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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

asked Feb 17, 2015 in CALCULUS by anonymous

1 Answer

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Step 1 :

The vector line equation is .

Where and .

The parametric equations of a line are

and .

Step 2 :

The parametric equations are and the point is .

Substitute the point in .

The point is corresponds to .

Apply derivative on each side with respect to t.

image

Substitute in above equation.

Write the vector notation in component form.

The equation of a tangent line passing through the point is

The parametric equations are image and image.

Solution :

The parametric equations are image and image.

answered Feb 21, 2015 by Thomas Apprentice
edited Feb 21, 2015 by Thomas

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