Scribe Post 12/3

After going over the second quiz we went into today's lesson. We learned two words which we will start to see more frequently in the book and on the AP Exam.

Linearization: Another way of saying the tangent line.

An interesting applet to get an even better understanding of the tangent line:
http://calculusapplets.com/linearapprox.html

Differential:

find dy if x=1 and dx=0.01

We then worked on Exploration 8-3: Maximal Cylinder in a Cone Problem. For some reason we all struggled with this even though O'Brien said that it's really easy. Here are the answers:
1.
V(0) = 0
V(1) = 9π
V(2) = 24π
V(3) = 27π
V(4) = 0
2.

3.

4.

5.

6.
radius: 8/3
height: 4
volume: (128π/9)

7.
-find f'(x), solve for 0
-sub that value into f(x) and the function for height

8. You know what you learned better than I do.