If `y=x^3-ax^2+12x+5` is increasing for all values of x, then a lies between `K_1` and `K_2` then `|K_2-K_1|`

if y=kx^(3)+3x^(2)+(2k+1)x+1000 is strictly increasing for all values of x, then the least of positive integral value which k can attain,is

If the function f(x)=(K sin x+2cos x)/(sin x+cos x) is strictly increasing for all values of x, then K 1K 2

If x=3k-2,y=2k is a solution of equation 4x-7y+12=0 then value of k is

If the function f(x)=2x^(2)-kx+5 is strictly increasing in [1,2] ,then k' lies in the interval

If x =3k-2 ; y =2k is a solution of equation 4x-7y+12=0 then find the value of k

The range of the value of k for which the number 3 lies between the roots of the equation x^(2)+(1-2k)x+(k^(2)-k-2)=0 is given by