Fill in the blanks:
The set `{x in R : 1 le x < 2}` can be written as __________

Fill in the blanks: The value of cos (sin^-1 x + cos^-1, |x| le 1 , is………..

Fill in the blanks: The function f(x) = 4x - 3 is strict ____ function for all x in R.

Fill in the blanks: The set of values of sec^-1 (1/2) is ……………

Fill in the blanks: br The function f(x) = e^2x is increasing on R…….

Fill in the blanks: For x in R, tan^-1 (x^2 +1) + cot^-1 (x^2 +1) is equal to ……………..

Fill in the blanks: The maximum value of sin x + cos x, x in R, is _______.

Fill in the blanks: The function f(x)= lfloor x rfloor is discontinuous at all points of the set of …………… .

Fill in the blanks The are bounded by the axes and the line y= x+1 is………. .

Show that each of the relation R in the set A = {x in Z : 0 le x le 12} , given by: R = {(a, b) : a = b} , is an equivalence relation. Find the set of all elements related to 1 in each case.

Show that each of the relation R in the set A = {x in z : 0 le x le 12} , given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalec relation. Find the set of all elements related to 1 in each case.