Mathematics

Problem

\theta=\dfrac{\pi}{2}

a polar curve satisfies

\dfrac{dy}{dx}=0

and

\dfrac{d^{2}y}{dx^{2}}>0

. Which statement is most consistent with the behavior of the curve at that point? a) The tangent is vertical and the curve is concave upward. b) The tangent is horizontal and the curve is concave downward. c) The tangent is horizontal and the curve is concave upward. d) The tangent is vertical and the curve is concave downward.

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