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- Prove that sin^(-1)(frac[sqrt(1+x)+sqrt(1-x)][2])=frac[pi][4]+frac[1][...
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- Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.
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- Solve the following LPP graphically. Minimize z=30x1+45x2 subject to 2...
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- A trust fund has Rs. 50,000 that is to be invested in two types of ...
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- Express [[2,-1,3],[5,7,-2],[1,4,6]] as a sum of a symmetric and a skew...
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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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- Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2
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- If A=[[2,1],[-1,3]], B=[[2,3],[1,1]] "and" C=[[1,0,2],[-2,3,0]],verify...
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- Test differentiability of the following function at the indicated poin...
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- If y=tan^(-1)(frac[1+sinx][1-sinx])^(frac[1][2]) and z=log(frac[1+cosx...
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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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- Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...
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- Find the intervals where the function f(x)=tanx-4(x-2) is increasing a...
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- Evaluate, intfrac[1][(2-x)sqrt(5-4x+x^2)]dx
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- Evaluate intfrac[2cosx+7][4-sinx]dx
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- Evaluate, int0^(pi//4)sinxdx
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- Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...
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- solve:e^-x(d^2y)/dx^2=x
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- Find the scalar and vector projections of the vector 2hati-3hatj-6hatk...
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- In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...
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