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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
- 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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- Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...
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- Prove the following by vector method. In a triangle AOB, mangleAOB = 9...
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- Let f: RrarrR defined by f(x)=x+1 and g:R rarr R defined as g(x)= sqrt...
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- Solve cos(2sin^(-1)x) = 1/9.
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- Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].
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- Fill in the blanks with appropriate answer from the brackes. If [[a,b...
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- What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...
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- What is the value of int0^(pi/2)log tan x dx?
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- Write the general solution of (ydx-xdy)/y=0.
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- Write the distance between the plane x-2y+z=6 and 2x-4y+2z=8
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- What is the image of the point (6, 3, -4) with respect to yz- plane ...
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- Check if the relation R on set of real numbers, defined as R = {(a,b) ...
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- Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...
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- Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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