Question: Find the vectors T and N and the binormal vector B = T N , for the vector-valued function r ( t ) at the

Find the vectorsTandNand the binormal vectorB=TN, for the vector-valued functionr(t) at the given value oft.

r(t) =ti+t²j+t³/3k,t₀= 1

The position of a baseball (in ft) is represented byr(t) =55(2)^1/2ti+ (3+55(2)^1/2t16t²)j.

Find the arc length of the trajectory (flight) of the baseball. (Lett= 0represent when the ball is hit. Letj= 0be ground level. Round your answer to one decimal place.)

Find the vectorsTandNand the binormal vectorB=TN, for the vector-valued functionr(t) at the given value oft.

r(t) =ti+t²j+t³/3k,t₀= 1

please answer it before midnight

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