Lesson20_-_Optimization_ws

# Lesson20_-_Optimization_ws - 1.5 in margins on the top and...

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Worksheet for Section 4.5 Optimization Problems V63.0121, Calculus I Spring 2010 1. An advertisement consists of a rectangular printed region plus 1 in margins on the sides and 2 in margins on the top and bottom. If the area of the printed region is to be 92 in 2 , ﬁnd the dimensions of the printed region and overall advertisement that minimize the total area. 2. An advertisement consists of a rectangular printed region plus 1 in margins on the sides and

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Unformatted text preview: 1.5 in margins on the top and bottom. If the total area of the advertisement is to be 120 in 2 , what dimensions should the advertisement be to maximize the area of the printed region? 1 3. A Norman window has the outline of a semicircle on top of a rectangle. Suppose there is 8 + 2 π feet of wood trim available. Find the dimensions of the rectangle and semicircle that will maximize the area of the window. 2...
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## This note was uploaded on 07/19/2010 for the course MATHEMATIC V63.0121 taught by Professor Leingang during the Spring '09 term at NYU.

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Lesson20_-_Optimization_ws - 1.5 in margins on the top and...

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