Math

posted by .

Fiind the area bounded by the parabola y^2 = 8x, the x axis and the line x=2

  • Math -

    I think the answer is 2.25V.

  • Math -

    a = ∫[0,2] √(8x) dx
    = √8 (2/3 x^3/2) [0,2]
    = 2√8/3 (2√2)
    = 16/3

    a = ∫[0,4] 2-y^2/8 dy
    = 4y - y^3/24 [0,2]
    = 8 - 64/24
    = 16/3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc.

    Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, …
  2. Math integrals

    What is the area of the region bounded by y=x^2, the tangent to this parabola at (1, 1) and the x-axis?
  3. calculus

    Find the area of the region bounded by the parabola y=x^2 , the tangent line to this parabola at (10, 100), and the x-axis.
  4. calculus

    calculate the area bounded between the parabola y=x2, the straight line y=(x/2)+2, line x=1 and the y-axis.
  5. calculous

    Find the area of the region bounded by the parabola y = 4x^2, the tangent line to this parabola at (4, 64), and the x-axis.
  6. calculous

    Find the area of the region bounded by the parabola y = 4x^2, the tangent line to this parabola at (4, 64), and the x-axis.
  7. Parabola Ques

    Find the point P on the parabola y^2 = 4ax such that area bounded by parabola, the X-axis and the tangent at P is equal to that of bounded by the parabola, the X-axis and the normal at P.
  8. calculus 2

    Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (1, 3), and the x-axis.
  9. calculus 2

    Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (3, 45), and the x-axis.
  10. Math

    An area is bounded by the x-axis and the parabola y = 16 - x^2. Use four rectangles of equal width and the midpoint approximation method to estimate the bounded area. Could you please show me how to work out this problem?

More Similar Questions