The curve C has equation a. Verify that C crosses the x-axis at the point (1, 0).

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The curve C has equation


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a. Verify that C crosses the x-axis at the point (1, 0).


b. Show that the point A(8, 4) also lies on C.


c. The point B is (4, 0). Find the equation of the line through AB. The finite region R is bounded by C, AB and the positive x-axis.


d. Find the area of R.

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