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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 baseball manager has decided who his 5 starting hitters are to be, but not the order in which they will bat. How many possibilities are there?
Explain Probability of birthdays. Are your best friends' birthdays dependent or independent events?
Question babsed on wff-formation rules. Let L be a language whose wff-formation rules are the following..
The law of cosines and Pythagoras theorem.
Discuss the case when b = 6. Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.
A traveler owing a gold chain with 7 links is accepted at an inn on condition that he pay one link of the chain for each day he stays. if the traveler is to pay daily and may be given links already used in payment as change
The Action Sports Network surveyed 265 of its viewers to determine which sports they watched most often. The results of the survey showed:
Test BMI difference for all twin pairs
Find the directional derivative of the function at the given point in the direction of the vector v.
An electrician charges a fee of $60 plus $45 per hour. Let C(x) be the cost in dollars of using the electrician for x hours. Find the linear cost function.
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
Probability mass function 2.) Suppose X has probability mass function Pr{X = k} = c(k + 2) for k = -1, 0, 1, 2
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