The line with equation y = 10 x cuts the curve with y = 2x 2

Question:

The line with equation y = 10 − x cuts the curve with y = 2x2 − 5x + 4 at the points A and B, as shown.


a. Find the coordinates of A and the coordinates of B. The shaded region R is bounded by the line and the curve as shown.


b. Find the exact area of R.


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