Title: CALCULUS BC EXTRA TOPICS
1CALCULUS BCEXTRA TOPICS
- Developed by
- Susan Cantey and her students
- 2006
2Here 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?
3Explain
Calculus rocks!
4This is the Logistic Equation, where k Growth
rate K Carrying Capacity
5Logistic Solution P(t) ?
6Where
7Next term using Eulers Method ?
Oiler
8Previous
(at previous (x,y))
Estimated Change
9Length of a curve defined by f(x)i.e. arc length
Curve length
10How long is it?
11Length of a parametric curve
12(No Transcript)
13Formula for Speed in Parametric equation?
Speedy the lightning bolt
14That is, speed is the rate of change along the
curvethe derivative of the integral for arc
length, i.e. the integrand by itself.
15Formula for Speed in Motion Problems?
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17Length of a polar curve
(Polar)
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19area of a region inside a polar graph...
20Master polar of equations
21(Parametric)
More change
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23(Parametric)
The change of the change
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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
28A vector function is
What is the formula for the velocity and
acceleration vectors?
29Velocity vector Acceleration vector
30Average Value of J(x)?
31Youre done!
32Class of 07 rocks all. Stay in school, kids.
33Be sure to study the power points for 1)
Integrals 2) Derivatives 3) Sequences and
Series 4) Miscellaneous Topics