f'g"-f'g'| The curve r(t) = (f(t),g(t)), where f and g are twice differentiable, has curvature defined by the formula K(t) = where derivatives are taken with respect tot Find the curvature function of the following curve. r(t) = (9 sin t,2 cos t) (ellipse) K(t) =O

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|fg"-f'g'
The curve r(t)= (f(t),g(t)), where f and g are twice differentiable, has curvature defined by the formula K(t) =
where derivatives are taken
(r)2+ (g')²)/2
with respect to t. Find the curvature function of the following curve.
r(t) = (9 sin t,2 cos t) (ellipse)
K(t) =D
Transcribed Image Text:|fg"-f'g' The curve r(t)= (f(t),g(t)), where f and g are twice differentiable, has curvature defined by the formula K(t) = where derivatives are taken (r)2+ (g')²)/2 with respect to t. Find the curvature function of the following curve. r(t) = (9 sin t,2 cos t) (ellipse) K(t) =D
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