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Find the equation of the normal to the c...

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

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SHARAM PUBLICATION-QUESTION PAPER 2017-EXERCISE
  1. Evaluate:underset(xto1)(lim)1/x^(1-x)

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

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

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

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

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

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

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  8. Find the particular solution of the following differential equation: (...

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  9. Solve : (x + 2y^3)dy/dx = y.

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  10. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

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  11. Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...

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  12. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

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  13. Find the equation of the plane through the point (2,1,0) and passing t...

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  14. Find the co-ordinates of the point where the perpendicular from the or...

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  15. Find the value of a for which the plane x+y+z-a=0 will touch the spher...

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  16. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

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  17. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  18. Solve by Cramer’s rule 2x-y=2, 3x+y=13

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  19. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

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  20. Find the inverse of the following matrix: [[0,0,2],[0,2,0],[2,0,0]]

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