Consider the curve defined by and

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

Problem

Consider the curve defined by

x=e^{3t}

and

y=\ln(5t^{2})

. Evaluate

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

at

t=1

. (a)

-\dfrac{8}{3}e^{-3}

(b)

-\dfrac{8}{9}e^{-6}

(c)

\dfrac{8}{9}e^{-6}

(d)

-\dfrac{2}{9}e^{-6}

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