CUET Mathematics 2022 17 Aug Shift 2 PYQs

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which the area increases when the side is 10 cm, is

For the function $f(x) = e^{-2x}(2-x)^2$, the point of local maxima is:

A balloon which always remains spherical, has a variable diameter $\frac{3}{2}(5x+7)$. Then the rate of change of its volume with respect to x is