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If u= x^3-3xy^2, show that (del^2u)/(del...

If `u= x^3-3xy^2`, show that `(del^2u)/(delx^2)+(del^2u)/(dely^2)`=0

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SHARAM PUBLICATION-QUESTION PAPER 2016-EXERCISE
  1. Find dy/dx, if x^my^n=(x/y)^(m+n)

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  2. If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...

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  3. If u= x^3-3xy^2, show that (del^2u)/(delx^2)+(del^2u)/(dely^2)=0

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  4. Find the intervals where the following functions are (a) increasing an...

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  5. Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)

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  6. The radius of a spherical soap bubble is increasing at the rate of 0.2...

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  7. If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

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  8. Evaluate int (log x)^2 dx

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  9. Evaluate: int(2x+9)/(x+3)^2dx

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  10. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

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  11. Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx

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  12. Solve dy + e^-y sin x dx = 0.

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  13. Solve: (x^2-1)dy/dx+2xy=1

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  14. Prove that |a+b| le |a| + |b| State when equality will hold,

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  15. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

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  16. The projection of a line segment overline(OP), through origin O, on th...

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  17. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  18. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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

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  20. Find the feasible region of the following system 2x+yge6,x-yle3,xge0...

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