Tuesday

July 22, 2014

July 22, 2014

Posted by **Melanie** on Friday, August 15, 2008 at 6:23am.

Since it says that the parabola passes through 1,1 can I assume that the line is y = x or is that completely wrong?

Doing that I got ∫ x - x^2 dx (where the interval from a to b goes from 0 to 1)

so the solved integral would be

x^2/2 - x^3/3] 0 to 1

= [(1)^2/2 - (1)3/3] - 0

= 1/2 - 1/3

= 1/6

What should I have done if it's wrong?

- Math integrals -
**Reiny**, Friday, August 15, 2008 at 9:47amThe tangent line is not y = x

Since the derivative of y = x^2 is dy/dx = 2x, at (1,1) dy/dx = 2, so the tangent line has a slope of 2

its equation would be y = 2x + b, with (1,1) on it

So, 1 = 2(1) + b, ------> b = -1

the tangent equation is y = 2x-1, which would result in an x-intercept of (1/2,0).

I would take the area between y = x^2 from 0 to 1 minus the right -angled triangle formed by the x-axis, y=2x-1 and x=1

let me know if you got 1/12.

**Related Questions**

calculous - Find the area of the region bounded by the parabola y = 4x^2, the ...

calculous - Find the area of the region bounded by the parabola y = 4x^2, the ...

calculus - Find the area of the region bounded by the parabola y=x^2 , the ...

Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...

math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...

math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...

calculus help lttle question - find the area of the regin bounded by the graphs ...

math - 1) A region is bounded by the line y = x and the parabola y = x2 - 6x + ...

math - 1) A region is bounded by the line y = x and the parabola y = x2 - 6x + ...

Parabola Help - by plotting the graph of parabola y=2+3x-2x^2 which 3 option are...