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If f(x)=x ^(3) + e ^(x/2) and g(x) = f(...

If `f(x)=x ^(3) + e ^(x/2) ` and `g(x) = f(x)'` then what is the value of `g'(1)' ?

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MODERN PUBLICATION-TEST PAPER 5-PROBLEM
  1. Find the number of equivalence relations on x = {1,2,3 } .

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  2. The sum of two non integral roots of [[x,2,5],[3,x,3],[5,4,x]] = 0 is ...

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  3. If f(x)=x ^(3) + e ^(x/2) and g(x) = f(x)' then what is the value of ...

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  4. Write the interval in which the function f(x)=sin^(-1)(2-x) is differe...

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  5. Evaluate : int1^2 x In x' dx

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  6. Name of curve which is represented by the solution of differential equ...

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  7. Find the distance between the parallel planes 2x-2y+z+1=0 and 4x-4y+2z...

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  8. In each of the problems given below, find the work done by a force vec...

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  9. Show that the relation R is in the set A={1,2,3,4,5} given by R={(a, b...

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  10. A binary operation * is defined on the set X=R-{-1} by x**y=x+y +xy,...

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  11. Let f, g: R rarr R defined by f(x) = |x| + x, g(x) = |x|-x for all x i...

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  12. Solve sin^(-1)(1-x)-2sin^(-1)x=frac[pi][2]

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  13. An animal feed company must produce 200kg of a mixture consisting of i...

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  14. Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...

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  15. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

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  16. Find the inverse of the following matrices using elementary transforma...

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  17. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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  18. Express as a sum of a symmetric and a skew symmetric matrix: [[2,-1,3]...

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  19. If y=In(x^2 +y^2),then find dy/dx.

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  20. If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)

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