0.2): N 024° 18.6' (-) 00.1' Declination Mars: N 024° 18.5' P=144° 58.5' (If LHA<180°, P=LHA) A Tan Latitude/ Tan P A Tan 48° 00' Tan 144° 58.5' A = 1.584646985 N (A is named opposite to latitude, except when…arrow_forwardTask number: A1.1, A1.7 Topic: Celestial Navigation, Compass - Magnetic and Gyro Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic compass. Minimum number of times that activity should be recorded: 6 (2 each phase) Sample calculation (Azimuth- Planets): On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing 327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation. GHA Mars (06d 22h): Increment (20m 10s): 089° 55.7' 005° 02.5' v (0.9): (+) 00.3' GHA Mars: 094° 58.5' Longitude (E): (+) 050° 00.0' (plus- since longitude is easterly) LHA Mars: 144° 58.5' Declination (06d 22h): d (0.2): N 024° 18.6' (-) 00.1' Declination Mars: N 024° 18.5' P=144° 58.5' (If LHA<180°, P=LHA) A Tan Latitude/ Tan P A Tan 48° 00' Tan 144° 58.5' A = 1.584646985 N (A is named opposite to latitude, except when…arrow_forward
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