For a particle moving in the plane

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

Problem

For a particle moving in the plane,

\dfrac{dx}{dt}=6t

and

\dfrac{dy}{dt}=4\cos t

. At time

t=0

the particle is at point

(1,2)

. Determine the parametric equations

x(t)

and

y(t)