Find the exact value of the arc length of each function f(x) in Exercises 31-46 on [a, b] by writing the arc length as a definite integral and then solving that integral. 31. f(x) = 3x + 1, [a, b] = [-1,4] 32. f(x) = 4 – x, [a, b] = [2,5] 33. f(x) = 2x3/2 +1, [a,b] = [1, 3] 34. f(x) = x/2, 35. f(x) = (2x + 3) 3/2, [a, b] = [-1, 1] 36. f(x) = 2(1 – x)3/2 + 3, [a,b] = [-2, 0] 37. f(x) = /9 –x², [a, b] = [-3, 3] 38. f(x) = /1– x², 39. f(x) = */2 – x/2, [a, b] = [0, 1] [a, b] = [0, 2] [a, b] = [–1, 1] %3D 40. f(x) = (1 – x²/3) 3/2, [a, b] = [0, 1] 41. f(x) = (4 – x²/3) 3/2, [a, b] = [0,2] 42. f(x) = x², [a, b] = [-1,1] 1 43. f(x) = x² - In x, [a, b] = [1, 2] [a, b] = [0, ] 45. f(x) = In(sinx), [a, b] = |,| 44. f(x) = In(cos x), Зл x* + 3 46. f(x) [a, b] = [1,3] 6r
Find the exact value of the arc length of each function f(x) in Exercises 31-46 on [a, b] by writing the arc length as a definite integral and then solving that integral. 31. f(x) = 3x + 1, [a, b] = [-1,4] 32. f(x) = 4 – x, [a, b] = [2,5] 33. f(x) = 2x3/2 +1, [a,b] = [1, 3] 34. f(x) = x/2, 35. f(x) = (2x + 3) 3/2, [a, b] = [-1, 1] 36. f(x) = 2(1 – x)3/2 + 3, [a,b] = [-2, 0] 37. f(x) = /9 –x², [a, b] = [-3, 3] 38. f(x) = /1– x², 39. f(x) = */2 – x/2, [a, b] = [0, 1] [a, b] = [0, 2] [a, b] = [–1, 1] %3D 40. f(x) = (1 – x²/3) 3/2, [a, b] = [0, 1] 41. f(x) = (4 – x²/3) 3/2, [a, b] = [0,2] 42. f(x) = x², [a, b] = [-1,1] 1 43. f(x) = x² - In x, [a, b] = [1, 2] [a, b] = [0, ] 45. f(x) = In(sinx), [a, b] = |,| 44. f(x) = In(cos x), Зл x* + 3 46. f(x) [a, b] = [1,3] 6r
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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![Find the exact value of the arc length of each function f(x) in
Exercises 31-46 on [a, b] by writing the arc length as a definite
integral and then solving that integral.
31. f(x) = 3x + 1, [a, b] = [-1,4]
32. f(x) = 4 – x, [a, b] = [2,5]
33. f(x) = 2x3/2 +1, [a,b] = [1, 3]
34. f(x) = x/2,
35. f(x) = (2x + 3) 3/2, [a, b] = [-1, 1]
36. f(x) = 2(1 – x)3/2 + 3, [a,b] = [-2, 0]
37. f(x) = /9 –x², [a, b] = [-3, 3]
38. f(x) = /1– x²,
39. f(x) = */2 – x/2, [a, b] = [0, 1]
[a, b] = [0, 2]
[a, b] = [–1, 1]
%3D
40. f(x) = (1 – x²/3) 3/2, [a, b] = [0, 1]
41. f(x) = (4 – x²/3) 3/2, [a, b] = [0,2]
42. f(x) = x², [a, b] = [-1,1]
1
43. f(x) = x² - In x, [a, b] = [1, 2]
[a, b] = [0, ]
45. f(x) = In(sinx), [a, b] = |,|
44. f(x) = In(cos x),
Зл
x* + 3
46. f(x)
[a, b] = [1,3]
6r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e7df177-a6df-4398-b461-5e937875a10d%2F6a94fed3-f8e7-4d46-a5ff-1b2380108f9c%2Fo55ok0h_processed.png&w=3840&q=75)
Transcribed Image Text:Find the exact value of the arc length of each function f(x) in
Exercises 31-46 on [a, b] by writing the arc length as a definite
integral and then solving that integral.
31. f(x) = 3x + 1, [a, b] = [-1,4]
32. f(x) = 4 – x, [a, b] = [2,5]
33. f(x) = 2x3/2 +1, [a,b] = [1, 3]
34. f(x) = x/2,
35. f(x) = (2x + 3) 3/2, [a, b] = [-1, 1]
36. f(x) = 2(1 – x)3/2 + 3, [a,b] = [-2, 0]
37. f(x) = /9 –x², [a, b] = [-3, 3]
38. f(x) = /1– x²,
39. f(x) = */2 – x/2, [a, b] = [0, 1]
[a, b] = [0, 2]
[a, b] = [–1, 1]
%3D
40. f(x) = (1 – x²/3) 3/2, [a, b] = [0, 1]
41. f(x) = (4 – x²/3) 3/2, [a, b] = [0,2]
42. f(x) = x², [a, b] = [-1,1]
1
43. f(x) = x² - In x, [a, b] = [1, 2]
[a, b] = [0, ]
45. f(x) = In(sinx), [a, b] = |,|
44. f(x) = In(cos x),
Зл
x* + 3
46. f(x)
[a, b] = [1,3]
6r
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