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Write the interval in which y=lnx, xin R...

Write the interval in which `y=lnx, x`in` R_(+)` is increasing, decreasing.

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MODERN PUBLICATION-TEST PAPER 2-PROBLEM
  1. If omega is a complex cube root of 1,then for what value of. lamda the...

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  2. What is the derivative of cos^(-1)(2x^(2)-1) if x in (-1,0).

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  3. Write the interval in which y=lnx, xin R(+) is increasing, decreasing.

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  4. Evaluate int0^2|x-2|dx

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  5. What is the differential equation whose solution is y=3x+k?

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  6. if |vec(a)+vec(b)|=|vec(a) -vec(b)| the what is the relation between v...

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  7. Write the equation of the plane perpendicular to z-axis and passing th...

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  8. let f:ArarrB is a bijective function. Do you think f^(-1):BrarrA is al...

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  9. Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...

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  10. Find the number of equivalence, relations on X ={1,2,3),

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  11. Find the inverse of the following matrices using elementary transforma...

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  12. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

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  13. Prove that the following. [[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=...

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  14. Prove that the following. [[b+c,a,a],[b,c+a,b],[c,c,a+b]]=4ab

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  15. Find the inverse of the following matrix [{:(0,0,2),(0,2,0),(2,0,0):}]

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  16. Examine the continuity of the following functions at indicated points....

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  17. if x=e^(t)sin t and y=e^(t)cos t, then prove that (x+y)^(2)(d^(2)y)/dx...

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  18. Differentiate. x^(sin x)+(tan x)^x

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  19. Find the equation of the normal at a point on the curve x^(2) = 4y, wh...

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  20. etermine the sub-interval of (-(pi)/(2),(pi)/(2)), in which f(x)=tan x...

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