If `h(x)=x^2-2`,then the value of `frac{1}{2}h(frac{1}{2})`is

The value of int frac{dx}{(x+2)(x+3)

The value of int frac{dx}{x^2+5x+6} is:

If the range of the function f(x)= 3x^2+bx+c is [0,oo) then value of frac{b^2}{3c} is

If f(x)=x^3-frac{1}{x^(3)} find the value of f(x)+f(frac{1}{x})

If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n d\ h(x)=2x^2-3, then find the values of (2fg+g-h)(1)\ a n d\ (2f+g-h)(1)dot

\lim _{x\to 0}(\frac{1}{e^x-1}-\frac{1}{x}\)

If z(x+y)= x^2 +y^2 show that (frac{delz}{delx}-frac{del z}{del y})^2 = 4 (1- frac{delz}{delx}+frac{delz}{dely})

If h(x)=2^(kx-1) , what is the value of (h(a)h(b))/(h(a+b)) ?

dy/dx = cos frac{x}{2} / 2

If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 cuts the circle x^(2)+y^(2)=a^(2) at points Q(x_(1),y_(1)) and R(x_(2),y_(2)) , then the value of (1)/(y_(1))+(1)/(y_(2)) is