EBK MATHEMATICS FOR THE TRADES
11th Edition
ISBN: 8220106960455
Author: CARMAN
Publisher: PEARSON
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Chapter 11, Problem 4BPS
B. Solve each of the following
4x2 = 3x + 2
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Prove Harriot's Formula (Area of a Triangle on a Sphere).
6.
(i)
Sketch the trace of the following curve on R²,
(t) = (sin(t), 3 sin(t)),
tЄ [0, π].
[3 Marks]
Total marks 10
(ii)
Find the length of this curve.
[7 Marks]
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Chapter 11 Solutions
EBK MATHEMATICS FOR THE TRADES
Ch. 11.1 - Simplify: 2(3 + 2y) 3yCh. 11.1 - Prob. 2LCCh. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 5AECh. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 7AECh. 11.1 - Solve each of the following systems of equations...
Ch. 11.1 - Prob. 1BECh. 11.1 - Solve each of the following systems of equations....Ch. 11.1 - Prob. 3BECh. 11.1 - Prob. 4BECh. 11.1 - Prob. 5BECh. 11.1 - Solve each of the following systems of equations....Ch. 11.1 - Prob. 7BECh. 11.1 - Prob. 8BECh. 11.1 - Solve each of the following systems of equations....Ch. 11.1 - Prob. 10BECh. 11.1 - Prob. 11BECh. 11.1 - Prob. 12BECh. 11.1 - Prob. 1CECh. 11.1 - Prob. 2CECh. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - Prob. 5CECh. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - Prob. 9CECh. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.1 - Prob. 14CECh. 11.1 - C. Word Problems Translate each problem statement...Ch. 11.2 - True or false: 52 = ( 5)2Ch. 11.2 - Prob. 2LCCh. 11.2 - Which of the following are quadratic equations? 5x...Ch. 11.2 - Which of the following are quadratic equations? 2x...Ch. 11.2 - Which of the following are quadratic equations?...Ch. 11.2 - Prob. 4AECh. 11.2 - Prob. 5AECh. 11.2 - Prob. 6AECh. 11.2 - Prob. 7AECh. 11.2 - Prob. 8AECh. 11.2 - Prob. 9AECh. 11.2 - Prob. 10AECh. 11.2 - Prob. 1BECh. 11.2 - Solve each of these quadratic equations. (Round to...Ch. 11.2 - Solve each of these quadratic equations. (Round to...Ch. 11.2 - Solve each of these quadratic equations. (Round to...Ch. 11.2 - Prob. 5BECh. 11.2 - Prob. 6BECh. 11.2 - Prob. 7BECh. 11.2 - B. Solve each of these quadratic equations. (Round...Ch. 11.2 - Prob. 9BECh. 11.2 - Solve each of these quadratic equations. (Round to...Ch. 11.2 - Solve each of these quadratic equations. (Round to...Ch. 11.2 - B. Solve each of these quadratic equations. (Round...Ch. 11.2 - B. Solve each of these quadratic equations. (Round...Ch. 11.2 - B. Solve each of these quadratic equations. (Round...Ch. 11.2 - Prob. 15BECh. 11.2 - B. Solve each of these quadratic equations. (Round...Ch. 11.2 - Prob. 17BECh. 11.2 - Prob. 18BECh. 11.2 - Prob. 19BECh. 11.2 - B. Solve each of these quadratic equations. (Round...Ch. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - Prob. 3CECh. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - Prob. 5CECh. 11.2 - Prob. 6CECh. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - Prob. 11CECh. 11.2 - Prob. 12CECh. 11.2 - Prob. 13CECh. 11.2 - Prob. 14CECh. 11.2 - Prob. 15CECh. 11.2 - Prob. 16CECh. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11.2 - C. Practical Applications. (Round to the nearest...Ch. 11 - Solve a system of two linear equations two...Ch. 11 - Prob. 2PCh. 11 - Solve quadratic equations. (a) x2 = 16 (b) x2 7x...Ch. 11 - Prob. 4PCh. 11 - Prob. 1APSCh. 11 - A. Solve each of the following systems of...Ch. 11 - A. Solve each of the following systems of...Ch. 11 - A. Solve each of the following systems of...Ch. 11 - A. Solve each of the following systems of...Ch. 11 - A. Solve each of the following systems of...Ch. 11 - A. Solve each of the following systems of...Ch. 11 - A. Solve each of the following systems of...Ch. 11 - A. Solve each of the following systems of...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - B. Solve each of the following quadratic...Ch. 11 - Prob. 1CPSCh. 11 - C. Practical Applications The area of a square is...Ch. 11 - Prob. 3CPSCh. 11 - Practical Applications For each of the following,...Ch. 11 - Practical Applications For each of the following,...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - Practical Applications For each of the following,...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - Prob. 12CPSCh. 11 - C. Practical Applications. For each of the...Ch. 11 - For each of the following, set up either a system...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - C. Practical Applications. For each of the...Ch. 11 - Prob. 19CPSCh. 11 - Prob. 20CPSCh. 11 - C. Practical Applications. For each of the...Ch. 11 - C. Practical Applications. For each of the...
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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]arrow_forward6. 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]arrow_forwardTotal 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]arrow_forward
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