AP Calculus AB Study and Discussion Thread 2012

<p>I haven’t posted in a while but I was wondering how everyone’s class are going. I feel like my teacher is just giving us tons of free response questions now.</p>

<p>@Sparklersm, we’re starting the FRQs soon, right now we’re about halfway done with Solids of Revolution and Rotation. That’s our last topic and from then on it’s review.</p>

<p>How do you convert a limit into a derivative?</p>

<p>The limit of the difference quotient as the change in x approaches 0 is the derivative.</p>

<p>At the risk of sounding like an idiot: </p>

<p>What’s a difference quotient?</p>

<p>IceQube, check out this [url=&lt;a href=“http://archives.math.utk.edu/visual.calculus/2/definition.12/]link[/url”&gt;http://archives.math.utk.edu/visual.calculus/2/definition.12/]link[/url</a>].</p>

<p>We’ve reviewed the last two weeks. How about everyone else?</p>

<p>We’ve just finished displacement and total distance… My teacher tends to continually skip on test days and review days, so needless to say, we’re behind because she’s never here. We’ll probably start the hardcore review around April 13th or so</p>

<p>Couple of questions:</p>

<p>1) Are you allowed to write in cursive on the AP Calc test. E.g. instead of writing a regular f(x) I write a cursive f(x) - with a long loopy “f”? </p>

<p>2) Are you allowed to leave answers in the point-slope form: (x-x1) = m(y-y1)?</p>

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<p>1) I believe you can write in cursive as long as its legible.
2) Yes you are allowed to leave answers in point-slope form. My teacher always told me to leave in that form to reduce any chance in making errors converting it into any other form.</p>

<p>Well, I’m new to this thread. I didn’t know there was a thread for AP Calculus AB. This is very nice… :)</p>

<p>I just have one question: where are you guys up to now?</p>

<p>My class just finished all the lessons, and I am exhausted from all the hardcore math(I’m probably just whining…)</p>

<p>When finding the area bounded by two curves, I know that you have to set up multiple integrals when the two functions switch places (e.g. top -> bottom).</p>

<p>How are we supposed to determine where a function switches position from top to bottom? I know I can test points, but that’s a pain. I know I can also sketch the curve … but I’m not good at that. Is there an easy way?</p>

<p>To find point of intersection between two curves, always just set them equal to each other if they’re easy functions. If not, always turn to your calculator!</p>

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<p>Will the AP Calc test always put a finding the area bounded by two curves on the calculator enabled section of the test :o?</p>

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Probably… especially if the functions are nasty. If the functions are nice(like two lines) then you can do them by hand so you might not get a calc on those. I don’t think the AP exam is gonna be nasty enough to force you to do hard integrals by hand.</p>

<p>How do you guys prepare for class exams? I have one final exam in Calc before we switch into AP review mode, and I need to ace this exam to get an A in Calc. </p>

<p>How can I secure an A :o?</p>

<p>I’m having trouble with slope fields. How do you guys efficiently read them? Is their a trick to it or do you just have to be able to “see” the solution?</p>

<p>@IceQube I study for exams by going over my notes and homework, and watching Patrickjmt and KhanAcademy on YouTube about the material we’re getting tested on. Those guys are lifesavers.</p>

<p>When writing integrals, does CB consider it incorrect to state the limits as x = something or y = something?</p>

<p>If the integral is written with a dx then by definition the lower and upper limits of integration are written as x = (something) and x = (something else). I don’t think people usually write that next to the integral symbol because it’s assumed that this is the case due to the dx (and it probably would take up too much space). I find it a helpful habit for multivariable calc when you have variables floating all over the place and don’t want to lose track of them.</p>

<p>izelkay- if the choices are simple, then draw rough sketches of each equation and see if they match up to the given slope field.</p>

<p>Second thing you can do is see if the slopes are constant for all x or all y. For example if you see / / / / / / … /// … That tells you that the slope is constant for all x, so the correct equation will NOT have x in the equation.</p>

<p>third thing you can do is to plug in values for x and y, example plug in (3,4) and see if the slope at that point is possible for the given value of dy/dx</p>