The curve r(t)= (f(t).g(t)), where f and g are twice differentiable, hasf'g'"-f"'g'curvature defined by the formula K(t) =((f)² + (g')²)derivatives are taken with respect to t. Find the curvature function of thefollowing curve.r(t) = (9 sin t,2 cos t) (ellipse)k(t)=3/2, whereTEE

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Answered: The curve r(t)= (f(t),g(t)), where f…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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The curve r(t)= (f(t),g(t)), where f and g are twice differentiable, has f'g'"-f"'g' curvature defined by the formula x(t) = ((f')² + (g')²) derivatives are taken with respect to t. Find the curvature function of the following curve. r(t) = (9 sin t,2 cost) (ellipse) k(t)= 3/2, where TEE