Related Rates Video: Square Area Heated
Raw Transcript
Hello everyone, Tom from everystepcalculus.com, we are going to do related rates versus a square and the area how it increases the feet, letís get started.
Index 8 to go to my menu and since its related rates average rate of change is the same as related rates, Iím going to press 2 here and wait for it to load here for a second and weíre going to scroll down because when you have an arrow like this it shows you thereís more in the menu and itís all alphabetical, so we want to get square area, this is problem number 7 book and so we want to do that, we want to show you how itís done. Related rates always deals with the calculus formula of theyíre dealing with and then you differentiate that on both sides with respect to time and weíre asked to find the change in area which is the derivative of A versus change in time and here is the actual formula for area and you write this all in your paper, this is exactly what you should write and theyíve given us the side in this problem number 7, so you have to put in, first you have to press alpha before you enter anything into these entry lines here. Alpha 12 is given, centimeters and the side is increasing, so they give you alpha .08 and thatís per minute instead of seconds, I gave that choice in my program, itís pretty neat there. So you have 12 centimeters per side and you have ds/dt which is the change of the side with respect to time .08 cm/mn, Iíd always give you a chance to change your in case you made a mistake, Ok and here is the answer. Pretty simple but remember you can do these problems for the rest of your life if you get these programs, if you get my programs versus if you just memorize it now and forget it later, so everystepcalculuc.com, go to my site, buy my program, pass your calculus class and also subscribe to me so you can see other videos and blog.