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Question: For what values of n ≥ 0 do you think 2n+1 ≥ n2 + 3? Is it possible to use the technique of asserting there is a smallest counter-example and deriving a contradiction to prove you are right? If so, do so and describe the implication you had to prove in the process. If not, why not?
The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College.
A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
Question: Suppose that a function f(x) has domain of [-3,7] and range of (-inf,10]. The function g(x) is a transformation of the function f(x) and is defined as g(x) =2f(-x)-3. The Function g(x) is the result of performing three function transform..
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size as in Figure. Which dimensions maximize the area of the warehouse? What is the area of each compartment in this case?
Consider this variation of the game of Nim. The game begins with n matches. Two players take turns removing matches, one, two, or three at a time.
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
Probability Average sale of product is 87,000 on a normal curve with a standard deviation of 4,000. What is the probability that sales will be less
Give five interesting facts about group theory (or tensor calculus). Each one need only be 1 to just a few sentences - please list separately and under each fact provide any links to websites or pictures etc.
Two continuous random variables X and Y have a joint probability distribution f ( x, y ) = A ( x 2 + y 2 ) ,
A package can have a maximum combined length and girth of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (assume that the cross section is a square)
a company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 60ft^3. what dimensions yield the minimum surface area?
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