The set of values of x for whichj `x^2-|x+2|+xgt0` is

Determine the values of x for which the function f(x)= x^x, xgt0 is increasing or decreasing.

The range of value of x for which the function f(x)=x/logx,xgt0 and "x"ne1 , may be decreasing is

The area of the region for which 0ltylt3-2x-x^(2) and xgt0 is

The maximum value of the function x^(2)e^(-2x),xgt0 is

Solution set of x satisfying x^2-abs(x+2)+xgt0 is

The value of p and q for which the function f(x)={((sin(p+1)x+sinx)/x, x lt 0),(q, x = 0),((sqrt(x+x^2)-sqrtx)/x^(3/2), xgt0):} is continuous for all x in R, is

If xgt0 , then prove that the value of the polynomial (2x+2^(-x)-2) is positive.

The maximum value of (1/x)^x, xgt0 is