What is the slope of the tangent line to the parametric curve x = t^2 + 2t, y = t^2 + 1 at t = 1? (4 points)

1/2

1/4

4

2

ANSWER

EXPLANATION

The given parametric curve has equation:

and

Let us differentiate each equationtion with respect to t.

and

The slope function is given by:

This implies that:

At t=1,

The correct choice is A.

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step-by-step explanation: