Homework Statement
I have to determine whether or not the following sequence is convergent, and if it is convergent, I have to find the limit.
an = (-2)n / (n!)
In solving this problem, I am not allowed to use any form or variation of the Ratio Test.
2. The attempt at a solution
I was...
Homework Statement
Use the substitution ##u=\frac{\pi} {2}-x## evaluate the integral ##\int_0^\frac {\pi}{2} \frac {\sin x}{\cos x + \sin x}dx##.
Homework Equations
[/B]
##\cos (\frac {\pi}{2}-x)=\sin x##
The Attempt at a Solution
[/B]I start by plugging "u" into the equation making the...
Homework Statement
Here are the problems
http://imgur.com/a/kbtPS
The problems I need help with are 1 and
4(a)
Homework Equations
The second fundamental theorem of calculus
The Attempt at a Solution
For problem 1, I calculated the areas under the curve (using remmien summs) and tried to find...
I'm trying to practice for my final. The sample problem is:
"Find the volume of the solid generated when the region bounded by y = x4and y = x1/3, 0<=x<=1, is revolved about the x-axis."
To start, I set the two y equations equal to each to find the points of intersection.
x4 = x1/3, : raise...
Homework Statement
I have this function f(x) = \frac{6}{1+49x^2}, and i suppose to represent this function as a power series \displaystyle f(x) = \sum_{n=0}^\infty c_n x^n. Then i need to find the first few coefficients in the power series.
Homework Equations
The Attempt at a Solution...
Homework Statement
Find the exact length of the curve: y= 1/4 x2-1/2 ln(x) where 1<=x<=2
Homework Equations
Using the Length formula (Leibniz) given in my book, L=Int[a,b] sqrt(1+(dy/dx)2)
I found derivative of f to be (x2-1)/2x does that look correct?
The Attempt at a Solution
I found f'...