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Construct a 2xx2 matrix whose elements a...

Construct a `2xx2` matrix whose elements are given by `a_ij=2i+3j/4`

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A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. A pair of dice is thrown 4 times. If getting a doublet is considered a...

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  2. If a matrix has 8 elements,then the order of the matrix can be

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  3. Construct a 2xx2 matrix whose elements are given by aij=2i+3j/4

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  4. If [(1,0,0),(2,0,1),(1,0,2):}][(0),(2),(x):}] = 0 find the value of x.

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  5. If y=e^logx,then dy/dx is a)e^logx b)logx c)1/x d)1

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  6. Find (dy/dx) if x=k( theta-sin theta), y=k(1+cos theta)

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  7. Find the second derivative of y = xtan^-1 x

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  8. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

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  9. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

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  10. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

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  11. Write the scalar components of 3hati-2hatj+5hatk

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  12. Find the angle between the vectors hati+hatj and hati-hatj.

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  13. Find '|vecx|', if for a unit vector 'veca,(vecx-veca) .(vecx+veca)=12'

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  14. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x =

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  15. prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0

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  16. Principal value of tan^-1sqrt3is ------------

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  17. Write the following functions in the simplest form : tan^(-1) sqrt((...

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  18. Find int(x^2)/(2x^3+1) dx=--------

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  19. Prove that the function f(x)=2x-5 is continuous at x=-2

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  20. If xsqrt(1+y)=sqrtx, prove that dy/dx=-1/(x^2)

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