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Math 141_Optimization_Sect 4.6

# Math 141_Optimization_Sect 4.6 - Section 4.6 Optimization...

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Section 4.6 – Optimization To optimize is to find the BEST way of doing something. Example. We can maximize things like area, volume, profit, height… We can minimize things like time, distance, cost… Steps 1. Understand the problem. Read it carefully and identify the important information. 2. Draw a picture if possible. 3. Define the variables; identify what is to maximized or minimized. 4. Find an equation that relates variables. 5. Write a function of one variable . 6. Use methods from sections 4.2 and 4.3 to find the absolute extreme values. Class and Extra Problems 1. A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2, 3). Find the vertices of the triangle so that its area is minimized. 2. The wall of a building is to be braced by a beam that must pass over a parallel fence 5 feet high and 4 feet from the building. Find the length of the shortest beam that can be used.

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Math 141_Optimization_Sect 4.6 - Section 4.6 Optimization...

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