Explanation Given: The provided graph of the rate of use of electrical energy in a certain city on a very hot day as, Formula used: Area of the rectangle as, A = ( length ) × ( width ) ∫ a b f ( x ) dx = lim n → ∞ ( f ( x 1 ) × Δ x + f ( x 2 ) × Δ x + f ( x 3 ) × Δ x + ... + f ( x n ) × Δ x ) w h e r e , Δ x= b − a n Calculation: The width of each rectangle is 2 . The height of each rectangle is f ( x i ) that is shown in the below table, The value of the height of each rectangle is shown below in the table, S. No Time ( x i ) Height of rectangle f ( x i ) 1 x 1 = 12 a .m . f ( x 1 ) = 2.8 2 x 2 = 2 a .m . f ( x 2 ) = 3 3 x 3 = 4 a .m . f ( x 3 ) = 3.5 4 x 4 = 6 a .m . f ( x 4 ) = 4 5 x 5 = 8 a .m . f ( x 5 ) = 5 6 x 6 = 10 a .m . f ( x 6 ) = 6 7 x 7 = 12 p .m . f ( x 7 ) = 8 8 x 8 = 2 p

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ISBN: 9780134776323

Author: MULLINS

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 13.4, Problem 1E

To determine

To calculate: Total usage of electricity on the provided day.

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Chapter 13.4, Problem 3CP

Chapter 13.4, Problem 2E

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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 13 Solutions

EBK MATHEMATICS WITH APPLICATIONS IN TH

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