The overall order of a reaction is determined by summing the exponents of the concentration terms in the rate law.
In this case, the rate law is given as \( \text{Rate} = k[A]^2[B] \).
The exponent of \( [A] \) is 2 and the exponent of \( [B] \) is 1.
Therefore, the overall order is \( 2 + 1 = 3 \).
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