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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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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2017-PREVIOUS YEAR QUESTION
  1. lim(xto0)cos(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 int-1^2 {|x\|+[x]}dx

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

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  6. Evaluate intfrac[dx][e^(4x)-5

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  7. intx^2tan^-1xdx

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

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  9. Solve the following differential equation (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 vecat...

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  13. If vecp=frac[1][lambda](vecbtimesvecc),vecq=frac[1][lambda](vecctimes...

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

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

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

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

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  18. Solve the following LPP graphically: Maximize z=20x+30y subject to 3x+...

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

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

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