Post something

Okay so for my blog this weekend...I don't really know what to post.. My mind is so boggled down atm from doing so many things at once today :o

Anyway, some tips and help on a few things...

If they give you a graph...that CLEARLY consists of triangle and rectangles...and it says find the area under the curve from 0 to some number...All you do is split it up into triangles and rectangle...find the area of each rectangle and triangle (remember, rectangle is length times width and triangle is 1/2 times length times width) and then add all the numbers on the top and subtract any numbers from below the axis from that...and there you go, you just got easy points ;-).

Also, don't forget to be using your trig identities...for example

The problem on the test was some integral of

sin(2x)e^(sin^2(x))

Most of you set your u to sin^2(x) and took the derivative as 2sinxcosx....but you all stopped there! Don't stop, 2sinxcosx is actually in the problem. If you will, jump back into the time space continuum and remember the trig identities test and think...okay...sin...double angle formula...OH, i know. sin(2x)=2sinxcosx. So the whole time it was already there. So you can now proceed on with the problem e^u, integrate it and do whatever definite integral it wants you to do. do not forget to use trig identities.

Also, people people people. It gives you a function...and it asks where is the slope of the tangent line equal to 6...what do you do? Just take the derivative and set equal to 6 and solve...that one was a no-brainer that a LOT of you missed.

Let's see...what else...oh, yeah.

Instantaneous speed: take a derivative, plug in the number. Simple as that. Don't miss this please--this is like zomgfreemonies except its points...and it's on the AP.

Once again...I can not reiterate enough the following:

Original - Position
1st Derivative - Velocity
2nd Derivative - Acceleration

Also, displacement refers to the area under the position curve...so if it gives you a formula for displacement, i am pretty sure you take the derivative of that to get to position...so that will change things.

Original - Displacement
1st Derivative - Position
2nd Derivative - Velocity
3rd Derivative - Acceleration
4th Derivative - Jerk

and so on and so forth....so just remember where you are in the line of things and you will be fine by integrating or deriving... (zomg we integrate and take derivatives? crazy ... i didn't think calculus did that)

Anyway, I'm tired of typing and slightly delirious if you haven't noticed...

ZzZzZZZZzzzzzzzzz............