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A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;
f(x) = q , if x = p/q, properly reduced.f(x) = 0 , if x is irrational.
Prove that for every real number x, f fails to be bounded at x.
Note: f: A -> B is bounded if there exist a real number M > 0 such that |f(x)| <= M for every x in A.
MCIS 502 Mathematics in computing, Using members of the set {1, 3, 4, 5, 7, 8}, the next larger P(6,3) permutation after 342 is 343
A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions.
Total number of ways a customer can place the order, A bagel shop offers 14 varieties of bagels, 11 flavors of cream cheese, and 15 flavors of coffee. How many different orders for a bagel
Find the equation of the tangent line in slope intercept form of the curve given by: Sand is being poured on a conical pile at the rate of 12 cubic feet per minute, the height of the pile being three times its diameter throughout. At what rate is t..
Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet. Add a third equation figure to out the one point that all three conic sections meet.
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
The form of augmented matrices.
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
A system consists of three subsystems in parallel (assume operating redundancy). The individual subsystem reliabilities are as follows:
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
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