4. You have 20 ft of wire that you want to cut and fold into two different shapes, a circle and a square. You must use all of the wire in your construction. Consider the following scenarios: (a) How would you cut the wire if you want to have the minimal area possible enclosed by your two shapes? How much of the wire would be used for the circle/square? (b) How would you cut the wire if you want to have the maximal area possible enclosed by your two shapes? How much of the wire would be used for the circle/square?
4. You have 20 ft of wire that you want to cut and fold into two different shapes, a circle and a square. You must use all of the wire in your construction. Consider the following scenarios: (a) How would you cut the wire if you want to have the minimal area possible enclosed by your two shapes? How much of the wire would be used for the circle/square? (b) How would you cut the wire if you want to have the maximal area possible enclosed by your two shapes? How much of the wire would be used for the circle/square?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Solve Q4 in 10 minutes please
Transcribed Image Text:3. Show that the area of the optimal rectangle inscribed inside a semi-
circle of radius 2 (found in the video "Optimization Examples") is
indeed a maximum, using either the first or second derivative rule.
4. You have 20 ft of wire that you want to cut and fold into two different
shapes, a circle and a square. You must use all of the wire in your
construction. Consider the following scenarios:
(a) How would you cut the wire if you want to have the minimal
area possible enclosed by your two shapes? How much of the wire
would be used for the circle/square?
(b) How would you cut the wire if you want to have the maximal
area possible enclosed by your two shapes? How much of the wire
would be used for the circle/square?
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