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If y=cos^(-1)((2^x+1)/(1+4^x), find (dy...

If `y=cos^(-1)((2^x+1)/(1+4^x),` find `(dy)/(dx)`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...

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  2. If y=logtan(pi/4+x/2),\ show that (dy)/(dx)=secxdot Also find the ...

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  3. If y=cos^(-1)((2^x+1)/(1+4^x), find (dy)/(dx)

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  4. Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\ x)\ dxdot

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  5. From the following matrix equation, find the value of x:[[x+y,4],[-5,...

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  6. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

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  7. Form the differential equation representing the family of ellipses ...

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  8. Prove the following, using properties of determinants: |[a+b+2c,a,b],[...

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  9. Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...

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  10. Using properties of determinants, prove the following |(a^2,ab,ac),(ab...

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  11. If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

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  12. If ā,b,c are three vectors such that |veca |= 5, |vecb| = 12 and | ...

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  13. Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0

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  14. Find the particular solution of the following differential equation...

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  15. Let * be a binary operation of N given by a a*b=L C M\ (a , b) for all...

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  16. Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx

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  17. Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx

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  18. Find the Vector and Cartesian equations of the line passing through...

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  19. Evaluate : int((x-4)e^x)/((x-2)^3)\ dx

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  20. Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...

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