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Consider the vector function given below. r(t) = (6t, 5 cos(t), 5 sin(t)) (a) Find the unit tangent and unit normal vectors T(t) and N(t).

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Consider the vector function given below. r(t) = (6t, 5 cos(t), 5 sin(t)) (a) Find the unit tangent and unit normal vectors T(t) and N(t). 5 sin (t) 5 cos ( t ) T(t) = 61 61 61 X 5 6 cos ( t ) N(t) = it sin ( t) j k 61 61 61 X (b) Use this formula to find the curvature. 5 K(t) = 61

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