Ethene at 333–343 K and 6–7 atm pressure in the presence of \( \text{AlEt}_3 \) and \( \text{TiCl}_4 \) undergoes addition polymerization to give high-density polyethylene (HDPE), not low-density polyethylene (LDPE).
Caprolactam undergoes ring-opening polymerization in the presence of water at high temperatures (533–543 K) to form Nylon 6. This is an example of step-growth polymerization.
The reaction can be represented as
Thus, Statement II is true.
Statement I is false, but Statement II is true.
Let \( y = f(x) \) be the solution of the differential equation
\[ \frac{dy}{dx} + 3y \tan^2 x + 3y = \sec^2 x \]
such that \( f(0) = \frac{e^3}{3} + 1 \), then \( f\left( \frac{\pi}{4} \right) \) is equal to:
Find the IUPAC name of the compound.
If \( \lim_{x \to 0} \left( \frac{\tan x}{x} \right)^{\frac{1}{x^2}} = p \), then \( 96 \ln p \) is: 32