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AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

Tuesday, February 28, 2006

Scribe for Monday

Given f(x)=0.5x^2-2x+4
And g(x) = 2 + rt 4+4x-x^2
S is the region between f and g, write the interval that gives:
a) The volume generated by rotating s around the line y=5.
b) The Volume generated by rotating s around the line y=1.
c) The volume generated by rotating s around the y-axis.
Rotating two lines, It surface will be looks like a washer.
And the Volume of a cylinder V = pai (R^2-r^2)
a)---> pai S(rt (4+4x-X^2) +2 -5) ^2 - (0.5X^2-2x+4-5)^2 dx
paiS(rt(4+4x-x^2-3)^2-(0.5x^2-2x-1)^2 dx
b)---> pai S(rt (4+4x-x^2)+3)^2-(0.5x^2-2x+5)^2 dx
c)---> PaiS(3^2-y^(1/2)) dy

A roll of paper towels has dimesions
Find the volume of the papper
Volume of Pai r^2 h a cylinder
V = Pai h (R^2-r^2)
= pai h (R+h) (R-h)
S (2pai x) f(x) dx
(circle) (height) (width)

Nest scribe: steven :P



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1 Comments:

  • At 9:31 PM CST, Blogger Mr. Kuropatwa said…

    I like that you've included the problems we did. I really like to read about how the class was in your own words. How would you describe what was learned? Maybe even mention something about the quizzes that will be happening at the begining of each class. How about a countdown to the exam?

    Here, let me start it ....

    20 classes left until the exam.

     

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