Let R be the set of all real numbers. What does `R xx R xx R` represent?

If R is the set of all real numbers. What does the cartesian product RXRXR represent?

If R denotes the set of all real numbers, then the function f : R to R defined by f (x) =[x] is

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

Let R be the set of real number and the mapping f :R to R and g : R to R be defined by f (x)=5-x^(2)and g (x)=3x-4, then the value of (fog) (-1) is

Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1)=1. If the y - intercept of the tangent at any point P(x , y) on the curve y=f(x) is equal to the cube of the abscissa of P , then the value of f(-3) is equal to________

On the set N of all natural numbers define the rational R by aRb iff the G.C.D. of a and b is 2. Then R is

Let R be a relation defined on the set of natural numbers N as R={(x ,\ y): x ,\ y in N ,\ 2x+y=41} Find the domain and range of R . Also, verify whether R is (i) reflexive, (ii) symmetric (iii) transitive.

Let f be a function defined on R (the set of all real numbers) such that f^(prime)(x)=2010(x-2009)(x-2010)^2(x-2011)^3(x-2012)^4, for all x in Rdot If g is a function defined on R with values in the interval (0,oo) such that f(x)=ln(g(x)), for all x in R , then the number of point is R at which g has a local maximum is ___

Let r be relation from R (set of real numbers) to R defined by r={(a,b)|a, b in R and a-b+sqrt3 isan irrational number}. The relation r is