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1.
Domain of the Funtion
![cos^{-1}(\frac{2-|x|}{4}) +[log(3-x)]^{-1}+\sqrt{x}](https://latex.codecogs.com/gif.latex?cos%5E%7B-1%7D%28%5Cfrac%7B2-%7Cx%7C%7D%7B4%7D%29%20+%5Blog%283-x%29%5D%5E%7B-1%7D+%5Csqrt%7Bx%7D)
is
is
2.
For complex numbers z1 = x1 + iy1 and z2 = x2 + iy2, (where i = 
), we write z1 ∩ z2 for x1 ≤ x2 and y1 ≤ y2, then for all complex numbers z with 1 ∩ z, we have 
), we write z1 ∩ z2 for x1 ≤ x2 and y1 ≤ y2, then for all complex numbers z with 1 ∩ z, we have
3.
If 
, 
and f(x) = x2 + 2, then f(A) equals
, and f(x) = x2 + 2, then f(A) equals
4.
If x is so small that x2 and higher powers can be neglected, then 
equals
equals
5.
In a sequence of (4n + 1) terms, the first (2n + 1) terms are in AP, whose common difference is 2, and the last (2n + 1) terms are in GP, whose common ratio is 0.5. If the middle terms of the AP and GP are equal, then the middle term of the sequence is
6.
If f(x) is continuous in (n
, (n + 1)
), then
If f(x) is continuous in (n
, (n + 1)), then
7.
If 
, then the global maximum and local minimum values of f(x) for x 
[-2, 2], respectively, are
, then the global maximum and local minimum values of f(x) for x [-2, 2], respectively, are
8.
If 
then the value of k is
then the value of k is
9.
The mean of n items is 
. If these n items are successively increased by 2, 22, 23, …, 2n, then the new mean is
. If these n items are successively increased by 2, 22, 23, …, 2n, then the new mean is
10.
If f(x) and g(x) are two solutions of the differential equation 
then f(x) - g(x) is the solution of
then f(x) - g(x) is the solution of