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Write the minimum value of n such that `frac[d^n(3x^3+7)^(15)][dx^n]=0`

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SHARAM PUBLICATION-QUESTION PAPER 2017-EXERCISE
  1. Write the minimum value of n such that frac[d^n(3x^3+7)^(15)][dx^n]=0

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  2. Write the interval in which the function sin^2x-x is increasing.

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  3. Write the value of int0^1{x}dx where {x} stands for fractional part of...

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  4. Write the order of the differential equation of the family of circles ...

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  5. It the vectors vec(a), vec(b) and vec(c) form the sides vec(BC), vec(C...

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  6. Write the equation of the plane meeting the coordinate axes in A,B and...

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  7. Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies o...

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  8. If underset(n)(I) is an identity matrix of order n, then k being a nat...

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  9. Write the number of ways in which 5 boys and 5 girls can sit around a ...

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  10. One card is drawn from a pack of 52 cards. Write the probability that ...

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  11. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  12. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

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  13. If U=ln(x^3+y^3+z^3-3xyz), show that frac[deltau][deltax]+frac[deltau...

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  14. Evaluate:underset(xto1)(lim)1/x^(1-x)

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  15. Verify Cauchy's mean value for the functions f(x)=sinx, g(x)=cosx in [...

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  16. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

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  17. Evaluate: overset(2)underset(-1)int{|x|+[x]}dx

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  18. int0^ax^3(a^2-x^2)^(5/2)dx

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  19. Evaluate int(dx)/(e^(4x)-5)

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  20. Evaluate : intx^(2)tan^(-1)xdx.

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