Q37,Q39&Q49 neededNeeded to be solved correctly in 30 minutes and get the thumbs up please show neat and clean work for itBy hand solution needed for all three questions (a)(b)dx²dy²dz(37. Manufacturing Cost Let C(x) be the cost (in dollars) of man-ufacturing x bicycles per day in a certain factory. InterpretC(50) 5000 and C'(50) = 45.38. Estimate the cost of manufacturing 51 bicycles per day inExercise 37.39. A Revenue Function The revenue from producing (and selling)x units of a product is given by R(x) = 3x - .01x² dollars.(a) Find the marginal revenue at a production level of 20.(b) Find the production levels where the revenue is $200.40. Profit and Marginal Profit Let P(x) be the profit from produc-ing (and selling) x units of goods. Match each question withthe proper solution.QuestionsA. What is the profit from producing 1000 units of goods?B. At what level of production will the marginal profit be1000 dollars?Example 5 corrected their projections and are now expectingthe total sales for the x day of January to bethousand dollars.T(x) =245+365(3x + 1)²(a) Let S(x) be as in Example 5. Compute 7(1), 7(1), S(1),and S'(1).(b) Compare and interpret the data in part (a) as they pertainto the sales on January 1.47. Sales of Computers(a) Let A(x) denote the number (in hundreds) of comput-ers sold when x thousand dollars is spent on advertising.Represent the following statement by equations involvingA or A': When $8000 is spent on advertising, the numberof computers sold is 1200 and is rising at the rate of 50computers for each $1000 spent on advertising.(b) Estimate the number of computers that will be sold if$9000 is spent on advertising. 112 CHAPTER 1 The Derivative48. Estimating Sales of Toys A toy company introduces a newvideo game on the market. Let S(x) denote the number of000 videos sold on the day, x, since the item was introduced. Let nbe a positive integer. Interpret S(n), S'(n), and S(n) + S'(n).49. Third Derivative The third derivative of a function f(x) is thederivative of the second derivative f"(x) and is denoted byf"(x). Compute f"(x) for the following functions:(a) f(x)=x5-x² + 3x(b) f(x) = 4x5/250 Computo the thind

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Third Derivative The third derivative of a function f(x) is the derivative of the second derivative f"(x) and is denoted by f"(x). Compute f"(x) for the following functions: (a) f(x)=x5-x² + 3x (b) f(x) = 4x5/2 Compute

Third Derivative The third derivative of a function f(x) is the derivative of the second derivative f"(x) and is denoted by f"(x). Compute f"(x) for the following functions: (a) f(x)=x5-x² + 3x (b) f(x) = 4x5/2 Compute

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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