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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Find the following congruence classes as a set [1]3,
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- Find the following congruence classes as a set [3]7
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- Find the least positive integer r such that 114 in[r]7
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- Find the least positive integer r such that 506 in[r]5
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- Solve graphically: Maximize Z=3x+ 5y Subject to x+yle1,xge0,yge0
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- Express the value of "sin"^(-1)1/sqrt5 +"cos"(-1) 3/sqrt(10) in simple...
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- If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...
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- Show that x=2 is a root of [[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]]=0 S...
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- Find A if A^(-1)=[(3,-5),(-1,2)]
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- If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...
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- Find B if B^(2)=[{:(17,8),(8,17):}]
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- Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.
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- If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...
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- If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1
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- Let f(x)={(1/(x+[x]),if xlt0),(-1,if xge0):} Examine the continuity of...
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- Show that the function e^x/x^p is strictly increasing for x gt p gt 0.
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- Find the equation of tangents and normals to the parabola y^2=4ax at t...
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- Find the solution of the following differential equations: (4x+6y+5)dx...
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- Evaluate inte^x((1+sinx)/(1+cosx))dx.
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- Evaluate the integral: int(x^2-4)/(x-2)dx
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