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Read the following passage and answer th...

Read the following passage and answer the questions given below.

In an elliptical sport field the authority wants to design a rectangular soccer field with the maximum possible area. The sport field is given by the graph of `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` .
Use First derivative Test to find the length 2x and width 2y of the soccer field (in terms of a and b) that maximize its area.

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