MATHEMATICS FOR THE TRADES MYMATHLAB AC
11th Edition
ISBN: 9780135902028
Author: SAUNDERS
Publisher: PEARSON
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Textbook Question
Chapter 1.1, Problem 17AE
Round as indicated.
357 to the nearest ten
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7.
Let F(x1, x2) (F₁(x1, x2), F2(x1, x2)), where
=
X2
F1(x1, x2)
X1
F2(x1, x2)
x+x
(i) Using the definition, calculate the integral
LF.dy,
where (t) = (cos(t), sin(t)) and t = [0,2].
[5 Marks]
(ii) Explain why Green's Theorem cannot be used to find the
integral in part (i).
[5 Marks]
6.
Sketch the trace of the following curve on R²,
п 3п
(t) = (t2 sin(t), t2 cos(t)),
tЄ
22
[3 Marks]
Find the length of this curve.
[7 Marks]
Total marks 10
Total marks
on
naner: 80
7.
Let DCR2 be a bounded domain with the boundary OD which can be
represented as a smooth closed curve : [a, b] R2, oriented in the anticlock-
wise direction.
Use Green's Theorem to justify that the area of the domain D
can be computed by the formula
1
Area(D)
=
½ (−y, x) · dy.
[5 Marks]
(ii) Use the area formula in (i) to find the area of the domain D
enclosed by the ellipse
y(t) = (10 cos(t), 5 sin(t)),
t = [0,2π].
[5 Marks]
Chapter 1 Solutions
MATHEMATICS FOR THE TRADES MYMATHLAB AC
Ch. 1.1 - Write in numerical form: two hundred six thousand,...Ch. 1.1 - Round the number in problem 1 to the nearest...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...
Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Reading, Writing, and Rounding Whole Numbers Write...Ch. 1.1 - Write as numbers. Three thousand, sixCh. 1.1 - Write as numbers. Seventeen thousand, twenty-fourCh. 1.1 - Write as numbers. Eleven thousand, one hundredCh. 1.1 - Write as numbers. Three million, two thousand,...Ch. 1.1 - Write as numbers. Four million, forty thousand,...Ch. 1.1 - Prob. 16AECh. 1.1 - Round as indicated. 357 to the nearest tenCh. 1.1 - Round as indicated. 4386 to the nearest hundredCh. 1.1 - Round as indicated. 4386 to the nearest thousandCh. 1.1 - Round as indicated. 15,472 to the nearest thousandCh. 1.1 - Round as indicated. 225,799 to the nearest ten...Ch. 1.1 - Round as indicated. 32,408,792 to the nearest...Ch. 1.1 - Add. 4722_Ch. 1.1 - Add. 2731_Ch. 1.1 - Add. 4535_Ch. 1.1 - Add. 3855_Ch. 1.1 - Add. 7548_Ch. 1.1 - Add. 2698_Ch. 1.1 - Add. 4884_Ch. 1.1 - Add. 6769_Ch. 1.1 - Add. 74759_Ch. 1.1 - Add. 50895_Ch. 1.1 - Prob. 11BECh. 1.1 - Add. 432399_Ch. 1.1 - Add. 621388_Ch. 1.1 - Add. 189204_Ch. 1.1 - Add. 375486_Ch. 1.1 - Add. 4237288_Ch. 1.1 - Prob. 17BECh. 1.1 - Prob. 18BECh. 1.1 - Add. 37857643_Ch. 1.1 - Prob. 20BECh. 1.1 - Add. 10674397_Ch. 1.1 - Add. 400267085_Ch. 1.1 - Prob. 23BECh. 1.1 - Add. 198764835_Ch. 1.1 - Add. 7804497684_Ch. 1.1 - Prob. 26BECh. 1.1 - Add. 581824433_Ch. 1.1 - Prob. 28BECh. 1.1 - Prob. 29BECh. 1.1 - B. Add.Ch. 1.1 - C. Arrange vertically and find the sum. 487 + 29 +...Ch. 1.1 - Prob. 2CECh. 1.1 - C. Arrange vertically and find the sum. 322 + 46 +...Ch. 1.1 - C. Arrange vertically and find the sum. 7268 + 209...Ch. 1.1 - Prob. 5CECh. 1.1 - C. Arrange vertically and find the sum. 715 + 4293...Ch. