9 and 19 + zW(m2+ 19)'/21) - (6 +1bp-onL'OI =6%3D4up= (1)(10.7This means that if a tenth employee is hired, r$10.71 per day. dTherefore, from the chain rule,6=| upA direct forTnula for the marginal-revenueproduct isdpbpbP p+up+PROBLEMS 11.533. y=x³(2x + 3)71. Ify=u? - 2u and u = x² – x, find dy/dx.2. If y = 2u³ – 8u and u = 7x – x³, find dy/dx.and w = 3x –- 5, find dy/dx.In Problems 1-8, use the chain rule.%3D35. y = 4x²/5x +%3D37. y = (x² + 2x –39. y = (8x – 1)³(2x – 3 \-|3. If y = -4. If y = z and z = x³ – x* + 3, find dy/dx.find dw/dt when t = 1.FOR|41. y%3D%3D7+ x%3D6. If z = u² + Vũ + 9 and u = 2s² – 1, find dz/ds when s = -1.7. If y = 3w² – 8w + 4 and w = 2x² + 1, find dy/dx when x == 3x + 1, find dy/dx when5. If w = u and u =%3DI+1 G c syx - 52x - 5= 0.43. y =%3D%3D8. If y = 2u3 + 3u² + 5u- 1 and u =45. y =%3D(x² + 4)3%3D(8x 1)- 1)*x = 1.|In Problems 9–52, find y'.47. y=%3D-10. y = (x² – 4)“ s iho12. y = (x² + x)*9. y = (3x + 2)° ogei%3Dvo nav 49. y = 6(5x² +%3D11. y = (3 +2r)5%D(2x² + 1)414. y=51. y = 8t +13. y = 5(x³ – 3x² + 2x)!00|15. y = (x² – 2)–316. y= (2x³ – 8x)-12|52. y =17. y = 2(x² + 5x – 2)-5/718. y = 3(5x – 2x³)-5/3(2.||%3D810020. y = 3x² -722. y = 8x² – 1In Problems 53find y'. Do not s-%3D21. y = 2x – 1%3D23. y = 4/(x² + 1)3 a i 24. y = 7( – 3)5 01079-Snh853. y :9.2x² – x+ 1%D3.26. y = A+225. y =%3D55. If y = (5u27. y =%3D(x² – 3x)²28. y =56. If z = 2y%3D29. y =4.30. y =57. Find the3.re(3r2 - x)/3%3D(8,0).

Answered: Image /qna-images/answer/cca886e3-141f-4dc5-9aaf-d659d58cdf20.jpg

Answered: PROBLEMS 11.5 у 3 yAR-4onigne 31. y= •…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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An asset having a useful life of 3 years is purchased on 1 January 2015. Cost of the asset is RO 2,000 whereas its residual value is RO 500. Using the Straight Line Method of Depreciation, the book value at the end of second year is _______. a. RO 2000 b. RO 500 c. RO 1000 d. RO 1500
A company's cash position (measured in millions of dollars) follows a generalized Wiener process growing onaverage 0.2 m per quarter with volatility of 0.1m per quarter. How high must the initial cash balance be for theprobability of a negative balance after 2.00 years not to exceed 5%?
A manufacturing firm, Caleb Corp, produces and sells product in its home (US) market, and in a foreign market. There is inherent risk in the revenues collected from the foreign market due to volatility in the exchange rate. Under a benchmark strategy, all of the production takes place in the home country. The resulting expected profits for Caleb Corp are variable, due to variation in the exchange rate. As an approximation, the firm has estimated profits for five possible ranges of the exchange rate, with profit represented as a lottery, L= (.2, 150; .2, 200; .3, 220; .2,250; .1, 270) The probabilities are estimated probabilities for the different ranges. The outcomes in this lottery are the estimated final profit levels (not changes in profit). (a) Calculate the expected profit if the firm follows this benchmark strategy, i.e., E(L)
A manufacturing firm, Caleb Corp, produces and sells product in its home (US) market, and in a foreign market. There is inherent risk in the revenues collected from the foreign market due to volatility in the exchange rate. Under a benchmark strategy, all of the production takes place in the home country. The resulting expected profits for Caleb Corp are variable, due to variation in the exchange rate. As an approximation, the firm has estimated profits for five possible ranges of the exchange rate, with profit represented as a lottery, L= (.2, 150; .2, 200; .3, 220; .2,250; .1, 270) The probabilities are estimated probabilities for the different ranges. The outcomes in this lottery are the estimated final profit levels (not changes in profit). Now suppose the firm can also buy forward contracts on foreign currency to neutralize the effect of the exchange rate on profits. Assume that these provide complete hedging, but that it involves an additional cost, so that following the…
Determine thesolution of the initial value problem
IVP: Initial-Value-Problem
Suppose you have inherited K100,000 from your father-in-law that can be invested in a combination of only two stock portfolios, with the maximum investment allowed in either portfolio set at K75,000 . The first portfolio has an average rate of return of 10%, whereas the second has 20%. In terms of risk factors associated with these portfolios, the first has a risk rating of 4 (on a scale 0 to 10), and the second has 9. Since you wish to maximize your return, you will not accept an average rate of return below 12% or risk factor above 6. Formulate the linear programming model for the problem. How much should you invest in each portfolio? Solve the problem by simplex method.
Question 1 The CEO of Asempa farms limited is considering whether to plant this year’s yam with a fertilizer or go organic (i.e. without fertilizer). In case of using a fertilizer, 10kg of either the Platinum or Standard type fertilizer would be needed at the start of the planting year. The Platinum type is GH¢1000 per kilogram and could lead to a high yield of 30 tons or a moderate yield of 20 tons of yam at the end of the year. The Standard type is GH¢800 per kilogram and could also lead to a high yield of 15 tons or a moderate yield of 10 tons of yam at the end of the year. The Standard has fewer chemicals and would lead to tastier yam that sells for a higher price than that of Platinum. There is a probability of 0.7 that high yield would be recorded at the end of the year.Market price for yam is uncertain and depends on the type as well as the volume of yam on the market. Generally, a year of high yield results in higher volume whiles a year of moderate yield leads to moderate…
Consider the following initial-value problem.
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create 2 sample word problems of chain rule of integration with solutions

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