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37 and 41

37 and 41

Calculus: Early Transcendentals
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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37 and 41

CO Do not sketch the graph. )の Section 13.1 Relative 52. y = (x² x- xU[r = In Problems 53-64, determine intervals on wh increasing; intervals on which the function is extrema; symmetry; and those intercepts that conveniently. Then sketch the graph. 3. 8- -2 )E +x) = (1),J 54. y = 2x 56. y =x* 58. y = 2= 6. S'(x) = 2r(x - 1)3 x(x +2) 53. y = x² – 3x - 10 55. y = 3x -x³ 57. y = 2x - 9x² + 12x 3) = (x), 2 = (x),S 8 %3D extremum at x = 60. y= x n Figure 13.18. 0. This is also 10. y = x² + 4x +3 59. y = x - 2x? 「-- =イ 6 62. y = - 61. y = (x – 1)²(x + 2)? 63. y = 2x -x 12. y = x -ニx?- 2x+6 64. y == 65. Sketch the graph of a continuous func f(2) = 2, f(4) = 6, f'(2) =f'(4) = 0, f'(- f'(x) > 0 for 2 < x < 4, f has a relative m 13. y = – 2x² + 5x - 2 14. y = - -3 - 4. 16. y = -3 + 12x – x 15. y = x - 2x2 | riv(Y1, X,X) x² + 2x - 5 2 18. y = x - 6x² + 12x – 6 66. Sketch the graph of a continuous fun f(1) = 2, f(4) = 5, f'(1) = 0, f'(x) > 0 relative maximum when x = 4, and there when x = 4. 17. y =x *0 = (x)ƒ∞<x s the graph of f'(x). 61 x++10x + 2 20. y = -5x³+ x² + x – 7 19. y = 2r3 2. 5x2 +22x + 1 6. 22. y : + 10x 67. Average Cost that the average fixed-cost function cf = function for q > 0. Thus, as output q inc of fixed cost declines. 21. y = 3 If cf = 25,000 is a - 3. 23. y = 3x5 – 5x3 24. y = 3x - (Remark: x* + 2 x³ + x? +x +1 = 0 has no real roots.) 68. Marginal Cost If c = 3q - 3q² when is marginal cost increasing? 3x4 25. y = –x³ – 5x* + 200 - 4x3 + 17 2 Given the di 69. Marginal Revenue 4. 28. y = p = 500 – 13 27. y = 8x4 - x8 x'+3x + 4 3 find when marginal revenue is increas 29. y = (x² – 4)4 30. y = x(x – 2) 70. Cost Function For the cost fu %3D | 3. 32. y= marginal and average costs are alway 31. y = %3D x – 1 71. Revenue For a manufacturer': function is given by r = 240q + 57q for maximum revenue. (x)/ = 34. y= 9+ xx || p+ xɔ (a) for ad – bc > 0 72. Labor Markets economies in which there are two ty and casual. Permanent workers are Eswaran anc (b) for ad – bc < 0 4. 35. y = 1. 36. y = 4x² + - contracts and may receive benefits emergency aid. Casual workers are perform routine and menial tasks s and threshing. The difference z in a permanent worker over that of h x² - 3 2x? 37. y = 38. y = %3D x+ 2 4x2 – 25 39. y= for d/c < 0 40. y = - 9x %3D z = (1+ (a) for ad – bc > 0 (b) for ad - bc < 0 where pue Wp and labor, respectively, b is a positive Wc are wage rates f (x)) 41. y = (x – 1)2/3 42. y = x²(x+3)* of wc. %3D 43. y = x°(x – 6)* 44. y = (1 – x)²/3 (a) Show that %3D 45. y = e-x +I zp dw. 46. y = x Inx ru- %3D 47. y = x² – 9 In x 48. y = x-le* (b) If dw,/dwe < b/(1+b), she of Wc. 49. y = e - e 50. y = e/2 'M. Eswaran and A. Kotwal, "A Thea