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - Prob. 11CECh. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - Prob. 13CECh. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - Prob. 15CECh. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - Prob. 19CECh. 1.1 - C. Arrange vertically and find the sum....Ch. 1.1 - D. Practical Applications. Electrical Trades In...Ch. 1.1 - D. Practical Applications. Flooring and Carpeting...Ch. 1.1 - D. Practical Applications. Machine Trades The...Ch. 1.1 - D. Practical Applications. Trades Management In...Ch. 1.1 - D. Practical Applications. Trades Management The...Ch. 1.1 - D. Practical Applications. Roofing On a home...Ch. 1.1 - Prob. 7DECh. 1.1 - D. Practical Applications. Automotive Trades A...Ch. 1.1 - D. Practical Applications. Construction The Happy...Ch. 1.1 - D. Practical Applications. Machine Trades A...Ch. 1.1 - D. Practical Applications. Landscaping A new...Ch. 1.1 - Prob. 12DECh. 1.1 - D. Practical Applications. Electronics When...Ch. 1.1 - Prob. 14DECh. 1.1 - Prob. 15DECh. 1.1 - D. Practical Applications. Allied Health The...Ch. 1.1 - D. Practical Applications. Construction For...Ch. 1.1 - D. Practical Applications. Automotive Trades The...Ch. 1.1 - D. Practical Applications. Sports and Leisure In...Ch. 1.1 - Prob. 1EECh. 1.1 - E. Calculator Problems You probably own a...Ch. 1.1 - E. Calculator Problems You probably own a...Ch. 1.1 - E. Calculator Problems You probably own a...Ch. 1.1 - E. Calculator Problems You probably own a...Ch. 1.2 - Do the following without using a calculator: Add:...Ch. 1.2 - Do the following without using a calculator:...Ch. 1.2 - Subtract. 427_Ch. 1.2 - Prob. 2AECh. 1.2 - Subtract. 349_Ch. 1.2 - Prob. 4AECh. 1.2 - Prob. 5AECh. 1.2 - Prob. 6AECh. 1.2 - Prob. 7AECh. 1.2 - Subtract. 9622_Ch. 1.2 - Prob. 9AECh. 1.2 - Prob. 10AECh. 1.2 - Prob. 11AECh. 1.2 - Subtract. 3617_Ch. 1.2 - Prob. 13AECh. 1.2 - Subtract. 5216_Ch. 1.2 - Subtract. 6527_Ch. 1.2 - Prob. 16AECh. 1.2 - Prob. 17AECh. 1.2 - Subtract. 7048_Ch. 1.2 - Subtract. 349_Ch. 1.2 - Prob. 20AECh. 1.2 - Subtract. 546357_Ch. 1.2 - Prob. 22AECh. 1.2 - Prob. 23AECh. 1.2 - Prob. 24AECh. 1.2 - Prob. 25AECh. 1.2 - Prob. 26AECh. 1.2 - Prob. 27AECh. 1.2 - Prob. 28AECh. 1.2 - Prob. 29AECh. 1.2 - Prob. 30AECh. 1.2 - Prob. 31AECh. 1.2 - Prob. 32AECh. 1.2 - Prob. 33AECh. 1.2 - Prob. 34AECh. 1.2 - Subtract. 