A piece of wire of length 51 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?

Q: An isoceles triangle is circumscribed about the unit circle so that the equal sides meet at a point…

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Q: A rectangular corral of 486 square meters is to be fenced off and then divided by a fence into two…

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Q: 3. A farm owner wants to fence off a rectangular pen against his barn, as shown. No fencing will be…

A: Given the two side pieces ( each of length y ) will cost 8 dollars per ft the front piece ( of…

Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

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Q: A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15 mi from…

A: Given- A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 15…

Q: A farmer wants to build a rectangular fence that will enclose 120 square feet for his dog Miff. The…

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Q: We are tasked with constructing a rectangular box with a volume of 13 cubic feet. The material for…

A: The problem is to minimize the cost of  rectangular box with volume 13 ft3 Surface Cost/ sq feet…

Q: Bill is constructing a rectangular corral in his yard. He only has 32 ft of fencing material and…

A: Bill is constructing a rectangular corral in his yard and he has only 32 ft of fencing material. We…