I have ln((V+v)/(V-v)) = 2ctV, and I've checked this is right. But how do I go from here to v = V((e^Vct - e^-Vct)/(e^Vct+e^-Vct))? The solutions just give them as successive lines.
(I appreciate that's not the easiest thing to read, it's taken from the 2004 MEI specimen paper for A-level...
I'm working on introductory group theory and am stuck on this proof. I don't even know where to start, so I'd appreciate any help at all!
"A subgroup H of a finite group G is said to be a normal subgroup if, for each element h ∈ H and each element g ∈ G, the element g^1hg ∈ H
Prove that if...
I'm doing this without a teacher, so this isn't really a homework question, but this still seemed the most appropriate forum.
I have the following question:
A square board, of side 2a and mass M, is to be used to estimate the speed of bullets. It is freely hinged about one horizontal edge...
I have the two series:
C = 1 + (1/3)cosx + (1/9)cos2x + (1/27)cos3x ... (1/3^n)cosnx
S = (1/3) sinx + (1/9)sin2x ... (1/3^n)sinnx
I have to express, in terms of x, the sum to infinity of these two series.
Here's what I've done so far:
Let z represent cosx + jsinx
C + jS = z^0 +...