Homework Statement
Find the Taylor series of f(x) = x2ln(1+2x2) centered at c = 0.
Homework Equations
Taylor Series of f(x) = ln(1+x) is Ʃ from n=1 to ∞ of (-1)n-1xn/n
The Attempt at a Solution
I have worked the problem to
(-1)n4nx2n/n
I am not sure where to go from here...
Homework Statement
Find the Taylor Series for f(x) = 1/(1-6) centered at c=6
Homework Equations
∞
Ʃ Fn(a)(x-a)/n!
n=0
The Attempt at a Solution
I believe that the nth derivative of 1/(1-6x) is
(-6)n-1n!/(1-6x)n+1
So i figured that the taylor series at c=6 would be...
Homework Statement
I am very confused about the differences between a conducting and nonconducting spherical shell. The biggest problem that I am having is the way that electric fields act both inside,outside, and within these shells. Any explanation would be much appreciated.
Question
A thin nonconducting rod with a uniform charge distribution of positive charge Q is bent into a circle of radius R. The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at...
Homework Statement
A uniform electric field points in the –y direction with magnitude 325 V/m. Find the electric potential difference VB-VA between the points A at (-0.200, -0.300) m and B at (0.400, 0.500) m.
Homework Equations
∆V=-int(E . dl)
(Dot Product)
The Attempt at a...