Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)
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 11.2, Problem 8CE

C. Practical Applications. (Round to the nearest hundredth.)

Electrical Trades If P = RI2 for a direct current circuit, find I (current in amperes) if

  1. (a) The power (P) is 405 watts and the resistance (R) is 5 ohms.
  2. (b) The power is 800 watts and the resistance is 15 ohms.
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7. Show that for R sufficiently large, the polynomial P(z) in Example 3, Sec. 5, satisfies the inequality |P(z)| R. Suggestion: Observe that there is a positive number R such that the modulus of each quotient in inequality (9), Sec. 5, is less than |an|/n when |z| > R.
9. Establish the identity 1- 1+z+z² + 2n+1 ... +z" = 1- z (z1) and then use it to derive Lagrange's trigonometric identity: 1 1+ cos cos 20 +... + cos no = + 2 sin[(2n+1)0/2] 2 sin(0/2) (0 < 0 < 2л). Suggestion: As for the first identity, write S = 1+z+z² +...+z" and consider the difference S - zS. To derive the second identity, write z = eie in the first one.
8. Prove that two nonzero complex numbers z₁ and Z2 have the same moduli if and only if there are complex numbers c₁ and c₂ such that Z₁ = c₁C2 and Z2 = c1c2. Suggestion: Note that (i≤ exp (101+0) exp (01-02) and [see Exercise 2(b)] 2 02 Ꮎ - = = exp(i01) exp(101+0) exp (i 01 - 02 ) = exp(102). i 2 2

Chapter 11 Solutions

Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)

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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