Calculus 9.1

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