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If U=ln(x^3+y^3+z^3-3xyz), show that fr...

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

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SHARAM PUBLICATION-QUESTION PAPER 2017-EXERCISE
  1. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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