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What is the value of tan(tan^-1""1/2+tan...

What is the value of tan`(tan^-1""1/2+tan^-1""1/3).`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If f(x)=int0^x e^(2t).sin3tdtthen what is f^1(x)?

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  2. What does the solution set of the inequation 2x+ygt5 represents?

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  3. What is the value of tan(tan^-1""1/2+tan^-1""1/3).

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  4. What is the general solution of tan^-1sqrt(dy/dx)=x?

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  5. Give an example of symmetric matrix.

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  6. If veca and vecb are non-collinear and vecp=xveca+(y+1)vecb,vecq=yveca...

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  7. If y=cos^(-1)((x-1/x)/(x+1/x)),then what is dy/dx?

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  8. What is the restriction on the formula inta^xdx=a^x/(Ina)?

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  9. Write down the symmetric from of the equation of y-axis.

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  10. Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.

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  11. Find all possible equivalence relations on X={1,2,3}

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  12. Find the fesible region of the following system:3x-yge0,xge0,yge0

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  13. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

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  14. If f:XrightarrowY is onto, then prove that f(f^(-1)(B))=B for all Bsub...

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  15. If A is a 3xx3 matrix and absA=2, then which matrix is represented by ...

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  16. [{:(1,-2),(3,2):}][{:(x,2),(1,y):}]=[{:(-3,4),(-1,4):}], find x and y...

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  17. Solve : [[7,6,x],[2,x,2],[x,3,7]] = 0

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  18. Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)

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  19. If A is square matrix,then prove that A.(adj*A)=absAI.

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  20. If y=sqrt(x+1)Find deltay and dy when X=8 and dx=0.02.

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