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If x=sint and y=sinmt show that y=sin(...

If `x=sint` and `y=sinmt` show that
`y=sin(msin^(-1)x)`

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. Find (d^2y)/(dx^2) y=tan^(-1)x

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  2. Match the following.

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  3. If x=sint and y=sinmt show that y=sin(msin^(-1)x)

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  4. If x=sint and y=sinmt show that dy/dx=

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  5. If x=sint and y=sinmt show that (1-x^2)y2-xy1+m^2y=0

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  6. Consider the function f(x)=x(x-2) , x in[1,3] Verify mean value th...

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  7. Verify Lagranges' Mean value theorem for the function f(x)=2x^2-10x+29...

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  8. Let f(x)=x(x-1)(x-2) , x in [0,2] Find f(0) and f(2)

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  9. Let f(x)=x(x-1)(x-2) , x in [0,2] Find f^'(x)

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  10. Let f(x)=x(x-1)(x-2) , x in [0,2] Find thevalues of x where f^'(x)=0...

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  11. Verify Rolle's Theorem for the function f(x)=x^2+2x-8 , x in [-4,2]

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  12. Examine that Rolle's Theorem is applicable to the function in the give...

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  13. Examine that Rolle's Theorem is applicable to the function in the give...

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  14. Examine the continuity of the function f(x)={(absx+3,,xle-3),(-2x,,-...

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  15. Test continuity for the folowing functions. f(x)={(xsin(1/x), x ne0)...

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  16. Test continuity for the folowing functions. f(x)={(2^(1/x), x ne0),(...

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  17. Test continuity for the folowing functions. f(x)={((x^2-4x+3)/(x^2-1...

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  18. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y^2=(sin^(-1)x)^2

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  19. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y1-xy=1

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  20. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y2-3xy1-y=0

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