Post difficult questions/helpful tips/arcane topics for AP CALC! (AB+BC)

Test Preparation
1

<p>basically post anything that'll help for the AP calc exam. ASK questions if you want too!</p>

<p>here's my contribution:</p>

<p>limit of sinx/x as x -> 0 equals 1 (same for x/sinx)
limit of (1-cosx)/x as x-> 0 equals 0</p>

<p>know newton's formula, know euler's method</p>

<p>question: how do you do washer method for cross sections. for example: when you have the area between a function and the x-axis as the base from some point to some point and the cross section is a equilateral triangle.</p>

2

<p>"know newton's formula, know euler's method" <-- for BC right?</p>

3

<p>ab and bc need to know that.</p>

4

<p>l'hopital's is really nice for limits....don't even bother memorizing the sinx/x or things like that</p>

5

<p>AB --NO EULERS METHOd, thats what the teacher said</p>

<p>right????</p>

6

<p>*** is eulers method and is newtons formula the thing that u like approximate a square root or something?</p>

7

<p>yes. something like that</p>

8

<p>ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm I never even saw a problem with Euler's or Newtons...</p>

9

<p>Euler's is for parametric equations. That's not on AB. I don't think.</p>

10

<p>AB doesnt need to know newtons method/eulers method</p>

<p>know def of derivative lim h --> 0 f(x+h)-f(x)/h
know a/1-r for finding power series, radiance of convergence</p>

11

<p>Euler's is not necessarily for parametric equations (although maybe it's applicable... I've never done it with them), but it is not in the AB curriculum, regardless.</p>

<p>Newton's method is (in the AB curriculum), though. (I think.)</p>

12

<p>in that case, what is newtons method?</p>

13

<p>newton method is estimating the zeros of a function based on a forumla</p>

14

<p>d^2y/dx^2 for parametrics: d(dy/dx)/dt/(dx/dt) <-- Note: dy/dx = (dy/dt)/(dx/dt)</p>

<p>I don't know Newton's formula. I thought we didn't need to know it. But with Euler's formula, I think it's:</p>

<p>y2 = y1 + dy/dx*s</p>

<p>Where y1 is the first number, dy/dx is the slope field value for (x1,y1), and s is the step size.</p>

15

<p>zetafunction, that's newton's method.</p>

16

<p>no, actually that is Euler's method</p>

17

<p>oh yea. dang what am i talking about?!</p>

18

<p>know Taylor and Maclaurin Series</p>

<p>also know the average value of a function, that was a question on last years test</p>

19

<p>average value...</p>

<p>1/[b-a] int. a-->b f(x) dx</p>

<p>correct?</p>

<p>or is it f(b) - f(a)/b-a...always get those confused.</p>

20

<p>remember that there are two different things one is average value and the other is mean value</p>

<p>I cant remember which is which,</p>

<p>check out your review book</p>