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49. e² = xyz

49. e² = xyz

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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43. f(x, y, z) 1 + √√x² + 44. f(x, y, z) = x³²; f(e, 1, 0) 47. x² + 2y² + 3z² = 1 Indi 49. e² = xyz y² + 2² v² + 45-46 Use the definition of partial derivatives as limits (4) to find à barb f(x, y) and f(x, y). 45. f(x, y) = xy² = x³y 51-52 Find az/ax and az/ay. 51. (a) z = f(x) + g(y) 52. (a) z = f(x) g(y) (c) z = f(x/y) y 2x + 3y 57. v = sin(s² - t²) 55. z = (1,2,2) sam bozita jotta 47-50 Use implicit differentiation to find az/ax and az/ay. 48. x² - y² + z² - 2z = 4 to ang nabi a 50. yz + x ln y = z² 53-58 Find all the second partial derivatives. 53. f(x, y) = x¹y - 2x³y² 46. f(x, y) = it wor? mustanos on (b) z = f(x + y) (b) z = f(xy) X 1+² x + y² 6₂ 567-18 58. w=√1 + uv² 11 = 54. f(x, y) = ln (ax + by) 56. Te-2r cos 0 60. u = esin y 59-62 Verify that the conclusion of Clairaut's Theorem holds, that is, Uxy = Uyx. 59. u = x²y³ - y² 61. 4 XX In(x + 2y) blupy 1.00 70. u= xyz; 71. If f(x, y, z)= [Hint: Which C 72. If g(x, y, z) = different order 73. Use the table c f.(3,2), f.(3,2 X 2 74. Level curves a the following point P. (a) fx (d) fry 75. Verify that th heat conduct 76. Determine w solution of L (a) u = x² = (c) u = x³ + (a) = sin.
Transcribed Image Text:43. f(x, y, z) 1 + √√x² + 44. f(x, y, z) = x³²; f(e, 1, 0) 47. x² + 2y² + 3z² = 1 Indi 49. e² = xyz y² + 2² v² + 45-46 Use the definition of partial derivatives as limits (4) to find à barb f(x, y) and f(x, y). 45. f(x, y) = xy² = x³y 51-52 Find az/ax and az/ay. 51. (a) z = f(x) + g(y) 52. (a) z = f(x) g(y) (c) z = f(x/y) y 2x + 3y 57. v = sin(s² - t²) 55. z = (1,2,2) sam bozita jotta 47-50 Use implicit differentiation to find az/ax and az/ay. 48. x² - y² + z² - 2z = 4 to ang nabi a 50. yz + x ln y = z² 53-58 Find all the second partial derivatives. 53. f(x, y) = x¹y - 2x³y² 46. f(x, y) = it wor? mustanos on (b) z = f(x + y) (b) z = f(xy) X 1+² x + y² 6₂ 567-18 58. w=√1 + uv² 11 = 54. f(x, y) = ln (ax + by) 56. Te-2r cos 0 60. u = esin y 59-62 Verify that the conclusion of Clairaut's Theorem holds, that is, Uxy = Uyx. 59. u = x²y³ - y² 61. 4 XX In(x + 2y) blupy 1.00 70. u= xyz; 71. If f(x, y, z)= [Hint: Which C 72. If g(x, y, z) = different order 73. Use the table c f.(3,2), f.(3,2 X 2 74. Level curves a the following point P. (a) fx (d) fry 75. Verify that th heat conduct 76. Determine w solution of L (a) u = x² = (c) u = x³ + (a) = sin.
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