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a piece of wire 11 ft long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Allow x to equal 0 or 11, so all the wire is used for the square of for the circle. How long should each piece of the wire be to minimize the total area? What is the radius of the circle? How long is each side of the square?
Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
A recent article suggested that if you earn $25,000 a year today and the inflation rate continues at 3 percent per year, you'll need to make $33,598 in 10 years to have the same buying power.
Determine the largest and smallest values of the marginal cost for 0
A very small spherical particle (on the order of 5 microns in diameter) is projected into still air with an initial velocity of ν0 m/sec, but its velocity decreases because of drag forces.
Could you show me the easiest steps needed to prove the theorem of the Triangular inequaity for II . IIp (also called Minkowsky inequality) for L^p spaces.
Solving probability problems based on combinations
Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically.
What is the probability that a freshman selected at random from this group is enrolled in.
what is the value of k? The initial population at time = 0? the size of the bacterial population after 5hours?
A committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple
A determined gardener has 130 ft of deer-resistant fence. She wants to enclose a rectangular vegetable garden in her backyard, and she wants the area that is enclosed to be at least 1000 ft2. What range of values is possible for the length of her ..
A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only aord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?
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