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- A diet for a sick person must contain at least 4000 units of vitamins,...
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- Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...
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- Find inverse of the following matrices by elementary row/column operat...
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- If A =[[1,-2,2],[3,1,-1]] B[[2,4],[1,2],[3,-1]] "verify" "that" (AB)^...
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- Without expanding prove that |[1,a,a^(2),-bc],[1,b,b^(2),-ca],[1,c,c^(...
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- Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...
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- Test differentiability and continuity of the following functions. |1...
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- If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...
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- Find dy/dx if y = x cot^(-1) (x/y)
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- Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...
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- Show that 2sinx+3tanxgt3x for all xin(0,frac[pi][2])
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- Evaluate inte^(tan-1)x((1+x+x^2)/(1+x^2))dx.
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- int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)
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- Find the area of the region bounded by y=6x-x^2x-axis and between ordi...
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- Solve : (dy)/(dx)= sin(x+y)+cos(x+y)
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- From a differential equation from the equation y=ae^(2x)+be^(-x) by el...
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- Prove the following by vector method. An angle inscribed in a semi-cir...
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- Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- Prove that the two lines whose direction cosines are connected by the ...
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