Fat-soluble vitamins can be stored in the body, typically in the liver and adipose tissue, as they are not readily excreted.
The fat-soluble vitamins are:
\( A, \, D, \, E, \, K, \, \text{and} \, B_{12} \)
Thus, the number of vitamins that can be stored in the body is: 5.
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