Consider the curve given by and for

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

Problem

Consider the curve given by

x(t)=\cos t

and

y(t)=t\sin t

for

0<t<\pi

. Determine the value of

\dfrac{d^{2}y}{dx^{2}}

at

t=\dfrac{\pi}{4}

.

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