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What is the principal value of `sin^(-1)(sin((2pi)/3))`?

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SHARAM PUBLICATION-MODEL QUESTION PAPER 20-EXERCISE
  1. If R= {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} a symmetric relation o...

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  2. What is the principal value of sin^(-1)(sin((2pi)/3))?

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  3. Show that feasible region for the following constarints in a graph 2x+...

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  4. If omega is a complex cube root of 1,then for what value of. lamda the...

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  5. If y = tan^(-1)sqrt(1+x^2) then find (dy)/(dx).

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  6. Find the open interval in which f(x)= x^(1/x), x > 0 is decreasing.

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  7. Evaluate int cot (x/3) dx.

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  8. What is the general solution of the differential equation (dy)/(dx)=(y...

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  9. Find the scalar projection of the vector 2hati+hatj+5hatk on the vect...

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  10. Find the direction cosines of the line (x-4)/3=(y-2)/6=(z-1)/3.

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  11. Evaluate int tan 3x dx.

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  12. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

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  13. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

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  14. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

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  15. Find the inverse of the matrix [[0,0,2],[0,2,0],[2,0,0]].

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  16. f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

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  17. Find(dy)/(dx) when y=e^(x-y).

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  18. If y =2^(x^2)+ tan^(-1)2x then find (dy)/(dx).

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  19. Find dy/dx when siny=cos(x+y).

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

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