Let the particle’s position be given by with

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Let the particle’s position be given by

r=\theta^{2}

with

\theta=t^{2}

. What is

\dfrac{dy}{dt}

t=1

? (a)

4\cos 1 - 2\sin 1

(b)

2\sin 1 + 2\cos 1

(c)

4\sin 1 + 2\cos 1

(d)

4\sin 1 + \cos 1