Consider the vector function given below. r(t) =   7t, 5 cos(t), 5 sin(t)   (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t)  = N(t) (b) Use the formula  ?(t) =  |T ′(t)| |r ′(t)| to find the curvature. ?(t) =

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A: As per rule I need to solve only first three subparts.

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A: Question (1) (a) We need to find the unit tangent and unit normal vector T(t) and N(t) of the vector…

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Q: Consider the vector function given below. r(t) = (7t, 5 cos(t), 5 sin(t)) (a) Find the unit tangent…

A: Given:              r(t)=< 7t , 5cost , 5sint >⇒      r'(t) =< 7, -5sin(t) , 5cos(t) >⇒…

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A: Since you have posted a multi subparts question according to guidelines I will solve first…

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Q: Find the curvature correctly

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Q: (a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use Formula 9 to find the…

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A: We are asked to find the order of finding radius of curvature

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A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…