5007266_Ch. 1.2 - Prob. 36AECh. 1.2 - Prob. 37AECh. 1.2 - Prob. 38AECh. 1.2 - Prob. 1BECh. 1.2 - Prob. 2BECh. 1.2 - Prob. 3BECh. 1.2 - Prob. 4BECh. 1.2 - Prob. 5BECh. 1.2 - Prob. 6BECh. 1.2 - Prob. 7BECh. 1.2 - Prob. 8BECh. 1.2 - B. Practical Applications Automotive Trades A...Ch. 1.2 - B. Practical Applications Construction A truck...Ch. 1.2 - Prob. 11BECh. 1.2 - Prob. 12BECh. 1.2 - Prob. 13BECh. 1.2 - Prob. 14BECh. 1.2 - B Practical Applications Electronics An electronic...Ch. 1.2 - B Practical Applications Automotive Trades A set...Ch. 1.2 - Prob. 17BECh. 1.2 - B Practical Applications General Interest The...Ch. 1.2 - B Practical Applications Life Skills A potential...Ch. 1.2 - C. Calculator Problems Plumbing The Karroll...Ch. 1.2 - C. Calculator Problems Which sum is greater?Ch. 1.2 - C. Calculator Problems Trades Management If an...Ch. 1.2 - C. Calculator Problems Trades Management The...Ch. 1.2 - C. Calculator Problems Life Skills Balance the...Ch. 1.2 - C. Calculator Problems Construction A water meter...Ch. 1.3 - Subtract: 572286Ch. 1.3 - Multiply: 69Ch. 1.3 - Prob. 1AECh. 1.3 - Multiply. 78_Ch. 1.3 - Prob. 3AECh. 1.3 - Prob. 4AECh. 1.3 - Prob. 5AECh. 1.3 - Prob. 6AECh. 1.3 - Prob. 7AECh. 1.3 - Prob. 8AECh. 1.3 - Prob. 9AECh. 1.3 - Prob. 10AECh. 1.3 - Prob. 11AECh. 1.3 - Prob. 12AECh. 1.3 - Prob. 13AECh. 1.3 - Prob. 14AECh. 1.3 - Prob. 15AECh. 1.3 - Prob. 16AECh. 1.3 - Prob. 17AECh. 1.3 - Prob. 18AECh. 1.3 - Prob. 19AECh. 1.3 - Prob. 20AECh. 1.3 - Prob. 21AECh. 1.3 - Prob. 22AECh. 1.3 - Multiply. 7211_Ch. 1.3 - Prob. 24AECh. 1.3 - Prob. 25AECh. 1.3 - Prob. 26AECh. 1.3 - Prob. 27AECh. 1.3 - Prob. 28AECh. 1.3 - Prob. 29AECh. 1.3 - Prob. 30AECh. 1.3 - Prob. 31AECh. 1.3 - Multiply. 6625_Ch. 1.3 - Prob. 33AECh. 1.3 - Prob. 34AECh. 1.3 - Prob. 35AECh. 1.3 - Prob. 36AECh. 1.3 - Prob. 1BECh. 1.3 - Multiply. 6097_Ch. 1.3 - Prob. 3BECh. 1.3 - Prob. 4BECh. 1.3 - Prob. 5BECh. 1.3 - Prob. 6BECh. 1.3 - Prob. 7BECh. 1.3 - Prob. 8BECh. 1.3 - Prob. 9BECh. 1.3 - Prob. 10BECh. 1.3 - Prob. 11BECh. 1.3 - Prob. 12BECh. 1.3 - Prob. 13BECh. 1.3 - Multiply. 542600_Ch. 1.3 - Multiply. 7009504_Ch. 1.3 - Prob. 16BECh. 1.3 - Prob. 17BECh. 1.3 - Prob. 18BECh. 1.3 - Prob. 19BECh. 1.3 - Prob. 20BECh. 1.3 - Prob. 1CECh. 1.3 - Prob. 2CECh. 1.3 - Prob. 3CECh. 1.3 - Prob. 4CECh. 1.3 - Prob. 5CECh. 1.3 - Prob. 6CECh. 1.3 - Prob. 7CECh. 1.3 - Practical Applications Construction What is the...Ch. 1.3 - Prob. 9CECh. 1.3 - Prob. 10CECh. 1.3 - Prob. 11CECh. 1.3 - Prob. 12CECh. 1.3 - Practical Applications Machine Trades If a machine...Ch. 1.3 - C. Practical Applications Electronics For a...Ch. 1.3 - C. Practical Applications Roofing In the Happy...Ch. 1.3 - C. Practical Applications Electronics A 78-ohm...Ch. 1.3 - Prob. 17CECh. 1.3 - Prob. 18CECh. 1.3 - Prob. 19CECh. 1.3 - Prob. 20CECh. 1.3 - Prob. 21CECh. 1.3 - Prob. 22CECh. 1.3 - Prob. 23CECh. 1.3 - Prob. 24CECh. 1.3 - Prob. 25CECh. 1.3 - Prob. 26CECh. 1.3 - Water/Wastewater Treatment A rural water district...Ch. 1.3 - Prob. 28CECh. 1.3 - Prob. 29CECh. 1.3 - Calculator Problems Business and Finance If an...Ch. 1.3 - Prob. 2DECh. 1.3 - Prob. 3DECh. 1.3 - Prob. 4DECh. 1.3 - Prob. 5DECh. 1.3 - Prob. 6DECh. 1.4 - Multiply: 3845Ch. 1.4 - Prob. 2LCCh. 1.4 - A. Divide. 