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If y=x+frac[1][x+frac[1][x+...infty]] f...

If ` y=x+frac[1][x+frac[1][x+...infty]]` find `frac[dy][dx]`, the rhs being a valid expression.

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2017-PREVIOUS YEAR QUESTION
  1. One card is drawn from a pack of 52 cards. Write the probability that ...

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

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  3. If y=x+frac[1][x+frac[1][x+...infty]] find frac[dy][dx], the rhs bein...

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

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  5. lim(xto0)cos(1/x)

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

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

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  8. Evaluate int-1^2 {|x\|+[x]}dx

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

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

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  11. intx^2tan^-1xdx

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

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  13. Solve the following differential equation (x+2y^(3))dy/dx=y.

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

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

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

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

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

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

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

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