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A twenty-something single person is planning a ski vacation. Assume that she has 3 possible destinations: New England, Utah, and Oregon. There are 3 ski areas in New England with 2 available times for 2 of the areas, and 3 times for the other area. There are 4 ski areas in Utah with 4 available times for 3 of the areas, and 3 times for the other area. There are 4 ski areas in Oregon with 4 available times for 3 of the areas, and 3 times for the other area. (A "time" refers to a weekend for which there are vacancies at the ski lodge.) A trip plan involves the selection of a location, ski area, and a time.How many possible plans are there?
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
The percentage of households with a television tuned in to ad-supported cable increased linearly from 24.6% in 1995 to 42.5% in 2009. The percentage of households with a TV tuned into a major network decreased linearly from 47% in 1995 to 32% in 2..
Consider the set of points (x, y, z) defined by the set of equations below: Find a 2 x 3 system of linear equations having this set of points as its solution set.
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
Draw the decision tree.Show the Expected Monetary Value at each step? What strategy maximizes the dealer's profit and what is the Expected Value of Perfect Information value the dealer would place on knowing when the item will be sold
A paper bag contains a mixture of three types of candy. There are ten gum balls, seven candy bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag
Integrating a differential equation given the initial values and exponentiate both sides of the equation for to solve for P(t)
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
Determine whether the statement is true or false. If it is true, explain why it is true. If false, give an example to show it is false.
Sketching the graph of Cosecant function and identifying its asymptotes
Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
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