Mathematics - Calculus - Maximum Value
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A zookeeper needs to add a rectangular outdoor pen to an animal house with a corner notch, as shown in the figure. If 85 m of new fence is available, what dimensions of the pen will maximize its area? No fence will be used along the walls of the animal house.
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Solution Summary
The expert examines a maximum value for the rectangular outdoor pen using calculus. A complete, neat and step-by-step solution is provided.
Solution Preview
Let the dimensions of the pen for maximum area be length = x, width = y.
Then area, A = xy. For maximum area, dA/dx = 0 ...
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