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If y=sin^-1x,then show that (1-x^2)(d^2y...

If `y=sin^-1x`,then show that `(1-x^2)(d^2y)/dx^2-xdy/dx=0`

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Let A=[[1,2,3],[3,1,2]] and B=[[-3,1,0],[1,3,-2]] Evaluate 3A-B

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  2. If y=sin^-1x,Find dy/dx

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  3. If y=sin^-1x,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

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  4. Which of the following is the solution of the differential equation dy...

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  5. From the differential equation representing the family of curves y=a...

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  6. Using properties of determinants prove the following. abs[[b+c,a,...

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  7. Write a function which is not continuous at x=0 and justify your ans...

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  8. Check the continuity of the function f(x)={(x,+,2,if,x,<,0),(-x,+,2,...

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  9. Consider the arrow diagram of the functions f and g. Write the fu...

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  10. If alpha,beta,gamma are the direction angles of a vector, then which...

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  11. Find the direction cosines of the line passing through the points (2...

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  12. If tan^-1x=pi/10,then the value of cot^-1x is

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  13. Find the value of sin(2tan^-1frac(2)(3))+cos(tan^-1sqrt3)

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  14. Let A={-1,0,1} Give reason why the operation defined by aastb=a/b ...

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  15. Let A={-1,0,1} Write a binary operation ast on A.

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  16. Let A={-1,0,1} How many binary operations are possible on A?

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  17. Find the equation of a line L passing through the points (-1,0,2) and ...

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  18. Find dy/dx of the following: y=sec(tanx)

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  19. Find dy/dx of y^x=x^y

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  20. Find inttan^-1xdx

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