Match the LIST-I with LIST-II

	LIST-I (Function)		LIST-II (Critical point)
A.	$y = x^2 + x + 1$	I.	$2/3$
B.	$y = 2x^3 - 6x^2 + 6x$	II.	$-1$
C.	$y = 2x^2 + 4x - 1$	III.	$-1/2$
D.	$y = x^3 - x^2$	IV.	$1$

Choose the correct answer from the options given below:

The real valued function $f(x) = 12x^\frac{4}{3} - 6x^\frac{1}{3}, x \in [-8, 8]$ has absolute maximum value equal to

The function $f(x) = x^2 - x + 1$ is

A solid sphere of gold of radius 5 cm, is being melted in a furnace such that the radius is decreasing uniformly. When the radius is 1cm, the rate at which surface area (A) is decreasing w.r.t. time ($t$) is equal to

($\frac{dv}{dt}$ = rate at which volume is decreasing w.r.t. $t$)

The interval for which the function $f(x)=\frac{x}{x^2+x+1}$ is an increasing function, is:

The rate of change of volume of a sphere with respect to its surface area, when the radius is 6cm is:

The function $f(x) = x^3 + 3x^2 + 4x + 4$, $x \in \mathbb{R}$ (set of real numbers) :