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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
- 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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- If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...
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- Exaniming consistency and solvability, solve the following equations b...
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- If A=((cosx,sinx),(-sinx,cosx)) then prove that A^n=((cosnx,sin nx),(-...
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- Find dy/dx x=cos^(3)t/sqrtcos2t, y=sin^(3)t/sqrt cos2t
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- Show that the shrtest distance of the point (0, 8a) from the curve ax^...
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- Integrate : int(ln (x+√(x^2 + a^2))dx.
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- Solve the following differential equations (dy)/(dx)+2ytan x= sin x,...
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- Find the area of the région on closed between y = 4x-1 and y^2=2x
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