If f(x)=`(x^3)/(3)+3x^(2)+k^(2)x-10` is a many one function,find sum of all positive integral values of k

Let f be a function defined from R rarr R as f(x)={ x+p^(2) x 2} If f(x) is surjective function then sum of all possible integral values of p for p in [0 ,10] is

If 5x^(2)-2kx+1<0 has exactly one integral solution which is 1 then sum of all positive integral values of k.

If f(x)=x^(3)+x^(2)+kx+4 is always increasing then least positive integral value of k is

If exactly one root of the equation x^(2)-2kx+k^(2)-1=0 satisfies the inequality log_(sqrt(3))(2-x)<=0 then find sum of all possible integral values of k

Let f:R rarr R such that f(x)={2x+k^(2)f or x<=3 and kx+10f or x< If f is surjective,then the sum of all possible integral values of k in the interval [-50,50] is equal to

If the function f(x)=(sqrt(x^(2)+kx+1))/(x^(2)-k) is continuous for every x in R , then possible integral values of k

Let f(x)=(x^(2))/(9-x^(2)) and l= number of integers in the domain of f(x) where f(x) is increasing m= number of solutions of f(x)=sin xn= least positive integral value of k for which f(x)=k posses exactly 3 different solutions then

If quad f(x)=(2)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-ln(x^(2)+x+1)+(k^(2)-5k+3)x+10 is a decreasing function for all x in R .then possible value of k is

If the inequality (x^(2)-kx-2)/(x^(2)-3x+4)>-1 for every x in R and S is the sum of all integral values of k, If the inequalitythen find the value of S^(2)

f(x)=x^3-3x^2-3/2f''(2)+f''(1) is double differenciation function then find the sum of all minimas