Statement (B) is incorrect because Dalton proposed that atoms are indivisible, but later discoveries (e.g., protons, electrons, neutrons) disproved this. Statement (D) is incorrect because Dalton stated that atoms of the same element are identical in all properties, including mass. Statement (E) is correct as chemical reactions involve the reorganization of atoms but do not change their nature.
Thus, the incorrect postulates are (B) and (D) only.
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