Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Equation of the curve is;
y = 2x-¼(x²)
The vertex coordinate (maximum turning point) is at;
(4, 4)
Therefore;
Shaded Area in square units is;
Area square with side 4 units - Area rectangle with length (39/16) units and width (3/2) units - (area under the curve at x = (3/2) and x = 4)
= 16-((39/16)*(3/2))-(835/96)
= 16-(117/32)-(835/96)
= (175/48) square units.