63 7Ch. 1.4 - Prob. 2AECh. 1.4 - Prob. 3AECh. 1.4 - Prob. 4AECh. 1.4 - A. Divide. 54 9Ch. 1.4 - Prob. 6AECh. 1.4 - A. Divide. 725Ch. 1.4 - Prob. 8AECh. 1.4 - Prob. 9AECh. 1.4 - Prob. 10AECh. 1.4 - Prob. 11AECh. 1.4 - Prob. 12AECh. 1.4 - Prob. 13AECh. 1.4 - Prob. 14AECh. 1.4 - A. Divide. 14767Ch. 1.4 - A. Divide. 7364Ch. 1.4 - Prob. 17AECh. 1.4 - A. Divide. 42018Ch. 1.4 - A. Divide. 92000Ch. 1.4 - A. Divide. 71000Ch. 1.4 - A. Divide. 73507Ch. 1.4 - Prob. 22AECh. 1.4 - Prob. 23AECh. 1.4 - Prob. 24AECh. 1.4 - Divide. 322 14Ch. 1.4 - Prob. 2BECh. 1.4 - Prob. 3BECh. 1.4 - Prob. 4BECh. 1.4 - Prob. 5BECh. 1.4 - Prob. 6BECh. 1.4 - Prob. 7BECh. 1.4 - Prob. 8BECh. 1.4 - B. Divide. 42371Ch. 1.4 - Prob. 10BECh. 1.4 - Prob. 11BECh. 1.4 - Prob. 12BECh. 1.4 - Prob. 13BECh. 1.4 - B. Divide. 2400 75Ch. 1.4 - Prob. 15BECh. 1.4 - Prob. 16BECh. 1.4 - Prob. 17BECh. 1.4 - Prob. 18BECh. 1.4 - Prob. 19BECh. 1.4 - B. Divide. 4794425Ch. 1.4 - Prob. 21BECh. 1.4 - B. Divide. 23114091Ch. 1.4 - Prob. 23BECh. 1.4 - Prob. 24BECh. 1.4 - Prob. 25BECh. 1.4 - Prob. 26BECh. 1.4 - Prob. 27BECh. 1.4 - Prob. 28BECh. 1.4 - Prob. 29BECh. 1.4 - C. For each of the following whole numbers, (a)...Ch. 1.4 - Prob. 2CECh. 1.4 - Prob. 3CECh. 1.4 - Prob. 4CECh. 1.4 - Prob. 5CECh. 1.4 - C. For each of the following whole numbers, (a)...Ch. 1.4 - D. Applied Problems Machine Trades A machinist has...Ch. 1.4 - Prob. 2DECh. 1.4 - Prob. 3DECh. 1.4 - Prob. 4DECh. 1.4 - Prob. 5DECh. 1.4 - Prob. 6DECh. 1.4 - Prob. 7DECh. 1.4 - Prob. 8DECh. 1.4 - Prob. 9DECh. 1.4 - D. Applied Problems Transportation A delivery...Ch. 1.4 - D. Applied Problems Automotive Trades A mechanic...Ch. 1.4 - D. Applied Problems Metalworking One cubic foot of...Ch. 1.4 - D. Applied Problems Printing A printer needs...Ch. 1.4 - D. Applied Problems Water/Wastewater Treatment A...Ch. 1.4 - D. Applied Problems HVAC A geothermal heat pump...Ch. 1.4 - Prob. 16DECh. 1.4 - D. Applied Problems HVAC A family wants to replace...Ch. 1.4 - D. Applied Problems Agriculture Barley weighs 48...Ch. 1.4 - D. Applied Problems Water/Wastewater Treatment A...Ch. 1.4 - D. Applied Problems Electrical Trades A...Ch. 1.4 - D. Applied Problems Carpentry Each 8-foot length...Ch. 1.4 - D. Applied Problems Automotive Trades The...Ch. 1.4 - E. Calculator Problems Calculate the following....Ch. 1.4 - Prob. 2EECh. 1.4 - Prob. 3EECh. 1.4 - Prob. 4EECh. 1.4 - Prob. 5EECh. 1.4 - E. Calculator Problems Painting Following are four...Ch. 1.4 - Prob. 7EECh. 1.5 - Divide 24768Ch. 1.5 - Calculate: 8 4 2Ch. 1.5 - Perform all operations in the correct order. 2 + 8...Ch. 1.5 - Prob. 2AECh. 1.5 - Perform all operations in the correct order. 