Question: Let r(t) = < 1 + 4 cost, 4 + 4 sin t, 0 > a) Describe the curve which is traced by r(t) and

Let r(t) =< 1 + 4 cost, 4 + 4 sin t, 0 >

a) Describe the curve which is traced by r(t) and sketch the graph of the curve.

b) Find r 0 (t) and the unit tangent vector T(t).

b) Sketch the position vector r(0) and the unit tangent vector T(0).

c) Use the unit tangent vector T(0) to determine the orientation of the curve.

Show me all reason and process.

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