16. Find the area between the parabola ( y=x^{2} ) and the line ( y=x ). (You must show a sketch of the graph and area to get full marks)
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To do this, we set the two equations equal to each other and solve for \( x \): \[ x^2 = x \] \[ x^2 - x = 0 \] \[ x(x - 1) = 0 \] This gives us two solutions: \( x = 0 \) and \( x = 1 \). Show more…
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