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What is the least value of n such that d...

What is the least value of n such that `d^n/(dx^n)(1+x+x^2)^m=0` where m is a non-negative integer?

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SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE
  1. What is the derivative of sec^(-1)x with respect of x ?

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  2. What is the least value of n such that d^n/(dx^n)(1+x+x^2)^m=0 where m...

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  3. Write the set of points, where the function f(x) = x^(3) has relative ...

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  4. Write in one sentence why you cannot apply Rolle's theorem to the func...

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  5. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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

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  7. If overset(2)underset(1)intf(x)dx= lambda then what is the value of ov...

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  8. What is the value of overset(1)underset(0)int(dx)/(1+x^2)?

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  9. Write the order and the degree of the following differential equation....

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  10. Write the particular solution of (dy)/(dx)=(1+x)^(4), y= 0 when x= -1.

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  11. How many directions a null vector has ?

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  12. For what value of lambda the vectors 2lambdahati+hatj+3lambdahatk and ...

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  13. Write the equation of the plane passing through the point(1,-2,3)and ...

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  14. Write the solution of the following LPP Maximise Z=2x+3y Subject t...

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  15. If omega is a complex cube root of 1,then for what value of. lamda the...

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  16. If [[1, 2, 3]] A = [0] then what is the order of the matrix.

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  17. If P(A) = 1/2 and P(AnnB)=1/3 then what is the probability of (A-B)^C?

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  18. If f(x)=six x and g(x)=x^3. Then find the vlaue of (f(x)g(x))^m at x=...

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  19. Answer with reasons, whether the following function has a relative (lo...

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  20. Interpret Lagrange's mean value theorem geometrically.

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