11 In this question you must show detailed reasoning.
The variables \(x\) and \(y\) are such that \(\frac { \mathrm { dy } } { \mathrm { dx } }\) is directly proportional to the square root of \(x\).
When \(x = 4 , \frac { d y } { d x } = 3\).
- Find \(\frac { \mathrm { dy } } { \mathrm { dx } }\) in terms of \(x\).
When \(\mathrm { x } = 4 , \mathrm { y } = 10\).
- Find \(y\) in terms of \(x\).