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

lf a ,b , in {1,2,3,4,5,6,}, find the number of ways a and b can be selected if lim_(x->0)((a^x+b^x)/2)^(2/x)=6.

lf a ,b , in {1,2,3,4,5,6,}, find the number of ways a and b can be selected if lim_(x->0)((a^x+b^x)/2)^(2/x)=6.

lf a ,b , in {1,2,3,4,5,6,}, find the number of ways a and b can be selected if lim_(x->0)((a^x+b^x)/2)^(2/x)=6.

lf a ,b , in {1,2,3,4,5,6,}, find the number of ways a and b can be selected if lim_(x->0)((a^x+b^x)/2)^(2/x)=6.

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.

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.

If f(x)=x^3+b x^2+c x+d and 0 < b^2 < c , then f(x) is

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