Post #24

ALLLLRRRIGHTT!!..I survived another week of calculus! =)
and the best part is that I'm managing to pull off a 93 all of a sudden and believe me I'm NOT complaining..that's amazingg!!! =)
so it goes to show yall that you can make 0s on your AP but as long as you continue to practice and do homework and do the wiki and of course THIS then you can pass desently.

so I have A LOT of questions:
~I thought I knew how to find the Equation of a Tangent line, Turns out, I DON'T..
~I thought I knew linearization pretty well also, once again, I DON'T...
~ln and e intergration ... helpp!!
~on the non-calculator portion: number 7..relative max of ln[x] divided by x..
do you take the derivative?..giving you [x(1/x)-ln(x)] over (x)^2..
then do you set it equal to zero?..giving you x=ln(1)...
~on the non-calculator protion: number 13..integrate e^u divided by 1+e^2u
I know you have to integrate..but how do you integrate e?
and some sort of way it gives you tan inverse..ik that the bottom could give me that but i still don't see how the answer manages to be tan inverse e^u plus c
~ARE WE GOING OVER THE CALCULATOR PORTION WITH MRS. ROBINSON LIKE WE DID TODAY FOR THE NON-CALCULATOR PORTION??...I hope so, because I really need that!..if not then here are a few more questions i need answered:
~numbers 30,31, and 32..I don't know where to begin!
~number 34...what do I do when I see that they want to know what the domain of something is?
~number 36...why is it E?
~number 40...I know I have to integrate what they give me...twice in order to see the orginal equation, but the square root of x and the cosine cubed messes me up every time!!...HELP!
~WHAT'S THE ANSWER TO 41 ... I guess I missed that when she was calling it out to us!

sooo...
let's go over what to remember:
~limits are always on the AP so know that if the exponents are the same you look at it's coeffients, if they are different then you look at where the highest one is: if it's on the top then the limit is infinity, and if it's on the bottom the limit is zero.
~know the definition of a derivitive means to take the derivative of the part that has the h in it and then plug in whatever number is with the h into the derivitive to get your answer
~know that when you see [x] meaning the greatest integers or w/e..it's the ladder graph!
~to find where something increases take the first derivative, solve for x, make intervals with what you have, plug in to the derivative and see where they increase by whether or not they are positive or negagive.
~remember that for ln they try to trick you by putting the front term as the exponent!!
~slope fields...I dont know why but those are my favorite!..=)
~know that in order to find slope you do y2 minus y1 divided by x2 minus x1...

EXAMPLES:
~LRAM is to make a point on the graph and go to the left to make a rectangle
~RRAM is to make a point on the graph and go to the right to make a rectangle
~TRAM is to make a point on the graph and connect the points by making a rectangle
~MRAM is to make a point on the graph and go half to the left and half to the right and form a rectangle
DEPENDING ON WHERE ALL OF THESE ARE ON THE GRAPH, you'll know if it's under/over and by knowing that you can see what's greater than what

~find the limit of x=3 on (x+3)/((x)^2-9)
you know that you can take the bottom and factor it out giving you (x+3)(x-3)
the (x+3)'s will cancel leaving you with 1 over (x-3)
plug in 3 since that's what the limit is, giving you:
1 over (3-3) which is 1/0
THEREFORE...IT'S NONEXISTENT, UNDEFINED, OR DOES NOT EXIST

see yall monday...& DON'T FORGET TO WHERE SAINTS CLOTHES ALL WEEK =)
~ElliE~