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find the area of the region bounded by 'y^2=4x' and x=2

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JMD PUBLICATION-SOLVED SAMPLE QUESTION PAPERS-EXAMPLE
  1. integrate int (cos2x-cos2alpha)/(cosx-cosalpha) dx

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  2. solve 'int0^(π/4)sqrt(1+sin2xdx)'

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  3. find the area of the region bounded by 'y^2=4x' and x=2

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  4. Find lambda so that the scalar projection of veca=lambdahati+hatj+4hat...

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  5. Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...

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  6. Prove that : tan^-1[(sqrt(1+x^2) - sqrt(1-x^2))/(sqrt1+x^2 + sqrt(1-x^...

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  7. 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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  8. If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y2+xy1=0

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  9. Evaluate intdx/(sinx-sin2x)

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  10. Solve (3xy+y^2)dx+(x^2+xy)dy=0, y(1)=1

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  11. solve the differential equation: dy/dx=tan(x+y)

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  12. A car manufacturing factory has to plant s X and Y. Plan X manufacture...

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  13. Solve the following system of linear equations by matrix method: x - y...

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  14. If A= [[1,2,2,],[2,1,2,],[2,2,1,]] then verify A^-1A=I

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  15. Find the shortest distance (S.D.) between the lines : vec r = hat i + ...

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  16. Find the equation of the perpendicular drawn from the point (2,4,-1) t...

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  17. Maximise z=20x+15y subject to constraints 120x +60yle12000,x+yle150

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  18. Maximise z=x+y subject to 2x+yle50, x+2y=40

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  19. The number of bijective functions from A to B if n(A)=n(B)=4

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  20. The value of sin(cos^-1(3/5)) is:

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