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There are more functions from the real numbers to the real numbers than most of us can imagine. However in discrete mathematics we often work with functions from a finite set S with s elements to a finite set T with t elements. Then there are only a finite number of functions from S to T. How many functions are there from S to T in this case?
Find the volume of the solid region which lies under the surface z = x2y and which lies over the parallelogram with vertices (0,0), (0,1), (6,0), and (6,1).
Prove that in Sn with n > = , any even permutation is a product of cycles of length three. Hint: (a,b)(b,c) = (a,b, c) and (a,b)(c,d) = (a,b,c)(b, c, d)
Find the revenue function R(x) from the sale of x pairs of running shoes, and state its domain. Evaluate the marginal revenue at x=325 and x=425 and interpret the results.
snow began to fall during the morning of february 2 and continued steadily into the afternoon. at noon a snowplow
He then traveled 24 km at a speed that was 4 km h slower. If the total time for Tims trip was 8 hr, what was his speed on each part of the trip?
question 1. evaluate the following recurrence relations but do not solve. make sure to state for which values of n your
Suppose you win a lottery and you can take either $1400 in a year or $1000 now. Suppose also that you can invest the $1000 now at 6% interest. Decide which is a better deal and by how much.
Standard deviation, Variance and Covariance. Calculate the standard deviation and variance of each set data, and covariance.
a baseball team has home games on thursday and sunday. the two games together earn 3725.50 for the team. thursdays
Choose the equation for the hyperbola centered at the origin with the given characteristics:
a bag contains nickels and quartersthere are 6 more nickels than quarters.the ttotal value of coins in 4.50. how many of each coin are there?
you have two biased coins. coin a comes up heads with probabaility frac14. coin b comes up heads with probability
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