Amino Acids:
- Building blocks of proteins, containing an amino group (\(-NH_2\)) and a carboxyl group (\(-COOH\)).
- Essential amino acids must be obtained from the diet.
- Functions: Protein synthesis, enzyme activity, and metabolism regulation.
Nucleic Acids:
- DNA and RNA are polymers of nucleotides, composed of a sugar, phosphate group, and nitrogenous base.
- DNA stores genetic information, while RNA is involved in protein synthesis.
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $