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Find the unit tangent vector T (t) at the point with the given value of the parameter t.

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Find the unit tangent vector T (t) at the point with the given value of the parameter t.

derivative-vector-equation
tangent

asked Feb 17, 2015 in CALCULUS by anonymous

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1 Answer

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Step 1 :

The equation is and .

Apply derivative on each side with respect to t.

Substitute in above equation.

Step 2 :

Find the magnitude :

The tangent vector at is

Substitute and in above equation.

The tangent vector is

Solution :

The tangent vector is

answered Feb 21, 2015 by Thomas Apprentice

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