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Maximise Z=50x(1)+60x(2) Subject to 2x...

Maximise `Z=50x_(1)+60x_(2)`
Subject to `2x_(1)+3x_(2)le6,x_(1),x_(2)ge0`.

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MODERN PUBLICATION-TEST PAPER 2-PROBLEM
  1. For what value of lambda, the vectors lambda hat(i) + 3hat(j) + lambda...

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  2. Let A and B be sets. Show that f : A xx B rarr B xx A such that f (...

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  3. Maximise Z=50x(1)+60x(2) Subject to 2x(1)+3x(2)le6,x(1),x(2)ge0.

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  4. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

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  5. If A=[[2,1],[-1,3]], B=[[2,3],[1,1]] "and" C=[[1,0,2],[-2,3,0]],verify...

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  6. Prove that all the diagonal elements of a skew symmetric matrix are ze...

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  7. If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...

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  8. Answer the following: What is the value of [[o,-h,-g],[h,o,-f],[g,f,...

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  9. Show that no two normals to a parabola are parallel.

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  10. Find the intervals where the following functions are (a) increasing an...

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  11. Find int (cos x /sin^(2) x + sin x ) dx

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  12. Evaluate : int(0) ^(pi/4) dx/cos x (cos x + sin x).

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  13. Find the differential equation whose general soltution is c1x^2+c2y=1 ...

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  14. Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...

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  15. Prove the following by vector method. The parallelogram whose diagonal...

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  16. Prove that the two lines whose direction cosines are connected by the ...

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  17. A variable plane meets the coordinate axes at A, B, C and is at a cons...

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  18. Find the equation of the line through the point (3, -1, 2) and paralle...

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  19. If N denotes the set of all natural numbers and R be the relation on N...

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  20. If a, b and c are all positive real, then prove that minimum value of ...

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