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[SOLVED] Optimization problem
1. Homework Statement
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the smicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 28 feet?
2. Homework Equations
After solving for b and plugging b into the Area formula I cannot determine the local max. Is the algebra or derivative wrong?
3. The Attempt at a Solution please see attachment
1. Homework Statement
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the smicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 28 feet?
2. Homework Equations
After solving for b and plugging b into the Area formula I cannot determine the local max. Is the algebra or derivative wrong?
3. The Attempt at a Solution please see attachment
Attachments

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