Question: Let r ( t )=3cos t ,2sin t , t parameterize a curve C in R 3 (a) Find the normal and tangential components of

Let r(t)=3cost,2sint,t parameterize a curve C in R³

(a) Find the normal and tangential components of acceleration as functions of parameter t. Determine the normal and tangential components of acceleration at times t=0 and t=/2

(b) Determine the curvature of the curve C as a function of parameter t, that is find (t). Determine the curvature at t=0 and t=/2.

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