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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Answer any three questions if hat(a), hat(b) and hat(c ) are unit ve...
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- If A is a symmetric matrix, then A- A is both symmetric and skew symme...
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- If f(x)={(x,0lexle1),(2-x,1lexle2):}, then what is the value of int0^2...
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- Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).
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- Let f be a real function. Show that h(x) =f(x)=f(-x) is always an even...
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- Minimize:Z=6x1+7x2 "Subject to":x1+2x2 ge 4 x1,x2 ge 0
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- If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (...
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- Find A^-1 if A=[(1,2),(3,5)] by using elementary row operations.
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- Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]
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- Define involuntary matrix and show that [(0,1,-1),(4,-3,4),(3,-3,4)] i...
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- If [(3,-2),(5,1)][(x),(y)]=[(12),(7)], then find xand y.
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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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- If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt...
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- If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y
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- Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...
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- Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...
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- Find Integrating factor of:(x logx)dy/dx+y=2logx
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- Integrate int(x+7)/(x^2+8x)dx
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- Solve dy/dx+y/x=xy^2.
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- Prove that int(pi//6)^(pi//3)1/(1+sqrt(tanX))dx =(pi)/12
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