2017-2018 section 21 Quiz1 results - solutions
2017-2018 section 32 Quiz1 results - solutions
Extra questions about polar drawing from previous years recitations.
Solutions (2018) of some recitation questions, there might be evaluation mistakes please follow them carefully
Solutions (2018) of some previous questions, there might be evaluation mistakes please follow them carefully
In the following links there are animations of volumes by shell method disc method etc.
If you have problems about visualising application of integrals in finding volumes, take a look at those.
I think it can be helpfull for you to visualize the use of the methods we have learned while you are studying.
http://mathdemos.org/mathdemos/shellmethod/gallery/gallery.html Volume by cylindrical shells
http://mathdemos.org/mathdemos/diskmethod/diskmethodgallery.html (disc method)
http://mathdemos.org/mathdemos/washermethod/gallery/gallery.html (Slicing method)
Rational function integral examples (includes polynomial division and partial fraction)
Quiz 5 and alternative quiz 5 solutions
Section 33-59 quiz 4 solution
Some exercises for sections 33 and 59
20171 section 33 quiz solutions
· you can check cross sections of surfaces with the planes parallel to xy yz and xz axis
· you can change the surface view solid to transparent to see 3 dimensional shape better
· you can play with the coefficients A B C to see the stretching options better