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The line y+x=9 intersects the curve y=x^2-2x+3 at the points P and Q .
(a) Find the coordinates of P and Q .
(b) Sketch the line and the curve on the same set of axes.
(c) Calculate the area enclosed by the line and the curve.

  • calculus -

    Set the two equations equal to each other and solve
    Go look at your integration chapter - area bounded by two curve
    Integration (line - parabola)dx
    Then you are going to deal with adding the part of the parabola under the x-axis

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