11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Textbook Question

Chapter 10.2, Problem 48E

Find each product mentally:

( 8 x − 12 ) ( 2 x + 3 )

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Chapter 10.2, Problem 47E

Chapter 10.2, Problem 49E

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1. Abel's Theorem. The goal in this problem is to prove Abel's theorem by following a series of steps (each step must be justified). Theorem 0.1 (Abel's Theorem). If y1 and y2 are solutions of the differential equation y" + p(t) y′ + q(t) y = 0, where p and q are continuous on an open interval, then the Wronskian is given by W (¥1, v2)(t) = c exp(− [p(t) dt), where C is a constant that does not depend on t. Moreover, either W (y1, y2)(t) = 0 for every t in I or W (y1, y2)(t) = 0 for every t in I. 1. (a) From the two equations (which follow from the hypotheses), show that y" + p(t) y₁ + q(t) y₁ = 0 and y½ + p(t) y2 + q(t) y2 = 0, 2. (b) Observe that Hence, conclude that (YY2 - Y1 y2) + P(t) (y₁ Y2 - Y1 Y2) = 0. W'(y1, y2)(t) = yY2 - Y1 y2- W' + p(t) W = 0. 3. (c) Use the result from the previous step to complete the proof of the theorem.

eBook Print Item Question Content Area Support Department Cost Allocation—Reciprocal Services Method Blue Africa Inc. produces laptops and desktop computers. The company’s production activities mainly occur in what the company calls its Laser and Forming departments. The Cafeteria and Security departments support the company’s production activities and allocate costs based on the number of employees and square feet, respectively. The total cost of the Security Department is $261,000. The total cost of the Cafeteria Department is $300,000. The number of employees and the square footage in each department are as follows: Department Employees Square Feet Security 10 570 Cafeteria 28 2,400 Laser 40 4,800 Forming 50 800 Using the reciprocal services method of support department cost allocation, determine the total costs from the Security Department that should be allocated to…

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Chapter 10 Solutions

Elementary Technical Mathematics

Ch. 10.1 - Factor: 4a+4 Ch. 10.1 - Factor: 3x6 Ch. 10.1 - Factor: bx+by Ch. 10.1 - Factor: 918y Ch. 10.1 - Factor: 15b20 Ch. 10.1 - Factor: 12ab+30ac Ch. 10.1 - Factor: x27x Ch. 10.1 - Factor: 3x26x Ch. 10.1 - Factor: a24a Ch. 10.1 - Factor: 7xy21y

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Find each product mentally: ( 8 x − 12 ) ( 2 x + 3 )

Solution Summary: The author explains the FOIL method steps to find the product of two binomials.

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