Recent content by TheLegace

A rock (volcanic bomb) is launched out of the mouth of a volcano during eruption. a) At what initial speed would a bomb have to be ejected, at 35 degrees to the horizontal, from the vent at A in order to land at the foot of volcano at B b) What would be the time of flight? Delta d x= 9.40 km...

Ok, I have missed one huge glaring detail, that x is defined as x=[q^2L/2(pi)mg)]^1/3, I guess taking the derivative of this will result in the answer I am still trying to work it out, but it is not a simple derivative. If someone could please help a little. That would be great. Thank You.

Homework Statement Assume each ball is loosing charge at a rate of 1.20nC/s, as what instantaneous relative speed do the balls approach each other initially. m=11.2g L=122cm x=4.70cm http://img40.imageshack.us/img40/9708/electballs.jpg Homework Equations I figured since the value...

Thank You, I finally realized that since dq is being taken it will be subtracting the x, looking at geometry I was able to figure it out, but thank you very much. Now is the integral easy to take? How would one take it?

Homework Statement I was just wondering if I had done this problem correctly Take the rod axis to be the x-axis and the lefthand end of the rod to be x = 0. Assume lambda is not constant but that lambda = μx where μ is a constant. What are the units of μ? Find the force Vector F on the...

Oh whoops, ok well having that in there, how could I continue this problem?EDIT: I see how this can be solved, substition method. Thank You.

Homework Statement Find area of surface generated by revolving about x-axis. y=x^3/3 1<=x<=sqrt(7) Homework Equations find f'(x) = x^2 The Attempt at a Solution A = integral[ (x^3/3) * [(1+(x^2)^2] ^(1/2) ] ]dx = integral[ (x^3/3) * [(1+x^4) ^(1/2) ]dx I just don't know...

Ok... Prove : a>1, b>1 f(x) = O(log_b (x)) then f(x) = O(log_a (x)) |f(x)| < C |log_b (x) | for all x>k |f(x)| < |log_a (x) / log_a (b) | for all x>1 then f(x) = O(log_b (x)) = O(log_a (x)) when k=1 C=1/log_a (b) I am just hoping to know if that's correct. Thank You Very Much...

Homework Statement Hi, I am trying to prove for a>1, b>1 that f(x) = O(log_b(x)) then f(x) = O(log_a(x)). [Hint: log_b(x) = log_a(x)/log_a(b)). Homework Equations The Attempt at a Solution Assuming |f(x)| <= C|log_b(x)| true for x>k, then, f(x) <= log_a(x)/log_a(b)| for all x>1...

Homework Statement Hi, I am trying to solve this problem: I want the Big-O Estimate for this problem (n*logn + 1)^2 + (logn +1)(n^2+1)Homework Equations now only real problem comes when I try to do the square of the first term. I just don't know what (n*logn)^2 would be equal, it may be a it...

Homework Statement Hi, I have been having huge problems with dealing with these kinds of problems, I would appreciate atleast some guidance in dealing with these sorts of problems, I think the major problem is just how I learned to solve them, I have been looking for resources on the net, but...

Hi, sorry one last question. For the ranges are you accounting for the floor(x+2), the +2 part of function, because, if g(x)=-2, then x+2=-2, the largest negative value that could be will be -4, and -3, so maybe -2<x+2<-1, then -4<x<-3, correct, beause the answer needs to be shown in that way...

Oh my apologies I made a mistake, you are right, I am working on some inverse function stuff and typing functions gets me confused very easily. But thank you.

Oh wow, I actually understand it now. Thank You Very Much. I am thinking that when you find inverse of a function you get some sort of function, and maybe a distinct values, but I see that it is just the way things are mapped in each respective set, since the floor function yeilds an integer...

Homework Statement Homework Equations find g^-1({-2,-1,0}). These problems really throw me off, in my textbook there is a similar problem but with x/2, and the inverse of the function yeilds a range of values. I would like to know if the same is true here. The Attempt at a...