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- If cos^-1x+cos^-1y+cos^-1z=pi, prove that x^2+y^2+z^2+2xyz=1.
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- Find the domain of the functionf(x)=sqrt(log(12/(x^2-x))).
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- Solve the pair of these equationsx+y=10,3x+y=12,
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- Show that sin^(-1)(1/sqrt(10))+cos^(-1)(2/sqrt5)=pi/4.
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- If a relation R:AtoAis an equivalence relation then prove that R^-1:A ...
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- Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...
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- Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...
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- alpha = 0.9. The value of beta is
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- If Aand B are both symmetric matrices of same oder,then prove that AB...
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- If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...
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- Solve by matrix method 2x+y=5,x-y=1
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- Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...
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- If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.
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- If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1/2
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- Examine the continuity of the following functions at indicated points....
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- If f(x+y)=f(x)f(y)for all real x,y,f(2)=3,f'(0)=1 then what is the val...
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- Find the area of the circle x^2+y^2=2ax.
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- intdx/(sqrtx-root(3)(x))(x=t^6)
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- Solve dy/dx+y/x=xy^2.
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- Evaluate int0^2abs(x^2+2x-3)dx
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