Answer:
Purplemath
The first term in the binomial is "x2", the second term in "3", and the power n is 6, so, counting ... x12 + 18x10 + 135x8 + 540x6 + 1215x4 + 1458x2 + 729 ... So memorize the Theorem and get the easy points.
The particles that are usually in a much higher energy usually comes from the magnetic field of the Earth in which it is trapped consisting the Van Allen radiation belts. In addition to that, these radiation belts are somewhat essential because it protects satellites orbiting the Earth from the Sun's high energy radiation.
Answer:

Explanation:
To calculate the force we need to use this equation

where L is the total length of the wire
So in this case the small element of current is

Because x is the direction of the current flow.
As is said in the problem B is such that
![\vec{B} = B \hat{j} = 0.62\hat{j} [ T]](https://tex.z-dn.net/?f=%20%5Cvec%7BB%7D%20%3D%20B%20%5Chat%7Bj%7D%20%3D%200.62%5Chat%7Bj%7D%20%5B%20T%5D)
so to use the equation above we first calculate the following cross product:

so the force:
So here we use the fact that B=0 in any point of the x axis that is not
, that means that we only need to do the integration between a very short distant behind the point
and a very short distant after that point, meaning:

so is the same as evaluating
at 
that is:



