The vector valued function is and .
The standard form of vector valued function is .
Compare the function with the above, then and .
Find .
Substitute in the vector valued function.
Differentiate on each side with respect to .
Find .
Substitute in the derivative of the vector valued function.
.
Graph:
Draw the coordinate plane.
Plot the parametric curves and .
Plot the vectors and .
Observe the graph:
is a tangent to the curve .
Graph of is
is a tangent to the curve .
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