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State Lagrange's mean value theorem....

State Lagrange's mean value theorem.

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UNITED BOOK HOUSE-SET 13-EXERCISE
  1. If A = [[cos alpha,sin alpha],[-sin alpha,cos alpha]] then prove that,...

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  2. Examine whether f(x) = |x| has a derivative at x = 0.

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  3. State Lagrange's mean value theorem.

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  4. Evaluate:int(sin x dx)/(cos 2x)

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  5. Find the integrating factor of the differential equation (x + y + 1)(d...

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  6. Prove that the function(sin(x + alpha))/(sin(x + beta)) has neither a ...

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  7. Using the method of differentail find the approximate value of sqrt 0....

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  8. A variable plane moves in such a way that the sum of the reciprocals o...

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  9. If A and B are two independent events, prove that A^C and B are also i...

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  10. Five cards are drawn successively with replacement from a well-shuffle...

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  11. If sin(alpha + beta) = 4/5 and sin (alpha - beta)= 5/13, find the valu...

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  12. If A and B are tow matrices such that AB =O, can we deduce that eithe...

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  13. (AB)^(-1) = B^(-1)A ^(-1) where A and B are invertible matrices satisf...

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  14. Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...

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  15. Evaluate:int (dx)/(sqrt (sin^3 xsin(x+alpha)

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  16. Evaluate: int(log(logx)+1/((logx)^2))dx

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  17. Solve:cos^2x (dy)/(dx) + y= tanx(0 le x le pi/2).

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  18. Prove, by vector method or otherwise, that the point of intersectio...

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  19. Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...

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  20. A candidate is selected for interview for the three posts. For the fir...

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