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A farmer can produce $f(x,y) = 200\sqrt{4x^2 + y^2}$ units of produce by utilizing x units of labor and y units of capital. (a) Calculate the marginal productivities of labor and capital when $x = 12$ and $y = 7$. (b) Let h be a small number. Use the result of part (a) to determine the approximate effect on production of changing labor from 12 to $12 + h$ units while keeping capital fixed at 7 units. (c) Use part (b) to estimate the change in production when labor decreases from 12 to 11.5 units and capital stays fixed at 7 units.

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Which of the following statements regarding globalization is not true: Wages are mostly determined by productivity. Globalization has increased the wages of workers in the United States without a college degree and helped to reduce income inequality. The United States is one of many countries that has had an increase in international trade over the past few decades. Globalization increases the variety of goods available to consumers.

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What is the weight (in N) of a 43 kg object? Your Answer:

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explain how memories are created and why two people experiencing the same event may form different memories.

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Solve the system using a graphing calculator. Round your answer to the tenths place. -3x + 7y = 52.5 2x - 5y = -39.5 The solution is ( , )

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It takes 18.5 kJ of energy to raise the temperature of 125 g of a substance from 25.0°C to 75.0°C. What is the specific heat of this substance? 5.41 J/(g°C) 2.96 J/(g°C) 3.48 J/(g°C) 1.10 J/(g°C)

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4. [30] Assume there are five processes, P1 through P5 and four resources: R1 (6 instances), R2 (7 instances), R3 (14 instances), R4 (12 instances). Available: R1: 2, R2: 1, R3: 2, R4: 0 Allocation Max Need Process R1 R2 R3 R4 R1 R2 R3 R4 R1 R2 R3 R4 P1 0 0 1 2 0 0 3 2 0 0 2 0 P2 2 0 0 0 2 7 5 0 0 7 5 0 P3 0 0 3 4 6 6 5 6 6 6 2 2 P4 2 3 5 4 4 3 5 6 2 0 0 2 P5 0 3 3 2 0 6 5 2 0 3 2 0 (a) Is this system currently deadlocked, or can any process become deadlocked? Why or why not? If not deadlocked, give an execution order. (b) If a request from a process P1 arrives for (0, 4, 2, 0), can the request be immediately granted? Why or why not? If yes, show an execution order. (c) If a request from a process P2 arrives for (0, 1, 2, 0), can the request be immediately granted? Why or why not? If yes, show an execution order.

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Sketch the vectors and give the magnitudes 1) u =< 3, -2 > 2) v =< 1, 5 >

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6. A portfolio has $100,000 invested in Stock A and $200,000 invested in Stock B. If the expected returns on these stocks are 10 percent and five percent, respectively, what is the expected return on this portfolio? A. 5.5556 percent. B. 6.6667 percent. C. 7.5 percent. D. 8.3333 percent. E. 8.8889 percent.

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QUESTION 7 You can only share files using tree structure organization of directories. True False

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cristian l.