Mathematics

Problem

At a certain point on a parametric curve the second derivative has the value

-0.8

. Which statement best describes the curve at that point? a) The curve is concave up because

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

is negative. b) The curve is concave down because

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

is negative. c) The curve has a point of inflection since

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

. d) The concavity cannot be determined without knowing

\dfrac{dy}{dx}

at the point.