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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 -

    y=2x^2+7x+c
    5=4x+7, so x = -1/2
    y(-1/2) = -3+c

    at x = -1/2, y=2x = -1, so

    -1 = -3+c
    c=2

    y = 2x^2+7x+2

    P=(-1/2,-1)

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