Calculus 4.4

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3.7 Optimization Problems
Buffalo Bills Ranch, North Platte, Nebraska
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Objective

• Solve applied minimum and maximum problems.

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Four feet of wire is to be used to form a circle
and a square. How much of the wire should be used
for the square and how much should be used for
the circle to enclose the maximum area?
Maximize total area
Know
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Four feet of wire is to be used to form a circle
and a square. How much of the wire should be used
for the square and how much should be used for
the circle to enclose the maximum area?
Domain
Use all of wire on circle x0 Use all wire on
square x1
0x1
max
Use all the wire to make a circle.
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Homework

• 3.7 (p. 216)
• 22d, 23, 29, 33
• Handout