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Series convergence.
a) Prove, using the definition, that the following sequence converger:√n/(n + 1)
b) Using the definition of a limit of a function to compute the limit:
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
If 2 cards are drawn from a regular deck of 52 cards without replacement, what is the probability that the second card is a queen? (Note: your final answer must be a single probability)
Suppose X, Y and Z are random variables with joint density funciton f (x, y, z) = Ce^-(0.5x+0.2y+0.1z) if x>0, y>0, z>0 and f(x, y, z) = 0 otherwise.
train A travels at a speed of 40mph and train B travels at a speed of 60mph. Train A passes the station at 1:25, at what time will train a catch up to train B
If there 5 sections of Discrete Math with a total enrollment of 31 students, what is the smallest possible number of students in the section with the largest enrollment?
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
There were 116 fewer blue balloons than white ones. How many balloons of each color did Marty inflate?
The volume of a cylinder(think about the volume of a can)is given by v=pir^2h where r is the radius of the cylinder and h is the height of the cylinder.
find the margin of error for the sample proportion, given a sample size of n = 1200. Round to the nearest percent.
a rectangle is 3 times aas long as it is wide. if the lenght is increased by 6 and the width by 8 the area is increased by 109 find the original dimensions.
Compute the probability based on the distribution.
A rectangular garden is going to be fenced in as shown below to enclose 112ft squared. if the outside fence costs $3 per foot and the interior costs $1 per foot, what are the dimensions that minimize cost.
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