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CALCULUS BC EXTRA TOPICS

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Title: Slide 1 Author: System Administrator Last modified by: GISD Created Date: 4/11/2006 4:23:02 PM Document presentation format: On-screen Show Company – PowerPoint PPT presentation

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Title: CALCULUS BC EXTRA TOPICS


1
CALCULUS BCEXTRA TOPICS
  • Developed by
  • Susan Cantey and her students
  • 2006

2
Here come some questions on the extra topics not
covered in the AB course. They will tend to be a
little harder to remember!! When you think you
know the answer, (or if you give up )
click to get to the next slide to see if you were
correct. Ready?
3
Explain
Calculus rocks!
4
This is the Logistic Equation, where k Growth
rate K Carrying Capacity
5
Logistic Solution P(t) ?
6
Where
7
Next term using Eulers Method ?
Oiler
8
Previous
(at previous (x,y))
Estimated Change
9
Length of a curve defined by f(x)i.e. arc length
Curve length
10
How long is it?
11
Length of a parametric curve
12
(No Transcript)
13
Formula for Speed in Parametric equation?
Speedy the lightning bolt
14
That is, speed is the rate of change along the
curvethe derivative of the integral for arc
length, i.e. the integrand by itself.
15
Formula for Speed in Motion Problems?
16
(No Transcript)
17
Length of a polar curve
(Polar)
18
(No Transcript)
19
area of a region inside a polar graph...
20
Master polar of equations
21
(Parametric)
More change
22
(No Transcript)
23
(Parametric)
The change of the change
24
(No Transcript)
25
(Polar)
Polar Bear
26
(No Transcript)
27
? if you forget the formula for the polar
derivative, you can always derive it using x
rcos? and y rsin? along with the product
rule and
28
A vector function is
What is the formula for the velocity and
acceleration vectors?
29
Velocity vector Acceleration vector
30
Average Value of J(x)?
31
Youre done!
32
Class of 07 rocks all. Stay in school, kids.
33
Be sure to study the power points for 1)
Integrals 2) Derivatives 3) Sequences and
Series 4) Miscellaneous Topics
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