MTH142_Assg07 - Assignment 7 Due Monday Suggested steps for...

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Unformatted text preview: Assignment 7 Due Monday, April 14, 2008 Suggested steps for solving optimization problems: 1. Identify important quantities and draw a diagram or picture. 2. Collect information, writing down equations implied by the problem. 3. Write a single equation involving the quantity to be optimized. Use this to create a formula for this quantity in terms of just one variable. 4. Find the critical points of the function in the previous part. 5. Determine whether these critical points give max or mins. Do you need to check the boundaries of your domain? 6. Write out your answer in English, with proper units. (Does your answer make sense?) Use these steps in doing the problems, below. You should turn in problems 1-5. Optimization problems: 0. A farmer has 100 feet of fence and wants to fence in a rectangular pen. What dimensions will maximize the enclosed area? 1. Find the area of the largest rectangle that can be inscribed in a right triangle with legs of length 3 cm. and 4 cm. if two sides of the rectangle lie along the legs of the triangle.cm....
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MTH142_Assg07 - Assignment 7 Due Monday Suggested steps for...

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