40 ...Ch. 1.5 - Perform all operations in the correct order. 16 +...Ch. 1.5 - Prob. 5AECh. 1.5 - Prob. 6AECh. 1.5 - Prob. 7AECh. 1.5 - Perform all operations in the correct order. 64 ...Ch. 1.5 - Prob. 9AECh. 1.5 - Prob. 10AECh. 1.5 - Prob. 11AECh. 1.5 - Prob. 12AECh. 1.5 - Prob. 13AECh. 1.5 - Prob. 14AECh. 1.5 - Prob. 15AECh. 1.5 - Prob. 16AECh. 1.5 - Prob. 17AECh. 1.5 - Prob. 18AECh. 1.5 - Prob. 19AECh. 1.5 - Prob. 20AECh. 1.5 - Prob. 21AECh. 1.5 - Perform all operations in the correct order. 54 ...Ch. 1.5 - Perform all operations in the correct order. (4 3...Ch. 1.5 - Prob. 24AECh. 1.5 - Prob. 25AECh. 1.5 - Prob. 26AECh. 1.5 - Prob. 27AECh. 1.5 - Prob. 28AECh. 1.5 - Perform all operations in the correct order. 12 7...Ch. 1.5 - Prob. 30AECh. 1.5 - Prob. 31AECh. 1.5 - Prob. 32AECh. 1.5 - Prob. 33AECh. 1.5 - Prob. 34AECh. 1.5 - Prob. 35AECh. 1.5 - Prob. 36AECh. 1.5 - Prob. 37AECh. 1.5 - Prob. 38AECh. 1.5 - Prob. 39AECh. 1.5 - Prob. 40AECh. 1.5 - Painting A painter ordered 3 gallons of acrylic...Ch. 1.5 - Landscaping On a certain landscaping job, Steve...Ch. 1.5 - Prob. 3BECh. 1.5 - Prob. 4BECh. 1.5 - Prob. 5BECh. 1.5 - Prob. 6BECh. 1.5 - Prob. 7BECh. 1.5 - Prob. 8BECh. 1.5 - Prob. 9BECh. 1.5 - Prob. 10BECh. 1.5 - Prob. 11BECh. 1.5 - C. Calculator Problems 462 + 83 95Ch. 1.5 - Prob. 2CECh. 1.5 - Prob. 3CECh. 1.5 - Prob. 4CECh. 1.5 - Prob. 5CECh. 1.5 - Prob. 6CECh. 1.5 - Prob. 7CECh. 1.5 - Prob. 8CECh. 1.5 - Prob. 9CECh. 1.5 - Prob. 10CECh. 1.5 - C. Calculator Problems 864 16 27Ch. 1.5 - Prob. 12CECh. 1.5 - Prob. 13CECh. 1.5 - Prob. 14CECh. 1.5 - Prob. 15CECh. 1.5 - Prob. 16CECh. 1 - (a) Write whole numbers in words. (b) Write, in...Ch. 1 - Round whole numbers. Round 214,659 (a) to the...Ch. 1 - Add whole numbers. (a) 67 + 58 (b) 7009 + 1598Ch. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - Prob. 7PCh. 1 - Use the correct order of operations with addition,...Ch. 1 - Prob. 9PCh. 1 - A. Reading, Writing, and Rounding Whole Numbers...Ch. 1 - A. Reading, Writing, and Rounding Whole Numbers...Ch. 1 - Prob. 3APSCh. 1 - Prob. 4APSCh. 1 - Prob. 5APSCh. 1 - A. Reading, Writing, and Rounding Whole Numbers...Ch. 1 - Prob. 7APSCh. 1 - Prob. 8APSCh. 1 - Prob. 9APSCh. 1 - Prob. 10APSCh. 1 - Prob. 11APSCh. 1 - Prob. 12APSCh. 1 - Prob. 13APSCh. 1 - Prob. 14APSCh. 1 - Prob. 15APSCh. 1 - A. Reading, Writing, and Rounding Whole Numbers...Ch. 1 - A. Reading, Writing, and Rounding Whole Numbers...Ch. 1 - Prob. 18APSCh. 1 - Prob. 19APSCh. 1 - Prob. 20APSCh. 1 - Prob. 21APSCh. 1 - Prob. 1BPSCh. 1 - Prob. 2BPSCh. 1 - Prob. 3BPSCh. 1 - Prob. 4BPSCh. 1 - Prob. 5BPSCh. 1 - Prob. 6BPSCh. 1 - Prob. 7BPSCh. 1 - Prob. 8BPSCh. 1 - Prob. 9BPSCh. 1 - Prob. 10BPSCh. 1 - Prob. 11BPSCh. 1 - Prob. 12BPSCh. 1 - Perform the arithmetic as shown. 734 85Ch. 1 - Prob. 14BPSCh. 1 - Prob. 15BPSCh. 1 - Prob. 16BPSCh. 1 - Perform the arithmetic as shown. 