Spring+Week+06

toc Monday 2/8
Today we had bundles of fun determining the volumes of several different objects with weird cross sections. Here are the problems and solutions.

media type="custom" key="5325145" width="608" height="608"

Tuesday 2/9
Today in class we worked in groups to find the volume of a giant Hershey kiss. There are different ways to do this problem, but the way we did it was by sketching the shape of the kiss and trying to find an equation, that when rotated about the y axis, would look like the shape of the kiss.



We found the point of inflection and plugged that point into the equation f(x)=-a(x-h)^3+k

Wednesday 2/10
Today in class we went over last night's (tuesday) homework problems. They came from various AP exams and were both calculator and no calculator. They reveiwed the concepts on our test tomorrow (thursday).

media type="custom" key="5342561" width="440" height="312" align="left"

Thursday 2/11
TEST DAY!!!!!!

Friday 2/12
TODAY THERE WAS A BLIZZARD AND IT SNOWED A LOT AND IT WAS REALLY COOL!!! Also, we discussed #6 from yesterdays test. It was tough, but we learned an easier way to solve it using the SHELL METHOD!

The shell method starts off by finding the volume of one shell that is PARALLEL to the axis of rotation then by using the definite integral to find the volume of the solid. Here is the work for #6: