If x=a(cost+tsint)andy=a (sin t - t cos t), then find the value of dx2d2yat t=4π.

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If {x}={a}{({{{t}}}+{t}{{{t}}})}{a}{n}{d}y=a (sin t - t cos t)

Question

If $x = a (cos t + t sin t) a n d$ y=a (sin t - t cos t), then find the value of $\frac{d ^{2} y}{d x ^{2}}$ at $t = \frac{π}{4}$ .

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x = a (cos t + t sin t) a n d

y=a (sin t - t cos t), then find the value of

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

t = \frac{π}{4}

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Question Text

x = a (cos t + t sin t) a n d

y=a (sin t - t cos t), then find the value of

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

t = \frac{π}{4}