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SHARAM PUBLICATION-QUESTION PAPER 2016-EXERCISE
- If x=asec theta, y=b tan theta, then prove that (d^(2)y)/(dx^(2))=-(b^...
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- If u= x^3-3xy^2, show that (del^2u)/(delx^2)+(del^2u)/(dely^2)=0
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- Find the intervals where the following functions are (a) increasing an...
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- Find the following limits:lim(xrarr0+)(ln tanx)/(ln sin 2x)
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- The radius of a spherical soap bubble is increasing at the rate of 0.2...
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- If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).
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- Evaluate int (log x)^2 dx
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- Evaluate: int(2x+9)/(x+3)^2dx
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- int0^1(x^5(4-x^2))/sqrt(1-x^2)dx
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- Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx
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- Solve dy + e^-y sin x dx = 0.
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- Solve: (x^2-1)dy/dx+2xy=1
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- Prove that |a+b| le |a| + |b| State when equality will hold,
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- Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...
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- The projection of a line segment overline(OP), through origin O, on th...
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- passing through the point (-1,3,2) perpendicular to the planes x+2y+...
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- 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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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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- Find the feasible region of the following system 2x+yge6,x-yle3,xge0...
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- Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])
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