376 4Ch. 1 - Prob. 18BPSCh. 1 - Prob. 19BPSCh. 1 - Prob. 20BPSCh. 1 - B. Perform the arithmetic as shown. 207 63Ch. 1 - B. Perform the arithmetic as shown. 314 926Ch. 1 - Prob. 23BPSCh. 1 - Prob. 24BPSCh. 1 - Prob. 25BPSCh. 1 - Prob. 26BPSCh. 1 - B. Perform the arithmetic as shown. 422394Ch. 1 - Prob. 28BPSCh. 1 - Prob. 29BPSCh. 1 - Prob. 30BPSCh. 1 - Prob. 31BPSCh. 1 - Prob. 32BPSCh. 1 - B. Perform the arithmetic as shown. 36911342Ch. 1 - Prob. 34BPSCh. 1 - Prob. 35BPSCh. 1 - B. Perform the arithmetic as shown. 32 4 + 16 2 ...Ch. 1 - Prob. 37BPSCh. 1 - Prob. 38BPSCh. 1 - Prob. 39BPSCh. 1 - Prob. 40BPSCh. 1 - Prob. 41BPSCh. 1 - Prob. 42BPSCh. 1 - C. For each of the following whole numbers, (a)...Ch. 1 - C. For each of the following whole numbers, (a)...Ch. 1 - C. For each of the following whole numbers, (a)...Ch. 1 - C. For each of the following whole numbers, (a)...Ch. 1 - C. For each of the following whole numbers, (a)...Ch. 1 - C. For each of the following whole numbers, (a)...Ch. 1 - D. Practical Applications Electrical Trades From a...Ch. 1 - D. Practical Applications Machine Trades A machine...Ch. 1 - D. Practical Applications Construction Find the...Ch. 1 - D. Practical Applications Allied Health A patient...Ch. 1 - D. Practical Applications Electrical Trades...Ch. 1 - D. Practical Applications Flooring and Carpeting...Ch. 1 - D. Practical Applications Construction The weights...Ch. 1 - Prob. 8DPSCh. 1 - Prob. 9DPSCh. 1 - D. Practical Applications Electronics The output...Ch. 1 - Prob. 11DPSCh. 1 - Prob. 12DPSCh. 1 - D. Practical Applications Fire Protection A fire...Ch. 1 - D. Practical Applications Construction A pile of...Ch. 1 - D. Practical Applications Marine Technology If the...Ch. 1 - D. Practical Applications Automotive Trades A rule...Ch. 1 - D. Practical Applications Machine Trades If it...Ch. 1 - Prob. 18DPSCh. 1 - D. Practical Applications Manufacturing A gallon...Ch. 1 - D. Practical Applications Office Services The Ace...Ch. 1 - D. Practical Applications Manufacturing At 8 A.M....Ch. 1 - D. Practical Applications Fire Protection The...Ch. 1 - D. Practical Applications Carpentry A fireplace...Ch. 1 - D. Practical Applications Electronics When...Ch. 1 - D. Practical Applications Trades Management RAD...Ch. 1 - D. Practical Applications Life Skills An...Ch. 1 - D. Practical Applications Office Services Use the...Ch. 1 - D. Practical Applications Life Skills Gorilla glue...Ch. 1 - D. Practical Applications Automotive Trades A 2017...Ch. 1 - D. Practical Applications Landscaping A landscape...Ch. 1 - Prob. 31DPSCh. 1 - D. Practical Applications Construction A...Ch. 1 - Prob. 33DPSCh. 1 - D. Practical Applications Carpentry A set of eight...Ch. 1 - Agriculture A bushel of oats weighs 32 lb. How...Ch. 1 - Prob. 36DPSCh. 1 - D. Practical Applications HVAC In designing a...
