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Give an example of a relation which is s...

Give an example of a relation which is symmetric and anti-symmetric.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Minimize:Z=20x1+10x2 "Subject to": x1+2x2 le 40 3x1 -x2 ge 30 4x1+3x2 ...

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  2. If y=x sin^-1x+xcos^-1x, then what is dy/dx?

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  3. Give an example of a relation which is symmetric and anti-symmetric.

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  4. What is the value of int0^1sin^2tdt+int0^1cos^2tdt-int0^1dr?

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  5. What is the principal value of sin^(-1)(sin((2pi)/3))?

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  6. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

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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. The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...

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  9. If is a 3xx3 matrix and absA=7, then which matrix is represented by Ax...

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  10. What is the value of intsin^2xd(sinx)?

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

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  12. Write whether the equation "tan"^(-1) ("cot"x)=2x has exactly two real...

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  13. Find the feasible solution region of the following: 3x+yge3,x+yge1,xge...

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  14. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

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  15. Prove that for any f:X rarr Y , f o idx = f =idY of.

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  16. If A=[(2,5),(1,3)], then find A^(-1)

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  17. Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,...

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  18. If [(x+y,y-z),(5-t,7+x)]=[(t-x,z-t),(z-y,x+z+t)], then find the values...

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  19. Express as a sum of a symmetric and a skew symmetric matrix: [[1,2,3],...

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  20. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

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