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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
- "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...
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- Express [[1 2 3] [4 0 1] [-1 5 -2]] as a sum of a symmetric and a skew...
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- If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...
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- If[[x,y],[x,x/2+t]]+[[y,x+t],[x+2,x/2]]=[[1,4],[2,3]] find x,y,z and t...
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- Find x if '||a b c| |b a b| |x b c|| = 0
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- Test differentiability and continuity of the following functions. f(...
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- If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0
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- Find the dy/dx when x = a[cos t + log tan (t//2)], y = a sin t
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- Show that 2 sin x + than x ge 3x all x in (0, pi/20).
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- Show that the line y = mx + c touchees y = 4ax if c = a/m.
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- Evaluate int(4x^2/((x-3) (x+1)) dx
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- int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)
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- Solve : (dy/dx)= (x + y)^2
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- Find the particular solution of the following differential equation: (...
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- Find the area of the region bounded by the line y = 3x + 2, x-axis and...
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- Vectors vec(a), vec(b) and vec(c) are such that vec(a) + vec(b) + vec(...
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- Find the equation of a plane biscting the line segment joining (-1,4,3...
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- Find the foot of the perpendicular drawn from the point (5,7,3) to the...
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- Congruence modulo 3 relation partitions the set Z into how many equiva...
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- Maximise Z=5x(1)+7x(2) Subject to x(1)+x(2)le4, 5x(1)+8x(2)le24 ...
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