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2 The region R is a rectangle with vertices P a Ina Q a 0...

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Calculus

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2 The region R is a rectangle with vertices P a Ina Q a 0 S 3 0 and T 3 Ina where 1 a 3 201 1 54 05 1 0 P T 10 15 20 25 30 0 S A Write an expression that gives the area of the rectangle as a function of a B The area of the rectangle is maximized for some c between 1 and 3 Write the expression you would need to solve in order to find c You don t need to find c C What is the rate of change of the area when a 3 if a is decreasing at a rate of da 0 5 units sec You don t need to simplify of course Use appropriate units dt

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