The diagram shows part of the curve with equation y = 3 x x 3 +

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The diagram shows part of the curve with equation y = 3 √x − √x3 + 4 and the line with equation y = 4 − 1/2 x.


a. Verify that the line and the curve cross at the point A(4, 2).


b. Find the area of the finite region bounded by the curve and the line.


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