For \( f(z) \) to be analytic, it must satisfy the Cauchy-Riemann equations:
\( \frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}, \quad \frac{\partial u}{\partial y} = -\frac{\partial v}{\partial x} \)
Solving these equations for the given function, the values of \( a, b, c, \) and \( d \) are found as \( a = 2, b = -1, c = -1, \) and \( d = 2 \).
Assertion (A): The boiling points of alkyl halides decrease in the order: RI>RBr>RCl>RF. Reason (R): The boiling points of alkyl chlorides, bromides and iodides are considerably higher than that of the hydrocarbon of comparable molecular mass.
Arrange the following compounds in increasing order of their boiling points: \includegraphics[]{6a.png}
\includegraphics[]{6b.png}
\includegraphics[]{6c.png}
(a) Arrange the following compounds in increasing order of their boiling point: \[ \text{(CH}_3\text{)}_2\text{NH, CH}_3\text{CH}_2\text{NH}_2, \text{CH}_3\text{CH}_2\text{OH} \]