Reactivity: The bromine atom in bromoethane is more reactive because it is bonded to an sp\(^3\)-hybridized carbon, making the \( C-Br \) bond weaker and more prone to cleavage. In bromobenzene, the bromine is bonded to an sp\(^2\)-hybridized carbon in the benzene ring, stabilizing the bond due to resonance.
Chemical Equation: The reaction of bromoethane with sodium in dry ether is the Wurtz reaction, forming ethane: \[ 2C_2H_5Br + 2Na \xrightarrow{\text{dry ether}} C_2H_6 + 2NaBr. \]
Write the product obtained when D-glucose reacts with \( H_2N - OH \).
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 $