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Find (d^2)/(dx^2) in the following : x...

Find `(d^2)/(dx^2)` in the following :
`x = a (cost + t sin t), y = a (sin t - t cos t)

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find (d^2y)/(dx^2) in the following x = a cos^3 theta, y = a sin^3 t...

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  2. Find (d^2)/(dx^2) in the following : If x = a cos^3 theta and y = a ...

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  3. Find (d^2)/(dx^2) in the following : x = a (cost + t sin t), y = a (...

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  4. Find (dy^2)/(dx^2) in the following : x = a (theta - sin theta), y =...

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  5. Find (d^2y)/(dx^2) at theta = pi/2 when: x = a (theta-sintheta),y=a(...

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  6. Find (d^2y)/(dx^2) at theta = pi/2 when: x=a(1-costheta), y = a(thet...

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  7. Find (d^2y)/(dx^2) at theta = pi/2 when: x=a(theta - sin theta), y =...

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  8. Find (d^2y)/(dx^2) when : x=2 cos theta - cos 2theta and y = 2 sin the...

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  9. If x = a sin t and y = a (cos t + log tan (t/2)), find (d^2y)/(dx^2)

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  10. If y = (sin^-1 x)^2, then prove that (1 -x)^2 (d^2y)/(dx^2) -x dy/dz =...

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  11. If y = (cos^-1 x)^2 show that (1-x^2)^2 y2 -xy1 = 2

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  12. If y=[tan^-1 x]^2, then prove that : (x^2 + 1)^2 y2+2x(x^2+1) y1 = 2.

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  13. Verify the truth of Rolle's Theorem for the following functions: f(x...

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  14. Verify the truth of Rolle's Theorem for the following functions: f(x...

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  15. Verify the truth of Rolle's Theorem for the following functions: f(x...

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  16. Verify the truth of Rolle's Theorem for the following functions: f(x...

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  17. Verify the truth of Rolle's Theorem for the following functions: f(x...

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  18. Verify the truth of Rolle's Theorem for the following functions: f(x...

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  19. Verify the truth of Rolle's Theorem for the following functions: f(x...

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  20. Verify the truth of Rolle's Theorem for the following functions: f(X...

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