Explanation Theorem used: Theorem 1: Exponent Properties. For n and m integers and a and b real numbers, 1. a m a n = a m + n 2. ( a n ) m = a m n 3. ( a b ) m = a m b m 4. ( a b ) m = a m b m b ≠ 0 5. a m a n = a m − n or 1 a n − m a ≠ 0 Calculation: The given expression is 3 c − 9 c 4 . Use the Theorem 1 property 1, the expression 3 c − 9 c 4 can be written as follows

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Chapter A.5, Problem 6E

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To express: The expression 3c−9c4 and express answer using the positive exponent only.

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Chapter A.5, Problem 5E

Chapter A.5, Problem 7E

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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…

Chapter A.5 Solutions

EP CALCULUS FOR BUSINESS..-MYLAB ACCESS

Ch. A.5 - Simplify, and express the answers using positive...Ch. A.5 - Prob. 2MP Ch. A.5 - (A)Write each number in scientific notation:...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 2E Ch. A.5 - Prob. 3E Ch. A.5 - Prob. 4E Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 6E Ch. A.5 - Prob. 7E

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To express: The expression 3 c − 9 c 4 and express answer using the positive exponent only.

Solution Summary: The author explains the positive exponent form of the expression 3c-94, which can be written using the Theorem 1 property.

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To express: The expression 3c−9c4 and express answer using the positive exponent only.

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Chapter A.5 Solutions