Math

posted by .

Find the arc length of y = x^4 from the origin to (1, 1). Answer in length units, correct to two decimal places, please.

  • Math -

    The integral required is:
    I=∫sqrt(1+f'(x)^2)dx from 0 to 1
    =∫sqrt(1+(4x^3)^2)dx from 0 to 1

    An analytic result involves elliptic integrals. Numerical integration would therefore be recommended.

    I=1.600... (to 3 decimal places)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    round result to two decimal places...the answer i have is: 7.023 so two decimal places would it be: 702.0 You're asked to round to two decimal places. 7.023 = 7.02. Your answer has only one decimal place. so i guess my answer is wrong …
  2. geometry

    If a rectangle has an area of 64 square units and a length of 16 units, what is its width?
  3. geometry

    BC is an altitude with length of 30 of ƒ´ABD. AC has a length of 16 What is the length of CD?
  4. Math 11

    I need help on this math problem. The width of a certain painting is 5cm less than twice the length. The length of the diagonal distance across the painting is 107cm. Find the length and width. Round your answer to 2 decimal places. …
  5. Math

    I need help on this math problem. The width of a certain painting is 5cm less than twice the length. The length of the diagonal distance across the painting is 107cm. Find the length and width. Round your answer to 2 decimal places. …
  6. calculus

    Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) y = (2/3)x^(3/2) +7 ;[0,6]
  7. math check

    A machine produces parts with lengths that are normally distributed with ó = 0.52. A sample of 16 parts has a mean length of 75.07. (a) Give a point estimate for ì. (Give your answer correct to two decimal places.) 75.07. (b) Find …
  8. Math Arc Length

    Find the arc length corresponding to an angle of a degrees on a circle radius of 4.9 Enter the exact answer. I put the arc length was 4.9api/180 got it wrong. Any help?
  9. Math

    Find the radius of the circle if an arc of length 5 ft on the circle subtends a central angle of 135°. (Round your answer to two decimal places.)
  10. apex geometry

    Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true?

More Similar Questions