CALCULUS BC EXTRA TOPICS

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CALCULUS BCEXTRA TOPICS

• Developed by
• Susan Cantey and her students
• 2006

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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?
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Explain
Calculus rocks!
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This is the Logistic Equation, where k Growth
rate K Carrying Capacity
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Logistic Solution P(t) ?
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Where
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Next term using Eulers Method ?
Oiler
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Previous
(at previous (x,y))
Estimated Change
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Length of a curve defined by f(x)i.e. arc length
Curve length
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How long is it?
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Length of a parametric curve
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(No Transcript)
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Formula for Speed in Parametric equation?
Speedy the lightning bolt
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That is, speed is the rate of change along the
curvethe derivative of the integral for arc
length, i.e. the integrand by itself.
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Formula for Speed in Motion Problems?
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(No Transcript)
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Length of a polar curve
(Polar)
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(No Transcript)
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area of a region inside a polar graph...
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Master polar of equations
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(Parametric)
More change
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(No Transcript)
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(Parametric)
The change of the change
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(No Transcript)
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(Polar)
Polar Bear
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(No Transcript)
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? 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
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A vector function is
What is the formula for the velocity and
acceleration vectors?
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Velocity vector Acceleration vector
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Average Value of J(x)?
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Youre done!
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Class of 07 rocks all. Stay in school, kids.
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Be sure to study the power points for 1)
Integrals 2) Derivatives 3) Sequences and
Series 4) Miscellaneous Topics