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- In rhombus ABCD, diagonals BD¯¯¯¯¯¯BD¯ and AC¯¯¯¯¯AC¯ intersect at point E. If BE = 4n – 3 and EC = 2n + 5, which expression can be used to represent AD?arrow_forwardNo chatgpt pls will upvotearrow_forwardLet 2 A = 4 3 -4 0 1 (a) Show that v = eigenvalue. () is an eigenvector of A and find the corresponding (b) Find the characteristic polynomial of A and factorise it. Hint: the answer to (a) may be useful. (c) Determine all eigenvalues of A and find bases for the corresponding eigenspaces. (d) Find an invertible matrix P and a diagonal matrix D such that P-¹AP = D.arrow_forward
- (c) Let 6 0 0 A = -10 4 8 5 1 2 (i) Find the characteristic polynomial of A and factorise it. (ii) Determine all eigenvalues of A and find bases for the corresponding eigenspaces. (iii) Is A diagonalisable? Give reasons for your answer.arrow_forwardDrapers' Bank offers loans and deposits with interest rate 5% compounded monthly. (a) If you deposit £5,000 in a Drapers' Bank account, how much money will be in your account 4 years from now? Enter your answer correct to the nearest pound. Answer: (b) What is the effective interest rate of a Drapers' Bank account? Enter your answer as a percentage correct to 3 significant digits. Answer: (c) Drapers' Bank gives you a loan of £60,000 to start a new company under the condition that you pay back the loan in monthly instalments of EC to be paid at the end of each month over the next 5 years, starting at the end of this month. Determine the value of C and enter it correct to the nearest pound. Answer:arrow_forwardmost 2, and let Let P2 denote the vector space of polynomials of degree at D: P2➡ P2 be the transformation that sends a polynomial p(t) = at² + bt+c in P2 to its derivative p'(t) 2at+b, that is, D(p) = p'. (a) Prove that D is a linear transformation. (b) Find a basis for the kernel ker(D) of the linear transformation D and compute its nullity. (c) Find a basis for the image im(D) of the linear transformation D and compute its rank. (d) Verify that the Rank-Nullity Theorem holds for the linear transformation D. (e) Find the matrix representation of D in the standard basis (1,t, t2) of P2.arrow_forward
- The Mason group has a liability of £200,000 to be paid in 14 years' time. It wants to Redington immunise these liabilities with assets consisting of amount P in a bank and Q 18-year zero coupon bonds, with P and Q to be determined. Interest is compounded monthly at rate 8%. (a) Answer: What is the present value of the liability? Enter your answer correct to the nearest pound. (b) What is the duration of the liability? Enter your answer correct to 3 significant digits. Answer: (c) What is the convexity of the liability? Enter your answer correct to 3 significant digits. Answer: (d) Write down the two equations that P and Q need to satisfy for Redington immunisation to hold and solve these equations for P and Q. Enter the answers correct to the nearest pound. Answers: P= Q= (e) What is the convexity of the assets in this case? Enter your answer correct to 3 significant digits. Answer: (f) Is the convexity condition that is necessary for Redington immunisation satisfied in this case?…arrow_forwardDr Fogg is quoted the following market prices VT for T-year unit zero-coupon bonds as well as the fair forward rate V3 = 0.95 and V9 = 0.7 f3.5 = 4%. (a) Determine the spot rate $3. Enter your answer as a percentage correct to 3 significant digits. Answer: (b) Answer: (c) Answer: (d) Determine the spot rate s9. Enter your answer as a percentage correct to 3 significant digits. Find the fair forward rate f3,9. Enter your answer as a percentage correct to 3 significant digits. Dr Fogg wants to sign a forward contract to buy 20kg of tea in 5 years' time. The current price of tea is £2.7 per kg. Find the fair forward price of this contract. Enter your answer correct to the nearest penny. Answer:arrow_forward(c) Let A = -1 3 -4 12 3 3 -9 (i) Find bases for row(A), col(A) and N(A). (ii) Determine the rank and nullity of A, and verify that the Rank-Nullity Theorem holds for the above matrix A.arrow_forward
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