Sketch the curves
(i)`y=sqrt(x-[x])`
(where [.] denotes the greatest integer function).

Sketch the curves (iii) y=|[x]+sqrt(x-[x])| (where [.] denotes the greatest integer function). (where [.] denotes the greatest integer function).

Sketch the curves (iii) y=|[x]+sqrt(x-[x])| (where [.] denotes the greatest integer function). (where [.] denotes the greatest integer function).

int_0^(2) [2x]dx = , where [.] denotes the greatest function.

If [x]^(2)-5[x]+6=0 , where [.] denotes the greatest integer function, then :

Three non-zero real numbers form a AP and the squares of these numbers taken in same order form a GP. If the possible common ratios are (3pm sqrt(k)) where k in N , then the value of [(k)/(8)-(8)/(k)] is (where [] denotes the greatest integer function).

Find the number of solution of the equations |cos x |=[x] , (where [.] denotes the greatest integer function ).

lim_(x rarr oo) (log x)/([x]) , where [.] denotes the greatest integer function, is

Construct a 2xx3 "matrix"A=[a_(ij)] , whose elements are give by a_(ij)=[{:(i)/(j):}] , where [.] denotes the greatest integer function.