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Find $ dy/dx $ and $ d^2y/dx^2 $. For which values of $ t $ is the curve concave upward?
$ x = \cos t $, $ \quad y = \sin 2t $, $ \quad 0 < t < \pi $
$x^{2}=t+1$$y^{\prime}=t-1$
Calculus 2 / BC
Chapter 10
Parametric Equations and Polar Coordinates
Section 2
Calculus with Parametric Curves
Parametric Equations
Polar Coordinates
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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