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Find the intervals in which f(x) = sin 3...

Find the intervals in which `f(x) = sin 3x – Cos 3x, 0 < x < pi`, is strictly increasing or decreasing.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the vector equation of a plane which is at a distance of 5 units ...

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  2. Find : int(sqrt(x))/(sqrt(a^3-x^3))dxdot

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  3. Find the intervals in which f(x) = sin 3x – Cos 3x, 0 < x < pi, is str...

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  4. Show that the altitude of the right circular cone of maximum volume th...

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  5. A and B throw a pair of dice alternately. A wins the game if he gets a...

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  6. Prove that |[yz-x^2,zx-y^2,xy-z^2],[zx-y^2,xy-z^2,yz-x^2],[xy-z^2,yz-x...

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  7. Using elementary transformations, find the inverse of the matrix A = [...

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  8. Three persons A, B and C apply for a job of Manager in a Private Compa...

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  9. Solve for : 2\ tan^(-1)(cosx)=tan^(-1)(2\ cos e c\ x) .

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  10. int(-1)^2|x^3-x|dxdot

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  11. Find the particular solution of the differential equation (1-y^2)(1+lo...

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  12. Find the general solution of the differential equation (1+y^(2))+(x-e^...

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  13. Show that the vectors vec a , vec b and vec c are coplanar if vec a+...

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  14. Find the vector and Cartesian equations of the line through the point ...

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  15. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and the...

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  16. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  17. Prove that: tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  18. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

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  19. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

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  20. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

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