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Thread: Two graphs have gradient functions dy/dx = 3x^2+3x+a and dy/dx = 3x^2-2x+1.

  1. #1
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    Post Two graphs have gradient functions dy/dx = 3x^2+3x+a and dy/dx = 3x^2-2x+1.

    Hey, I am struggling and I need a help please !
    I tried to do it but I am sure that's completly wrong ....

    1. Two graphs have gradient functions dy/dx = 3x^2+3x+a and dy/dx = 3x^2-2x+1. The graphs cross at the point (1, a) and also at the point where x=-2.
    Find the equations of the two graphs, and the value of a.

  2. #2
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    Quote Originally Posted by frz17 View Post
    Hey, I am struggling and I need a help please !
    I tried to do it but I am sure that's completly wrong ....

    1. Two graphs have gradient functions dy/dx = 3x^2+3x+a and dy/dx = 3x^2-2x+1. The graphs cross at the point (1, a) and also at the point where x=-2.
    Find the equations of the two graphs, and the value of a.
    First thing I would do is to integrate those to given functions:

    f1(x) = [tex]\displaystyle{\int {(3x^2+3x+a)} \ \ dx}[/tex]

    f2(x) = [tex]\displaystyle{\int {(3x^2-2x+1)} \ \ dx}[/tex]

    Did you do that?

    What did you get?
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

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