<p>Click here to view the notes as a PDF</p>
<p>Any comments, and suggestions on how I can improve would be greatly appreciated.</p>
<p>I asked a related rates question on gamefaqs.com yesterday befor my exam, and then the poster after me asked how you could miinimize the SA of an oil drum with a volume of 1000 (or something to that effect). Well, I figured "ok, back to studying, no need to read into this guy's question". Crazily enough, the last question on my exam was THAT EXACT QUESTION.</p>
<p>Anyway, good notes, thanks.</p>
<p>It might help if you include one more example.</p>
<p>A common question that has been on a few AP tests is the "A liquid pours out of the object at a rate of xx while another liquid pours into the object at a rate of yy".</p>
<p>Lindsay, I will endeavour to do that, and thanks for that example.. but its amazing how tiring, and difficult, it is trying to write notes that you intend for others to use... I've made a lot of errors at the end, that I plan to correct today.</p>
<p>Thanks for the comments guys!</p>
<p>Very nice notes, vrumchev.</p>
<p>vrumchev, you did a fantastic job. I've never seen a more understable explanation of related rates. If textbooks could explain things the way you can 100% of calc students would get a 5 on the AP exam.</p>
<p>Related rates and optimization often seem to end up needing geometry area, volume, etc formulas. I'm sure many people have forgotten those. Does anyoen have a list of the most useful ones? Or does the AP exam usually give the formula?(I doubt it.)</p>
<p>No formulas are given.</p>
<p>For related rates, the most popular volume questions that I have seen are spheres, cylinders and cones. Similar triangles almost always appear in a RR question, but it's not like the formula is difficult. The question I referred to earlier usually utilizes cylinders and cones.</p>
<p>make sure you include the coffee filter example as that is probably one of the hardest related rates problem (as far as I've seen).</p>
<p>Does anyone haev an example of the coffee filter problem?</p>
<p>Thanks for the input, and kind words, guys... Although I've never seen this coffee filter problem, I will see if I can dig up a similiar question type, because I see what you guys are alluding to. I don't think I am going to update it with geometry formulas however, because you can get those just about anywhere...</p>
<p>I think the next set will be to do with Growth and Decay...</p>
<p>Lindsay, your example requires seperable differential equations.</p>