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- If x^y+y^x= (x+y)^(x+y), then prove that dy/dx= ((x+y)^(x+y) [1+log(x+...
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- If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y2+xy1=0
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- Evaluate intdx/(sinx-sin2x)
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- Solve (3xy+y^2)dx+(x^2+xy)dy=0, y(1)=1
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- solve the differential equation: dy/dx=tan(x+y)
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- A car manufacturing factory has to plant s X and Y. Plan X manufacture...
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- Solve the following system of linear equations by matrix method: x - y...
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- If A= [[1,2,2,],[2,1,2,],[2,2,1,]] then verify A^-1A=I
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- Find the shortest distance (S.D.) between the lines : vec r = hat i + ...
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- Find the equation of the perpendicular drawn from the point (2,4,-1) t...
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- Maximise z=20x+15y subject to constraints 120x +60yle12000,x+yle150
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- Maximise z=x+y subject to 2x+yle50, x+2y=40
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- The number of bijective functions from A to B if n(A)=n(B)=4
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- The value of sin(cos^-1(3/5)) is:
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- If AB=A and BA=B, then B^2=
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- If A is a square matrix of order 3 such that |A|=13, then |adj A| is e...
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- If f(x)= {(1,-,kx, x,le3),(2x,+,3,x,>3):} is a continuous function, t...
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- If f(x) = {((tan3x)/(x),,, x!=0,),(4k,,,x,=0):} is continuous at x=0' ...
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- d/dx{tan^-1sqrtx}=
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- The value of intdx/(16x^2-25) is
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