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A classic problem from Calculus I is to take a wire of length L and cut it into pieces. One piece is bent into a circle and the remainder is bent into a square.
(a) Determine how the wire should be cut so the maximum area is enclosed by the two shapes. In particular, how much of the wire is used for the circle and how much is used for the square?
(b) How much area is enclosed in the square?
(c) How much area is enclosed in the circle?
(d) What is the maximum enclosed area?
A carpentar is building a rectangular room with a fixed perimeter of 388 ft. What dimensions would yield the maximum area? What is the maximum area? The lenght that would yeild teh maximum feet is what?
How many hens and how many rabbits does the farmer have? I know the answer is 20 rabbits and 30 hens. I need the algebraic formula. Can you help?
Calculate the expected value of having built a large plant and calculate the expected value of having built the small plant.
Calculate the average rate of change.
CD's are packaged up in boxes of 88. Every 26 boxes are loaded onto 1 crate. 1.How many crates would be needed if you had 290000 CD's to pack?
braun invested a certain sum of money at 8 p.a. simple interest for n years. at the end of n years braun got back 4
An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,and 2 cans of mango juice. What is the probability of selecting a can of apple juice
The formula b=29a is used in New England to estimate the minimum furnace output, b, in BTUs, for a modern house with a square feet of flooring.
The initial contact person calls three other people, each of whome call three others and so on, until all the people in the band Committee have been contacted. What is the maximum number of people they need to make the calls.
If the test is positive, what is the probability that the person actually has hepatitis? (Round your answer to five decimal places.)
q1. in this question we use the vectors of r5.u 1 0 1 1 1 v 3 2 1 1 1 and w 0 1 1 1 2.a calculate u vb calculate
The data points given are just like x and y values, where the x value is the time t in seconds and the y value is the altitude h in feet. Plug these into the model and you will get equations with a, b and c.
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