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If y=x^(-1)sincosec^(-1)frac[1][x], then...

If `y=x^(-1)sincosec^(-1)frac[1][x]`, then what is `frac[dy][dx]`?

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Solve the following system of equations by matrix method x+2y+3z=8, 2x...

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  2. Find the distance between the parallel planes 2x-2y+z+1=0 and 4x-4y+2z...

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  3. If y=x^(-1)sincosec^(-1)frac[1][x], then what is frac[dy][dx]?

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  4. Write down the smallest and the largest equivalence reaction on a set ...

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  5. Differentiate twice intsin^(-1)xdx+intcos^(-1)xdx

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  6. If x+y=4, xy=1 then what is the value of tan^(-1)x+tan^(-1)y?

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  7. What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...

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  8. What is the value of abs[[a,b+c,1],[b,c+a,1],[c,a+b,1]] ?

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  9. If A is a 2xx2 non-singular matrix and absA=1/2 then which matrix is r...

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  10. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

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  11. What is the value of int0^2abs{x-1)dx?

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  12. Solve for x, cos^(-1)x +sin^(-1)((x)/(2)) =(pi)/(6).

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  13. If R and S are two equivalence relation on the set then prove that Rca...

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  14. Show that:4(cot^(-1)(3/2)+cosec^(-1)sqrt(26))=pi.

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  15. Prove that f:RrightarrowR such that f(x)=frac[2x^2][x^2+1] is neither ...

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  16. Factorize the following. [[a,b,c],[b+c,c+a,a+b],[a^2,b^2,c^2]]

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  17. Find B if B^(2)=[{:(17,8),(8,17):}]

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  18. If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...

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  19. Find the adjoint matrix of the matrix [[2,5],[1,4]]

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  20. Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0

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