MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions
Problem
For a curve defined by x=f(t),y=g(t), suppose at t=1 we have g′(1)=0 and f′(1)=0. What can be concluded about the tangent at the corresponding point?
(a) The tangent is horizontal.
(b) No tangent exists at that point (the curve has a cusp).
(c) The nature of the tangent cannot be determined from the given data.
(d) The tangent is vertical.