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Section 7-4

Section 7-4. Arc Length. Find Length of a non-linear Function. D L. Length = L. a. b. Find Length of a non-linear Function. Use the Pythagorean Theorem to find the length of each line segment. To get a better approximation of the curve, let D L, D x, D y get infinitesimally

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Section 7-4

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  1. Section 7-4 Arc Length

  2. Find Length of a non-linear Function DL Length = L a b

  3. Find Length of a non-linear Function Use the Pythagorean Theorem to find the length of each line segment To get a better approximation of the curve, let DL, Dx, Dy get infinitesimally small DL Add all the line segments to get the arc length

  4. Arc Length in terms of x Arc Length in terms of y You will be mixing Derivative and Integration! Be careful with the two techniques.

  5. First find the derivative: • Find the length of the curve y = x3/2 from x = 0 to x = 4 Plug the info into the correct Arc length formula

  6. 2) Find the length of the curve for

  7. Find the length of the curvefrom y = 1 to y = 2.

  8. Cont’d

  9. Homework Page 485 # 3-7

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