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MODERN PUBLICATION-TEST PAPER 2-PROBLEM
- Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...
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- Find the number of equivalence, relations on X ={1,2,3),
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- Find the inverse of the following matrices using elementary transforma...
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- Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...
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- Prove that the following. [[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=...
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- Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab
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- Find the inverse of the following matrix [{:(0,0,2),(0,2,0),(2,0,0):}]
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- Examine the continuity of the following functions at indicated points....
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- if x=e^(t)sin t and y=e^(t)cos t, then prove that (x+y)^(2)(d^(2)y)/dx...
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- Differentiate. x^(sin x)+(tan x)^x
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- Find the equation of the normal at a point on the curve x^(2) = 4y, wh...
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- etermine the sub-interval of (-(pi)/(2),(pi)/(2)), in which f(x)=tan x...
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- Integrate the following int(x+3)/(5-x^2-4x)
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- int0^2[x^2]dx
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- Evaluate int(0)^(pi//4)log(1+tanx)dx.
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- Solve the following differential equations (dy)/(dx)+(y)/(x)=x^(2), ...
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- Show that the vector area of the triangle whosse vertices have positio...
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- Find the co-ordinates of the point where the line joining (3,4,-5) and...
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- Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...
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