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MODERN PUBLICATION-TEST PAPER 2-PROBLEM
- 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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- Prove that all the diagonal elements of a skew symmetric matrix are ze...
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- If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...
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- Answer the following: What is the value of [[o,-h,-g],[h,o,-f],[g,f,...
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- Show that no two normals to a parabola are parallel.
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- Find the intervals where the following functions are (a) increasing an...
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- Find int (cos x /sin^(2) x + sin x ) dx
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- Evaluate : int(0) ^(pi/4) dx/cos x (cos x + sin x).
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- Find the differential equation whose general soltution is c1x^2+c2y=1 ...
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- Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...
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- Prove the following by vector method. The parallelogram whose diagonal...
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- Prove that the two lines whose direction cosines are connected by the ...
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- A variable plane meets the coordinate axes at A, B, C and is at a cons...
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