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The sketch below shows the curve #y = x^2 +5# and the line y = 8-2x.The line intersects the curve at points C and D as shown. Line AC and BD are parallel to the y-axis.
a).Determine the coordinates of C and D.
b).Use integration to calculate the area bounded by the curve and the x-axis between C and D.
c).Calculate the area enclosed by line CD and the x-axis between points A and B.
d).Determine the area of the shaded region.