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A soda can is to hold 12 fluid ounces. Suppose that the bottom and the top are twice as thick as the sides. Find the dimensions of the can which minimize the amount of material used.
A satellite dish, is the shape of a parabola. Signals coming from a satellite strike the surface of the dish and are reflected to the focus where the receiver is located.
Among the N = 18 doctors in a healthcare group, A=7 of them are board certified. A team of n= 4 doctors is going to be selected at random to staff a new clinic. Use X to represent the number of doctors selected into the team who are board certifie..
How many hours of pumping until the well is full? How many cubic meters of water are in the well after t hours of pumping?
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
Compare this to the actual value of the derivative and compute the percent error for each approximation
Find the x-coordinate of the absolute maximum for the function f(x)=(3+9ln(x))/x x>0
Discuss which practical application covered in the chapter you think you will use within the next year and how you think studying this topic will help you make wise financial choices in the future.
Let A and B be sets. Show that A x B and B x A have equal cardinality by constructing an explicit bijection between the two sets. Then use the following proposition to prove that multiplication is commutative. (Let n, m be natural numbers. Then nx..
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
I have found the number of deaths in the United States due to each medical condition in each of the following years.
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