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MODERN PUBLICATION-TEST PAPER 2-PROBLEM
- 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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- Find the solution of the following differential equations: x dy-ydx=sq...
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- Show that hat(i) xx (vec(a) xx hat(i)) + hat(j) xx (vec(a) xx hat(j)) ...
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- A variable plane meets the coordinate axes at P, Q, R points. If the p...
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- Write whether the following statements are true or false. The equati...
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- Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...
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- Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...
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- If f'(x)=sqrt(2x^2-1) and y=f(x^2) then what is dy/dx at x = 1 ?
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- Find the extreme points of the function y= x+1/x.
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- What is the differential equation whose solution is y = c (sin x + cos...
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- For what value of lambda, the vectors lambda hat(i) + 3hat(j) + lambda...
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- Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...
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- Maximise Z=50x(1)+60x(2) Subject to 2x(1)+3x(2)le6,x(1),x(2)ge0.
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- Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...
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- If A=[[2,1],[-1,3]], B=[[2,3],[1,1]] "and" C=[[1,0,2],[-2,3,0]],verify...
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