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Parametric Tangent Line Perpendicular Slope

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A curve is defined by the parametric equations x=ln⁡(t)x = \ln(t) and y=t2−ty = t^2 - t. At what point on the curve is the tangent line perpendicular to the line y=2x+3y = 2x + 3?

A

(0, 0)

B

No such point exists

C

(ln(2), 2)

D

(ln(1/2), -1/4)

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