# Calculus 9.1

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 Author: ColeJT1227 ID: 231889 Filename: Calculus 9.1 Updated: 2013-08-29 13:40:38 Tags: Calc Folders: Description: Section9.1 Show Answers:

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1. What is a Parametric Curve?
A set of points in the coordinate plane where rather than being a function of x, both x and y are functions of a parameter {(x(t), y(t)) | t ε I}
2. What is the DERIVATIVE of the parametric equation c(t)={x(t),y(t)}?
c'(t) = =
3. What does the derivative of a parametric set of equations tell us?
The slope of the parametric curve.
4. What does it mean if ?
There is a VERTICAL tangent line
5. What is the Arc length formula for a continuous function f(x) on interval [a,b]?
6. What is the summation formula(not the integral) to find the arc length of a parametric curve?

c={f(t),g(t)}
Where
7. What is the integral arc length formula for a parametric curve "c" where
c(t)={f(t),g(t)}

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