Final answer:
The correct option in this scenario is to perform an emergency shutdown and investigate the issue. The correct option is (3).
Step-by-step explanation:
The subject of this question is Engineering.
When encountering a situation where the EGT (Exhaust Gas Temperature) is rapidly rising above 35% N2 (engine speed), the correct option would be Option 3: Perform an emergency shutdown and investigate the issue.
This is because a rapid rise in EGT indicates a malfunction in the start-up process, which could potentially be a serious issue.
Performing an emergency shutdown and investigating the problem will ensure the safety of the engine, prevent further damage, and allow for repairs or adjustments to be made as necessary.