Question: 4. A rectangular playground is to be placed inside an oval track in the shape of the ellipse a' /a + y'/b' = 1. (a)

 4. A rectangular playground is to be placed inside an oval

track in the shape of the ellipse a' /a + y'/b' =

4. A rectangular playground is to be placed inside an oval track in the shape of the ellipse a' /a + y'/b' = 1. (a) What is the maximum area of the playground?(In terms of a and b) (b) What are the dimensions of the playground? (In terms of a and b)

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