CUET Mathematics 2023 22 May Shift 3 PYQs

The interval in which the function given by $f(x) = x^2 e^{-x}$ is strictly increasing is:

The rate of change (in $\mathrm{cm}^{2} / \mathrm{s}$ ) of the total surface area of a hemisphere with respect to radius $r$ at $r=\sqrt[3]{1.331} \mathrm{~cm}$ is :

If $x = -1$ and $x = -2$ are the extreme points of $f(x) = \alpha\log|x| + \beta x^2 + x$ then