@meliwazhere Yes. For the arcsin/cos/tan derivatives, I’m pretty sure you can just derive the formulas during the problem
@hilariousbanana I doubt Newton’s Law of Cooling will be on the test. Know the logistic growth equation though, and how to set it up, etc.
@meliwazhere You should know all of your derivatives. It’s not that hard to memorize it. In fact, you should also know your maclaurin series, which is harder to memorize than these?
@hilariousbanana Yes it may be on the test, but it is basically the same as the other differential equations.
Do we need to know hooke’s law or whatever its called?
I think you just have to know work=force*distance, right?
For differential equations, you often get: Ae^kt, what does the A stand for and how do you find it?
I know for other differential equations P=P(0)*e^kt do the P(0) in this instance and the A in the above post mean the same thing?
Logistic differential equations? Isn’t it kY(A-Y), where A is the carrying capacity?
can someone explain how to integrate the work function and the limits and all that?
^Can you give me an example equation?
There’s so much darn material we need to know… Ima be staying up till 3 am trying to re-learn all this stuff
@juicymango any of those questions about getting water out of a pool or lifting a chain over a cliff - that kind of stuff
So generally you have dP/dT = kP
dP/P = k dT
lnP = kt
P=e^(kt+C)
P=e^kt*e^C
P=Ae^kt
@blargenshmargen lol good luck.
And don’t forget the “+C” part when you integrate an indefinite integral. Plug in an initial value ‘x’ to yield the value of C that gives the correct value of ‘y’.
So genrally local extrema are points where f’=0, and absolute extrema includes endpoints?
I think the best way to study for ap exams is to just watch tv or play a video game the day before so that it relaxes you…you don’t want to stress yourself out staying up late at night and doing math problem after math problem. You’ll do more than enough math problems during the test.
@JuicyMango problem is that our calc class finished the material over a month ago so I haven’t been doing any studying for the past month lol
Aww that’s a bummer. Well at least you really don’t have to learn any new concept, just review and refresh everything which shouldn’t take too long.
Does anyone know how to write the correct notation of langrange-error bound and alternating series error?