To determine To Calculate: The equivalent logarithmic statement of the given exponential statement e 3.2189 = 25 . Explanation Given: The equation as, e 3.2189 = 25 . Formula used: A logarithmic form of the function x = a y can be written as, y = log a x Calculation: Thus, by using the above result, e 3

Pearson eText for Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)

12th Edition

ISBN: 9780137504381

Author: Margaret Lial, Thomas Hungerford

Publisher: PEARSON+

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Chapter 4.3, Problem 10E

To determine

To Calculate: The equivalent logarithmic statement of the given exponential statement e3.2189=25.

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Chapter 4.3, Problem 9E

Chapter 4.3, Problem 11E

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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 4 Solutions

Pearson eText for Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)

Ch. 4.1 - Checkpoint 1 (a) Fill in this table: x g(x) =...Ch. 4.1 - Prob. 2CP Ch. 4.1 - Checkpoint 3 Use a graphing calculator to graph ...Ch. 4.1 - Prob. 4CP Ch. 4.1 - Checkpoint 5 Graph Ch. 4.1 - Prob. 6CP Ch. 4.1 - Checkpoint 7 Per-person wine consumption (in...Ch. 4.1 - Classify each function as linear, quadratic, or...Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E

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