AP Calculus BC Question of the Day

Test your knowledge with a hand-picked multiple-choice question.

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A particle moves around the xy plane such that its position as a function of time is given by the parametric function:

$\begin{pmatrix} x(t)\y(t) \end{pmatrix}=\begin{pmatrix} \sin(3t)\\sin(2t) \end{pmatrix}$ .

What is the slope, $\frac{dy}{dx}$ , of the particle's trajectory when $t=\pi/12$ ?

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