The complete set of values of a for which the function `f(x)=tan^(-1)(x^(2)-18x +a)gt 0 AA x in R` is

Find the complete set of values of lambda , for which the function f(x) = {{:(x + 1, x lt 1),(lambda,x = 1),(x^(2) - x + 3,x gt 1):} is strictly increasing at x = 1.

The comlete set of values of m for which the inequality (x ^(2) -mx-2)/( x ^(2) + mx +4)gt-1 is satisfied aa x in R, is :

The comlete set of values of m for which the inequality (x ^(2) -mx-2)/( x ^(2) + mx +4)gt-1 is satisfied aa x in R, is :

Let f(x)=tan^(-1)(x^(2)-18x+a)>0x in R Then the value of a lies in

The set of values of k for which x^(2)+(4k-1)x+9>0AA x in R is

Find the extreme values of the function f(x)=x^2e^(-x^2) and show that f(x)lee^(-1)AA x in R .

The set of values of k for which kx^(2)-x-k+1<0AA x in R, is

Minimum value of the function f(x)=(1+sin x)(1+cos x)AA x in R, is

The Minimum value of the function f(x)=x^(3)-18x^(2)+96x in [0,9]

Let f(x) = tan^(-1) (x^2-18x + a) gt 0 x in R . Then the value of a lies in