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MODERN PUBLICATION-TEST PAPER 2-PROBLEM
- What is the derivative of cos^(-1)(2x^(2)-1) if x in (-1,0).
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- Write the interval in which y=lnx, xin R(+) is increasing, decreasing.
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- Evaluate int0^2|x-2|dx
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- What is the differential equation whose solution is y=3x+k?
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- if |vec(a)+vec(b)|=|vec(a) -vec(b)| the what is the relation between v...
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- Write the equation of the plane perpendicular to z-axis and passing th...
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- let f:ArarrB is a bijective function. Do you think f^(-1):BrarrA is al...
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- 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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