Let and for all real

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

Problem

Let

x(t)=e^{2t}+t

and

y(t)=\sin(3t)

for all real

t

. Calculate

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

as a function of

t

, simplifying your final expression.

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