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1. Give a counter example, i.e., a metric space and a sequence, that disproves theclaim: Every Cauchy sequence converges; and then prove this example is Cauchy sequence and not converges.
2. On the other hand, give an example of a metric space in which every Cauchy sequence converges; and then prove this metric space is Cauchy sequence and also converges.
A ball thrown vertically upward at time t=0(s) with initial velocity 80 ft/s and initial height 96ft and height function of y(t) = -16t^2 + 80t + 96. What is the max height attained by the ball?
In a second grade class containing 15 girls and 7 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl? Whic would be the correct ..
I wish to find the general nontrivial solution to the fourth order ODE with boundary conditions
Simulation of an expectation. Design a simulation exercise in R to approximate the value of E ( X^X) when X has a U [0,1] distribution. Plot the value of the approximation as the sample size goes from 1 to 10,000
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;
What systems of equations can be solved by graphing or using substitution or elimination? Which method do you like best and why would it be different method. How would you answer this question?
Find Probability of Drawing Cards. You draw two cards, which end up being Saddam Hussein and another one with his cousin Chemical Alia?.
The trigonometric expression to estimate the value
Prepare the equation of the rectangular hyperbola - Find the equation of the rectangular hyperbola
In a survey of 250 dancers, 167 knew the ballroom dances, 140 knew the Latin dances, and 106 knew the swing dances. Of these, 65 knew the ballroom and swing dances
Which of the following is the complete set of numbers for which the function f(x) = 3x^3-6x^2 is convex?
Find the coordinates of the x-intercept. Find the domain and range of the relation, and state whether or not the relation is a function.
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