The limit n->infinity I have to compute is:\frac{n\cdot \log ^{5}(n)}{n^{2}}Should I use L'hopital's rule? If I do, I have a problem:
First I simplify and get:
\frac{ \log ^{5}(n)}{n}
Taking the derivative of the top, and the bottom leads to:
\frac{\frac{ 5\log ^{4}(n)}{n}}{1}
At this...
Homework Statement
Hi,
I just have a basic question regarding an asymptotic tight bound question.
The question is :
TRUE / FALSE
http://latex.codecogs.com/gif.latex?3^{n+1} \text{ belongs to } \Theta(3^{n})
By definition of big theta:
c_{1}g(n) \leq f(n) \leq c_{2}g(n) \text { }...
Hey guys,
Im trying to figure out how the angles for the following sphere are obtained.
x^{2} + y^{2} + z^{2} = 4, y = x, y = \sqrt[]{3}x, z = 0
I understand that the integral is:
\int_{0}^{\pi/2}\int_{\pi/4}^{?}\int_{0}^{2}
However, I can't not see how the "?" interval is...
The question states:
Find the center of mass of the solid that is bounded by the hemisphere z = sqrt(21 - x ^2 - y^2) and the plane z = 0 if the density at a point P is directly proportional to the distance from the xy-plane.
I know that the integral is setup :
m =...
I have to evaluate the line integral :
\oint_{}^{} (2x + y)dx + xydy between (-1,2) and (2,5)
on the curve: y = x + 3
So, what I did was:
\int_{-1}^{2} (3x+3)dx + \int_{2}^{5} (x^{2} + 3x)dx
However, this is wrong and I am not sure why!
Can someone please guide me?
Thanks alot!
http://containsno.info/mq.JPG
The problem says evaluate the double integral (x + y)dA over the dark region shown in the Figure:
I set up the integrals like this:
\int_{0}^{\pi /2}\int_{2sin\o }^{2} (rcos\o + rsin\o)rdrd\o
Is this correct?
Thanks a lot everyone