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MODERN PUBLICATION-TEST PAPER 2-PROBLEM
- 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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- Find the direction cosines of the line which is perpendicular to the l...
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- Prove that f:X rarr Y is surjective iff for all A sube X,(f(A))' sube ...
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- Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...
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- Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...
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- Find the points on the curve y = x^2+1 which are nearest to the point ...
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- Evaluate int0^ pi x/(1+ sin x) dx
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- Find the area of the regions into which the circle x^2+y^2=4 is divide...
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