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Find the inverse of the matrix [[1,2],[3...

Find the inverse of the matrix `[[1,2],[3,4]]`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Express [(1,2,3),(4,0,1),(-1,5,-2)] as a sum of a symmetric and a skew...

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  2. Without expanding prove abs((bc, a, a^2),(ca, b, b^2),(ab, c, c^2))=ab...

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  3. Find the inverse of the matrix [[1,2],[3,4]]

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  4. 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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  5. Solve for x, |{:(15-2x,11,10),(11-3x,17,16),(7-x,14,13):}|=0

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  6. Find absolute maximum and absolute minimum of f(x)={((x+1)^2,xle0),((x...

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  7. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

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  8. If y=e^(ax)sinbx show that y2-2ay1+(a^2+b^2)y=0.

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  9. Find the equation of tangent to the curve x=y^2-2 at the points where ...

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  10. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  11. Solve dy/dx=x+y

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  12. int(2sinx+3cosx)/(3sinx+4cosx)dx=?

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  13. Solve (dy)/(dx)=(y^2)/(xy-x^2).

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  14. Integrate int(-3//5)^(3//5)[2x+1]dx

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  15. Evaluate int0^1(x^5)/sqrt(1-x^2) dx

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  16. Find the co-ordinates of the point where the perpendicular from the or...

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  17. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

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  18. Find the equation of the plane passing through the line x = y = z and ...

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  19. Find the equation of the line through (-1,0,1) and perpendicular to th...

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  20. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

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