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Show that int0^pixInsinx=pi^2/2In1/2...

Show that
`int_0^pixInsinx=pi^2/2In1/2`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the solution of the following differential equations: (4x+6y+5)dx...

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  2. int0^pi(xdx)/(1+sinx)

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  3. Show that int0^pixInsinx=pi^2/2In1/2

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  4. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

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  5. What is F’(x) if F(x)=int0^xe^(3t)cos4t dt ?

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  6. Find r if -501 in[r]5.

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  7. To which coordinate axis is the plane 2y – 5z=0 parallel ?

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

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  9. What is the value of int(d)/(dx)f(x)dx-(d)/(dx)intf(x)dx?

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  10. IF [{:(3,5,3),(2,4,2),(lamda,7,6):}] is a singular matrix, then write ...

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  11. What is the angle between hati+ hatj and hati-hatj ?

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  12. Write a logarithmic functions which is differentiable atevery point in...

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  13. Write the equation of the tangent to the curve y=sqrt x at the point (...

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  14. Solve:Sin^-1x+sin^-1(1-x)=cos^1x

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  15. Find the following congruence classes as a set [1]3,

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  16. Find the following congruence classes as a set [3]7

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  17. Find the least positive integer r such that 114 in[r]7

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  18. Find the least positive integer r such that 506 in[r]5

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  19. Solve graphically: Maximize Z=3x+ 5y Subject to x+yle1,xge0,yge0

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  20. Express the value of "sin"^(-1)1/sqrt5 +"cos"(-1) 3/sqrt(10) in simple...

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