All the values of m for which the function `(m – 2)x^3 -12x^2 + 3(m + 4)x - 11` is monotonic for all x lie in theinterval `(-oo,-k) uu [2,oo)`. Then the numerical quantity k should be

All the values of m for which the function (m2)x^(3)-12x^(2)+3(m+4)x-11 is monotonic for all x lie in theinterval (-oo,-k)uu[2,oo). Then the numerical quantity k should be

All the values of parameter m for which the functions f(x)=(x^3)/3+(m-1)x^2+(m+5)x+7 is increasing for all x >0 lie in the interval is equal to

If all the real values of m for which the function f(x)=(x^(3))/(3)-(m-3)(x^(2))/(2)+mx-2013 is strictly increasing in x in[0,oo) is [0, k] ,then the value of k is,

Find the values of 'm' for which (m2)x^(2)+8x+m+4>0 for all real x .

If the function f(x)=2x^(2)+3x-m log x is monotonic decreasing in the interval (0,1) then the least value of the parameter m is

All the values of m does the equation mx^(2)-(m+1)x+2m-1=0 passes no real root is (-oo,a)uu(b,oo) ,then a+b is

All the values of m does the equation mx^(2)-(m+1)x+2m-1=0 passes no real root is (-oo,a)uu(b,oo) ,then a+b is

If the function f(x)=2x^(2)-kx+5 is increasing on [1,2], then k lies in the interval (a) (-oo,4)(b)(4,oo)(c)(-oo,8)(d)(8,oo)

if has set of all values of the parameter 'a' for which the function f(x) = sin 2x -8 (a+1) sin x + (4a^(2) +8a -14) x increases for all x in R and has no critical points for all x in R" is " (-oo , -m -sqrt(n))uu (sqrt(n) ,oo) then (m^(2) +n^(2)) is (where m,n are prime numbers):