Sunday, March 14, 2010

Ash's 30th Post

So, after an eventful week which consisted of taking and attempting to correct more AP Tests...I realize: there's only a few weeks left before the AP test. Begin utter freak-mode!

I'm going to ask lots of questions on this one:

Non-Calculator

13. The slope of the tangent line to the graph of 4x^22+cx-2e^y=-2 at x=0 is 4. Give the value of c.
How would I even begin that problem? My only lead: take a derivative. The end? =/

20. Compute lim x->0 (-(4x/sin(2x)) + x/cos2x)
Once again, I have no idea how to go at this.
The answer is zero and the only way I know this is because John tried to push us on the right path...MUCH APPRECIATED! =]

22. Determine 1S2 1/(sqrt(4-t^2))dt
For this...this is a trig identity? The answers all have pi in them, but now do you get pi out of this?

24. A particle's acceration for t>0 is given by a(t)=12t+4 The particle's initial position is 2 and it's velocity at t=1 is 5. What is the position of the particle at t=2?
You take the derivative, right? And then you plug in...what?
People have gone over these time and time again, yet I still do not understand them.

27. Compute the derivative of 0Sx^2 ln(t^2+1)dt
I remember that the derivative basically cancels out the integral...what next? Also, I never really understood how to plug in x^2 for t and all of that, so if anyone could go over that, I'd be very grateful! =]


It's very close to the AP test time and I don't feel like I know this still. I know what to do, mostly, but not how to do it still. When we fill out the keywords sheets (which I need to do for the past...2-3 AP tests...does anyone know where they're at?) I can do that easily! It's just actually computing and calculating the problem...does anyone else still feel like this? I know I asked this a while back on here and a bunch of you guys responded that you felt sort of the same and I was wondering if anyone was STILL kinda stuck...=/

I wish a good luck to everyone on this upcoming week! :D

3 comments:

  1. For the slope of the tangent line one, you need to find the y value first. So u treat c as a constant and plug in the x value to get y. Then you take a derivative, plug in the x and y values and set equal to 4. Then solve for c. Hope this helps!

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  2. find the y value first. treat c as a constant and plug in the x value to get y. Then you take a derivative, plug in the x and y values and set equal to 4. Then solve for c.

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  3. you plug in the x value to solve for y, then you take the derivative and plug in the x and y values and set it = to 4, then solve for c.

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