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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.
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to ch..
If A and B are subsets of a group G, define AB = {ab | a 2 A, b 2 B}. Now suppose phi: G -> G0 is a homomorphism of groups and N = Ker(phi) is its kernel.
Find a vector in R5 which is not a linear combination and find a vector equation for the line through the points
What does the graph look like- describe the x placement. What is the graph function called? Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are..
Let 'y' be the value of a house (in thousands of dollars), 'x' is the years after it is purchased. Some pairs of values are listed in the table below.
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0.
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
Probability of payment before creation of credit policy, Mucklehoney Sports operates a mail-order running shoe business.
Determine the number of turns made by a wheel to cover a well known distance using perimeter of circle.
If the minute hand and the hour hand on the clock both start at 12:00 when will the two hands first coincide? How many times will they coincide in 12 hours?
Given 2 variable of initial value of Pint*Vint obtain final value of Pfinal*Vfinal after undergo an infinitesimal changes.
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