Rohan a student of class XII visited his uncle's flat number | Case Study Application of Derivatives
Read the following passage and answer the questions given below. Rohan, a student of class XII, visited his uncle's flat with his father. He observe that the window of the house is in the form of a rectangle surmounted by a semicircular opening having perimeter 10 m as shown in the figure.
(i) If a and y represents the length and breadth of the rectangular region, then find the relation between x and y. Also, Find the expression of Area (A) of the window.
(ii) Find the value of x for maximizing the Area (A) of whole window.
(iii) Find the maximum area of the window.
OR
(iii) For maximum value of A, find the breadth of the rectangular part of the window.
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