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Write the value of the following integra...

Write the value of the following integral: `int_(-pi/2)^(pi/2)sin^5x\ dx`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : intsec^2(7-4x)dx

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  2. Write the adjoint of the following matrix: [[2,-1],[4,3]]

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  3. Write the value of the following integral: int(-pi/2)^(pi/2)sin^5x\ dx

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  4. A is a square matrix of order 3\ and |A|=7. Write the value of ...

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  5. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

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  6. Write the principal value of sec^(-1)(-2)

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  7. What positive value of x makes the following pair of determinants equa...

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  8. Write the distance of the following plane from the origin: 2x-y+2z...

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  9. Write a vector of magnitude 9 units in the direction of vector -2 h...

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  10. Evaluate : int(6x+7)/(sqrt((x-5)(x-4)))\ dx

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  11. Evaluate: intsinxsin2xsin3x dx

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  12. A tank with rectangular base and rectangular sides, open at the top...

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  13. Find the volume of the larges cylinder that can be inscribed in a s...

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  14. If [(2,3),(5,7)] [(1,-3),(-2,4)]=[(-4,6),(-9,x)], write the value of x

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  15. If y=e^a cos^((-1)x)\ ,\ -1\ lt=xlt=1, show that (1-x^2)(d^2y)/(dx^2)-...

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  16. If x\ sqrt(1+y)+y\ sqrt(1+x\ )\ 0,\ -1<x<1,\ x!=y , then prove that...

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  17. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {...

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  18. Evaluate: int2^3 1/x\ dx

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  19. Three bags contain balls as shown in the table below: Bag Numb...

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  20. A diet is to contain at least 80 units of Vitamin A and 100 units o...

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