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What is the order of the differential equation of all circles of given radius a ?

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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
  1. Write the equation of X-axis in space.

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  2. Evaluate inte^x(cosx-sinx)dx.

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  3. What is the order of the differential equation of all circles of given...

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  4. An animal feed company must produce 200kg of a mixture consisting of i...

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  5. Test whether the relations are reflexive, symmetric or transitive on t...

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  6. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  7. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

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  8. Express [[1 2 3] [4 0 1] [-1 5 -2]] as a sum of a symmetric and a skew...

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  9. If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...

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  10. If[[x,y],[x,x/2+t]]+[[y,x+t],[x+2,x/2]]=[[1,4],[2,3]] find x,y,z and t...

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  11. Find x if '||a b c| |b a b| |x b c|| = 0

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  12. Test differentiability and continuity of the following functions. f(...

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  13. If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0

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  14. Find the dy/dx when x = a[cos t + log tan (t//2)], y = a sin t

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  15. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

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  16. Show that the line y = mx + c touchees y = 4ax if c = a/m.

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  17. Evaluate int(4x^2/((x-3) (x+1)) dx

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  18. int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)

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

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

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