rhanalynn

I am having a hard time on this proof, any help would be appreciated:

Show that there exists a rational number a and irrational number b such that a^b if irrational.

The distribution function of a random variable x is given by

F(x) = {0 if x < -3

3/8 if -3 <= x < 0

1/2 if 0 <= x < 3

3/4 if 3 <= x < 4

1 if x <=4

Calculate E(X), E(X^2 - 2absX), and E (XabsX)

I am so lost, I would appreciate help with a summary. I would greatly appreciate it and will choose a best answer!!!

If a and b are positive integers such that 1/a + 1/b = 1, then a is even or be is even. How can I prove this via the contrapositive?

I have no idea on where to even start with this one. Any help would be greatly appreciated.

This one is making my head hurt, please help!

In front of an office there are 13 parking spots in a row, where cars are parked randomly when people arrive. Jeff parks his car in the only empty spot left when he arrives. On his return to the car after work, he finds 7 empty spots. If he has not parked his car at either end of the parking area, what is the probability that both of the parking spaces that are next to Jeff's car are empty?

An explanation would be much appreciated behind the reasoning. I greatly appreciate it.

A club of 136 members is selecting a president, vp, secretary and treasurer. If 2 of the members refuse to serve together, in how many ways can the four people be chosen?

Am explanation on how to set this up would be much appreciated!

Prove that the event B is impossible if and only if for every event A,

A= (B intersection A^c (complement)) U (B^c (complement) intersection A)

Please help!

What if an eigenvalue is the same as the first entry in the reference matrix. I have a matrix [ [1,2],[0,3] ] and came up with eigenvalues lambda = 1 and 3. When you go to solve for the eigenvector associated with lambda =1, I have come up with a reduced matrix [ [0,1], [0,0] ] and I'm not sure what the eigenvector is here, considering that there is no entry in the first row of the first column?

For lambda = 3, I am coming up with a vector [1,0]

Help!

I am having a hard time finding the limit for the following, please help!

Lim as x goes to infinity of

((x+1)/x)^x

Thank you!

Please help me integrate!

dx/(x^2+x+1)

What am I missing here, I cannot figure out how to integrate the following:

[sin(x) * cos (2x) ] dx

Help!

I am at a loss as to how to integrate the following, any ideas to help me along the way?

dx/(x*(x^2+x+1))

Thanks!

I am at a loss as to how to integrate the following, any ideas to help me along the way?

dx/x*(x^2+x+1)

Thanks!

I am having a hard time with the following integration, please help! It is a limit problem, as this is supposed to be integrated over the definite integral (-infinity, 2)

(dx/(x^2+4), x, -infinity, 2)

Having trouble integrating the following, please help!

dx/(x^3+2x)

Thanks!

I'm stuck on integrating this one, please help!

x^2/((5 + x^2)^(1/2))

I am having problems on where to go with this parts integration problem, help!

arccos (2x) dx

Having a hard time with integrating the following, using parts.

dx/(x^(1/2))*(3^(x^(1/2))

I'm just not sure to use for the parts here -- help!

Having a hard time with integrating the following, using parts.

ln(x^2 + 1) dx

I'm just not sure to use for the parts here -- help!

Any opinions on the best birthing center (hospital). I am newer to the area, and I'm just not familiar with the hospitals. I live in Littleton, but would be willing to drive to the surrounding areas. Any advise would be appreciated!

I need help with the following problem:

Limit as x ---> 0+ of x^(1/x)

I get the limit to be (1/x), which make this undefined, and I think I'm missing something along the way.

Thanks for any help!