7. A rectangle is positioned with two points on the semicircle y=36-x as shown. Find the point (x.y) so that the area of the rectangle is a maximum. x,y) 8. Find the area of the rectangle in Problem 7.
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There is a given rectangle positioned within the semi-circle:
............(1)
To determine:
The point (x, y) so that the area is maximum for the rectangle:
Solution:
Area of the rectangle is given by :
............. (2)
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