If x=a(cost+t s∈ t)and y=a (sint−t cost), then find dx2d2 y.

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If {x}={a}{({{{t}}}+{t} {s} {t})}and {y}={a} {({{{t}}}-{t} {{{

Question

If $x = a (cos t + t s \in t)$ and $y = a (sin t - t cos t),$ then find $\frac{d ^{2} y}{d x ^{2}}$ .

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Theodore Discussed

x = a (cos t + t s \in t)

and

y = a (sin t - t cos t),

then find

\frac{d ^{2} y}{d x ^{2}}

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Question Text

x = a (cos t + t s \in t)

and

y = a (sin t - t cos t),

then find

\frac{d ^{2} y}{d x ^{2}}