Explain what additional information

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Explain what additional information, beyond the component rates

\dfrac{dx}{dt}

and

\dfrac{dy}{dt}

, is required to determine a unique parametric curve

\langle x(t),y(t)\rangle

, and state why this information is necessary.