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Use calculus to solve this and show work. Topic: Optimization 1. Determine two numbers that add to 15 such that the product of the first

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Use calculus to solve this and show work. Topic: Optimization

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1. Determine two numbers that add to 15 such that the product of the first and twice the second will be a maximum. 2. Determine two numbers that have a difference of 10 for which their product is a minimum. 3. A farmer needs to make three adjacent, identical fenced in pens using 100 ft. of fencing. Find the total dimensions of the pen that will give a maximum area

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