Description:

  There is a right circular cone with a height of 11.3cm, a radius of 4cm. Initially, there is 15ml amount of water in the cone with a height of 4.85cm. As we unlock the bottom of the cone, the water in the cone will drip with a flow rate of 1.875ml/sec. At the same time, some water is poured into the cone at a flow rate of 0.275ml/sec.

Question:

What’s the rate of change of the radius after 3sec with the volume of 10.45cm^3  and the height of 4.226cm?

Reflection:

Hyunhwa:

My work for the group was to create an related rates scenarios that could be generated from several classical problems that Bru posted. I created the problem with two rates of volume changing by having the water slipping out and pouring into the cone. Writing out the solution with web tool was too much of work, so our group come up with writing out the solution via smart board. Related rates is real world application of derivatives and implicit differentiation. I was able to learn how to solve the related rates problem that is little more complicated than general questions. Also by posting every work online, I was able to gain more knowledge of how to use two sites (Wiki, Blog). Also by doing the actual experiment and taking video with it, it was easier to understand how several rates related to each other.

J-tron foteen

The problem we chose was more difficult than the ones we did in class because there were more variables involved and so there were more rates we had to account for. Although we opted out of using any new web 2.0 tools; we used the smart board for our solution, I used wiki more than I have in the past and it is really not that complicated. My contribution to the project included helping to brainstorm the idea and getting materials from Bru's super secret storage place. I was present when we did the initial experiment/calculations and had a main role in the presentation. This project enhanced my understanding of related rates and let me work with two people I've never had a chance to collaborate with before. I helped pick music for our presentation as well.

YDplusSB: 

As a member of Group 2, I wrote out the first draft of our solution; I edited the video clip for our presentation; I also double checked the second draft of our solution with all the data written out; I did help edit the final solution in wiki. I did not learn much from the final project we did, since for the calculus part, we just applied the solution in the book into our real situation. The most important thing that I learned is editing the video. I used a new video-editing program that I have never used before. I also learned from our project that it is very necessary to know how to organize yourself and use time more efficiently, especially during a long project. I had a little concussion on Tuesday. The note for my project I put down on my computer helped me out a lot. I know exactly what I did and what I should do according to the notes.