I understand what you're saying now. All the sections of calc 1 take the same calc 1 final, and all the sections of calc 2 take the same calc 2 final. It was done that way at my university as well.
That's a bit different from what you originally said, which was
meaning that calculus 1 and...
You can really go straight to PDE after calc 3? Interesting. I had to have ordinary differential equations and a semester of matrix/linear algebra done before I could take PDE. I always figured that was kind of the standard. Though, from what I remember, the linear algebra probably wasn't...
What makes you think that 16,000 seconds (over 4 hours) is too long? Normally when you do a sanity check, you have a range of acceptable values in mind to compare your answer to. What value were you expecting that is making you think you did something wrong?
A mole of protons is approximately...
As always, don't hesitate to ask any questions. This is a good problem because it involves a number of core concepts, but that is also what can make it hard.
Merry Christmas!
Perhaps more clearly, it is when \vec{E} is parallel and when it is perpendicular to the plane of incidence. You need to draw a diagram, or at the least, find one to look at. That should clarify the difference as well as to help you set up your equations.
Take a look at the diagram here...
Your plan doesn't make any sense to me. Since you don't want to go to graduate school in physics and want to work as engineer, what is the point of getting the degree in physics? While it's certainly far from gloom and doom for physics majors in the job market, it's no secret that, nationally...
All you have to do to get your teacher's form from here is apply Snell's law and simplify. Since you've arrived at the main result, for closure, I will go ahead and carry out the last calculation.
By Snell's Law, we have that
n_i\sin{(\theta_i)} = n_t\sin{(\theta_t)}
\\~\\
n_i = n_t...
Just so it has been said, talk to your advisor as soon as possible.
Firstly, are you sure you're even able to move on to physics II? As far as I know, it's generally required that you need to get at least a C to not only move on but for it to count toward your degree. While it's true that a D...
Recall that the irradiance (also called intensity) falls off as 1/r^2 (just think of the flux through spherical surfaces centered on the source) and is also proportional to E^2 (shown in just about every book, even if not derived). Putting both together,
I \propto 1/r^2 \propto E^2 => E \propto 1/r
Magnitudes don't add that way unless the vectors are parallel and so you need to solve the triangle using the law of cosines.
For example, if the angle between A and B were 0, then by the law of cosines
c^2=a^2+b^2-2ab\cos{(0)}= (a-b)^2
\\
c = |a-b|
Which is what you tried to do but the...
The homework format you ignored is not as much a suggestion as it is a forum requirement.
What equations do you think are relevant?
Where is your attempt?
Also, you should state the entire question and all relevant information exactly as it was given.