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

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

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. What is the restriction on the formula inta^xdx=a^x/(Ina)?

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

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

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

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

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

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

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

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  9. [{:(1,-2),(3,2):}][{:(x,2),(1,y):}]=[{:(-3,4),(-1,4):}], find x and y...

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

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

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

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

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  14. Shows that the following functions do not possess maximum or minimum. ...

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  15. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

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  16. If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...

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  17. Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...

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  18. Solve xsin""y/xdy=(ysin""y/x-x)dx

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  19. Evaluate int0^(pi/2)sinx/(sinx+cosx)dx.

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  20. Determine the area within the ellipse x^2/a^2+y^2/b^2=1.

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