http://calc3.askbot.com/questions/Open source question and answer forum written in Python and DjangoenCopyright Askbot, 2010-2011.Thu, 24 Jul 2014 10:40:31 -0500http://calc3.askbot.com/question/165/graphical-explanation/Can someone give a graphical explanation (pictures please) as to how you can find the answer to question 1b of todays worksheet? $$\int_0^1\int_0^{\sqrt{1-x^2}}\int_0^{\sqrt{1-x^2-y^2}}1dzdydx$$ No one in my group could really grasp what McClure was saying in class.AnonymousThu, 24 Jul 2014 10:40:31 -0500http://calc3.askbot.com/question/165/http://calc3.askbot.com/question/109/more-matching-of-groovy-plots-and-functions/So I'm having a hard time determining the difference between plots $I$ and $II$. I know that they are both either $f(x,y)=\cos(x^{2}+y^{2})$ or $f(x,y)=e^{-(x^{2}+y^{2})}$. But I can't think of a way to tell them apart. *Comment*: They both have circular symmetry but only one has some sort of wavy behavior.SpaceManSpiffWed, 16 Jul 2014 20:48:15 -0500http://calc3.askbot.com/question/109/http://calc3.askbot.com/question/67/how-do-i-match-the-groovy-equations-with-the-groovy-pictures/The in class worksheet from Tuesday, July 8th, had several functions to match with the images on the back. I am having trouble matching them all. I would like to post the answers I think are correct and wait for others to respond with theirs. Any tips on matching them would be great! If you visualize the images on the back as a matrix, my answers are as follows C D E F B A Thanks... COMMENT: I don't think we can edit anyone else's post, only our own. At least I can't...Tiffany, all I did was use the space bar and it auto gave be the cool box! ChristinaWed, 09 Jul 2014 09:46:23 -0500http://calc3.askbot.com/question/67/http://calc3.askbot.com/question/64/does-anyone-know-any-tips-or-ideas-on-visualizing-the-functions/I am having trouble matching the functions from the problem sheet that we did today (July 8) and I was wondering if someone could explain how they are matching the functions with their pictures or if they have any ideas of how they can be matched. I do know know how to create the pictures online but it is number 7 on the problem sheet. asmith14Tue, 08 Jul 2014 16:57:54 -0500http://calc3.askbot.com/question/64/http://calc3.askbot.com/question/53/how-do-i-accurately-visualize-and-describe-level-curves/For the 14.1 homework tonight, many of the problems ask you to describe the level curves of the function. I understand how to do the rest of the problem, but how does one visualize what the level curves will look like? Is a 3D graphing program necessary, or is it possible to look at the function and tell? For example (Exercise 14.1.1), let $ f(x,y) = (x−y)^2$. The level curves of this function looks like lines of slope $1$... how could one tell that from the function alone? *Comment*: We haven't covered level curves in class, but they will be **major** when we get back after the fourth of July!!JustinWed, 02 Jul 2014 14:16:17 -0500http://calc3.askbot.com/question/53/http://calc3.askbot.com/question/35/matching-functions-to-pictures/Does anyone have a particular way of matching some of the more complicated circular functions to the pictures in the in-class sheet and test review? When the function combines linear and circular motion I find it easier to break them apart and visualize them, but I have more trouble picturing what is going on with the functions that compose a lot of circular motion, such as $\vec{p}(t) = 2\langle\cos(t), \sin(t), 0 \rangle + \langle \cos(t), \sin(t), 0\rangle + \langle 0, 0, 1\rangle \cos(22t)$. I am probably going to try to graph a lot of these in Mathematica or Woflram Alpha, but I was wondering if anyone had a particular way of visualizing these functions or determining what is going on with one.DylanTue, 01 Jul 2014 07:26:16 -0500http://calc3.askbot.com/question/35/