If `a ,b ,c in {1,2,3,4,5,6,}` find the number of ways `a, b, c` can be selected if `f(x)=x^(3)+a x^2+b x+c` is an increasing function.

If a,b,in{1,2,3,4,5,6,}, find the number of ways a and b can 2 be selected if lim_(x rarr0)((a^(x)+b^(x))/(2))^((2)/(x))=6

If a , b , c are real numbers, then find the intervals in which f(x)=|x+a^2a b a c a b x+b^2b c a c b c x+c^2| is increasing or decreasing.

Number of points of inflection for f(x)=x^(2)e^(-|x|) is 1 (b) 2 (c) 3 (d) 4

If A={1,2,3},\ B={x , y} , then the number of functions that can be defined from A into B is 12 b. 8 c. 6 d. 3

If A={1,2,3,4}" and "B={1,2,3,4,5,6} are two sets and function f: A to B is defined by f(x)=x+2,AA x in A , then the function f is

Find x in terms of a , b and c : (a)/(x - a) + (b)/(x - b) = (2 c)/(x - c) , x - a , b , c

In the interval (1,2), function f(x)=2|x-1|+3|x-2| is (a) increasing (b) decreasing (c) constant (d) none of these

Find the value of n if a= 2^3 x 3, b = 2 x 3 x 5, c = 3^n x 5 and LCM (a, b, c) = 2^3 x 3^2 x 5.