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Math

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a curve is such that dy/dx=4x+7. the line y=2x meets the curve at point 'P'. Given that the gradient of the curve at P is 5. State the coordinates of P.

  • Math - ,

    from dy/dx = 4x + 7x
    y = 2x^2 + 7x + c

    but 4x+7 = 5
    4x = -2
    x = -1/2

    sub into y = 2x
    y = 2(-1/2) = -1

    so P is (-1/2, -1)

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