Fraction part6

Fractional part of the number (3^(102))/(40) is :

The value of int_(0)^(|x|){x} dx (where [*] and {*} denotes greatest integer and fraction part function respectively) is

fractional part of 2^(78) /31 is:

Let f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tanx)xsgnx be an even function for all x in Rdot Then the sum of all possible values of a is (where [dot]a n d{dot} denote greatest integer function and fractional part function, respectively). (17)/6 (b) (53)/6 (c) (31)/3 (d) (35)/3

Discuss the minima of f(x)={x}, (where{,} denotes the fractional part of x)for x=6.

Let (6sqrt(6)+14)^(2n+1)=R , if f be the fractional part of R, then prove that Rf=20^(2n+1)

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. Solve: [x]^2-5[x]+6=0.

If domain of f(x) is (-oo,0) , then domain of f(6{x}^2-5(x)+ 1) is (where {.} represents fractional part function)

int_0^9{sqrt(x)}dx , where {x} denotes the fractional part of x , is 5 (b) 6 (c) 4 (d) 3

If the fractional part of the number (2^(403))/(15) is (k)/(15) then k is equal to