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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}

What is the DERIVATIVE of the parametric equation c(t)={x(t),y(t)}?
c'(t) = =

What does the derivative of a parametric set of equations tell us?
The slope of the parametric curve.

What does it mean if ?
There is a VERTICAL tangent line

What is the Arc length formula for a continuous function f(x) on interval [a,b]?

What is the summation formula(not the integral) to find the arc length of a parametric curve?
c={f(t),g(t)}
Where

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