Transcribed Image Text:CO Do not sketch the graph. )の Section 13.1 Relative 52. y = (x² x- xU[r = In Problems 53-64, determine intervals on wh increasing; intervals on which the function is extrema; symmetry; and those intercepts that conveniently. Then sketch the graph. 3. 8- -2 )E +x) = (1),J 54. y = 2x 56. y =x* 58. y = 2= 6. S'(x) = 2r(x - 1)3 x(x +2) 53. y = x² – 3x - 10 55. y = 3x -x³ 57. y = 2x - 9x² + 12x 3) = (x), 2 = (x),S 8 %3D extremum at x = 60. y= x n Figure 13.18. 0. This is also 10. y = x² + 4x +3 59. y = x - 2x? 「-- =イ 6 62. y = - 61. y = (x – 1)²(x + 2)? 63. y = 2x -x 12. y = x -ニx?- 2x+6 64. y == 65. Sketch the graph of a continuous func f(2) = 2, f(4) = 6, f'(2) =f'(4) = 0, f'(- f'(x) > 0 for 2 < x < 4, f has a relative m 13. y = – 2x² + 5x - 2 14. y = - -3 - 4. 16. y = -3 + 12x – x 15. y = x - 2x2 | riv(Y1, X,X) x² + 2x - 5 2 18. y = x - 6x² + 12x – 6 66. Sketch the graph of a continuous fun f(1) = 2, f(4) = 5, f'(1) = 0, f'(x) > 0 relative maximum when x = 4, and there when x = 4. 17. y =x *0 = (x)ƒ∞<x s the graph of f'(x). 61 x++10x + 2 20. y = -5x³+ x² + x – 7 19. y = 2r3 2. 5x2 +22x + 1 6. 22. y : + 10x 67. Average Cost that the average fixed-cost function cf = function for q > 0. Thus, as output q inc of fixed cost declines. 21. y = 3 If cf = 25,000 is a - 3. 23. y = 3x5 – 5x3 24. y = 3x - (Remark: x* + 2 x³ + x? +x +1 = 0 has no real roots.) 68. Marginal Cost If c = 3q - 3q² when is marginal cost increasing? 3x4 25. y = –x³ – 5x* + 200 - 4x3 + 17 2 Given the di 69. Marginal Revenue 4. 28. y = p = 500 – 13 27. y = 8x4 - x8 x'+3x + 4 3 find when marginal revenue is increas 29. y = (x² – 4)4 30. y = x(x – 2) 70. Cost Function For the cost fu %3D | 3. 32. y= marginal and average costs are alway 31. y = %3D x – 1 71. Revenue For a manufacturer': function is given by r = 240q + 57q for maximum revenue. (x)/ = 34. y= 9+ xx || p+ xɔ (a) for ad – bc > 0 72. Labor Markets economies in which there are two ty and casual. Permanent workers are Eswaran anc (b) for ad – bc < 0 4. 35. y = 1. 36. y = 4x² + - contracts and may receive benefits emergency aid. Casual workers are perform routine and menial tasks s and threshing. The difference z in a permanent worker over that of h x² - 3 2x? 37. y = 38. y = %3D x+ 2 4x2 – 25 39. y= for d/c < 0 40. y = - 9x %3D z = (1+ (a) for ad – bc > 0 (b) for ad - bc < 0 where pue Wp and labor, respectively, b is a positive Wc are wage rates f (x)) 41. y = (x – 1)2/3 42. y = x²(x+3)* of wc. %3D 43. y = x°(x – 6)* 44. y = (1 – x)²/3 (a) Show that %3D 45. y = e-x +I zp dw. 46. y = x Inx ru- %3D 47. y = x² – 9 In x 48. y = x-le* (b) If dw,/dwe < b/(1+b), she of Wc. 49. y = e - e 50. y = e/2 'M. Eswaran and A. Kotwal, "A Thea
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