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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Evaluate intln(x^2+x+2)dx
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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- Solve xfrac[dy][dx]+y=x^4
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- If f:XrightarrowY is onto, then prove that f(f^(-1)(B))=B for all Bsub...
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- Prove that f:X rarr Y is injective iff f^(-1) (f(A)) = "A for all" A s...
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- Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Show that the shortest distance between the lines x+a=2y=-12z and x=y+...
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- If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...
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- Find the extreme values of the function f(x)=x^2e^(-x^2) and show that...
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- Shows that the triangle of greatest area that can be inscribed in a ci...
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- Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...
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- If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...
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- If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1...
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Find the number of binary operations on the set {a,b}.
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- If A, B are symmetric matrices of same order, then find AB-BA.
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