If `x^(2)+10x=24 and xgt0`, what is the value of `x+5`?

If 5lt|2-x|lt6 and xgt0 , what is one possible value of x?

x^(2)+y^(2)=416 y+5x=0 If (x, y) is a solution to the system of equations above and xgt0 , what is the value of the difference x-y ?

If (-3)/(x)+4le-11 and xgt0 , what ist he greatest possible value for x?

If the median of x/5,x/4,x/2,x and x/3, "where"xgt0, is 8, find the value of x HINT Arranging the observation in ascending we have x/5,x/4,x/3,x/2,x "Median"=x/3=8

If xgt0,ygt0 and x+y=1, then find the minimum value of x log x + y log y.

If the median of (x)/(5),x,(x)/(4),(x)/(2),(x)/(3)(xgt0) is 8, then the value of x is

Consider the fucntion f(x)=((1)/(x))^(2x^2) , where xgt0 . At what value of x does the function attain maximum value ?

Given : f(x)=x^((1)/(x)),(xgt0) has the maximum value at x=e , then

Let f(x)={{:((sin(a+1)x+sinx)/(x)",","when " xlt0),(" c,","when "x=0),(((x+bx^(2))^((1)/(2))-x^((1)/(2)))/(bx^((3)/(2)))",","when "xgt0):} If f (x) is continuous at x =0 , determine the values of a , b and c .