Answer:
AAS
Step-by-step explanation:
Let
The curl is
where denotes the partial derivative operator with respect to . Recall that
and that for any two vectors and , , and .
The cross product reduces to
When you compute the partial derivatives, you'll find that all the components reduce to 0 and
which means is indeed conservative and we can find .
Integrate both sides of
with respect to and
Differentiate both sides with respect to and
Now
and differentiating with respect to gives
for some constant . So
The problem is asking us to isolate B. The given equation is solved for P, and we need to rearrange it for B.
First we need to square both sides. This will cancel out the square root on the right side.
P^2 = E + A^2/B^2
Next, subtract E from both sides.
P^2 - E = A^2/B^2
Next we need to get the B^2 out of the denominator. Multiply both sides by B^2.
B^2(P^2 - E) = A^2
Next divide both sides by (P^2 - E).
B^2 = A^2/(P^2 - E)
Lastly, take the square root of both sides.
B = sqrt(A^2/(P^2 - E))