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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Consider the binary operation * on the set {1,2,3,4,5} defined by a*...
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- Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...
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- Find the feasible solution region of the following system of inequatio...
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- Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).
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- Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn...
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- Express [(1,2,3),(4,0,1),(-1,5,-2)] as a sum of a symmetric and a skew...
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- Without expanding prove abs((bc, a, a^2),(ca, b, b^2),(ab, c, c^2))=ab...
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- Find the inverse of the matrix [[1,2],[3,4]]
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- Find A and B where 2A+B=[[2,2,5],[5,4,3],[1,1,4]]"and" A-2B=[[1,6,5],...
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- Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0
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- Find absolute maximum and absolute minimum of f(x)={((x+1)^2,xle0),((x...
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- If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)
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- If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.
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- Find the equation of tangent to the curve x=y^2-2 at the points where ...
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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- Solve dy/dx=x+y
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- int(2sinx+3cosx)/(3sinx+4cosx)dx=?
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- Solve (dy)/(dx)=(y^2)/(xy-x^2).
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- Integrate int(-3//5)^(3//5)[2x+1]dx
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- Evaluate int0^1(x^5)/sqrt(1-x^2) dx
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