The minimum value of $f(x) = e^x + e^{-x}$ is

The absolute maximum value of the function $f(x) = \frac{x}{2} + \frac{2}{x}$ in the interval $[-3, 3]$, is

Based on above information answer the following question :

If area of the flower bed is maximum, then area (in $m^2$) of the garden, which is outside the flower bed is :

If $y = a\log x + bx^2 + x$ has extreme values at $x = 1$ and $x = 2$, then

The minimum value of the function $f(x) = x^3 + (10-x)^3$ occurs at:

The maximum slope of the curve $y = -x^3 + 3x^2 + 9x - 27$ is:

If $\alpha$ and $\beta$ are absolute maximum and absolute minimum values of a function $f(x)=\dfrac{x}{2}+\dfrac{2}{x}$ on the interval $[1,2]$, then the value of $\alpha+\beta$ is: