How do I resolve the Windows Analytics Agent Service start-up error "Analytics Agent service terminated unexpectedly"?

[#1]

Why am I seeing a Windows Analytics Service startup error?

Symptoms

Windows Analytics Agent service fails to start. However, if you start the Agent from the command line, the service starts as expected.

The Event viewer shows the event:

ERROR: 
The AppDynamics Analytics Agent service terminated unexpectedly. It has done this 1 time(s).
DETAIL:
- System
- Provider
[ Name] Service Control Manager 
[ Guid] {555908d1-a6d7-4695-8e1e-26931d2012f4} 
[ EventSourceName] Service Control Manager 
- EventID 7034

The sc command - sc query "AppDynamics Analytics Agent"
SERVICE_NAME: AppDynamics Analytics Agent 
TYPE : 10 WIN32_OWN_PROCESS 
STATE : 1 STOPPED 
WIN32_EXIT_CODE : 1067 (0x42b) 
SERVICE_EXIT_CODE : 0 (0x0) 
CHECKPOINT : 0x0 
WAIT_HINT : 0x0

The Agent logs do not log anything.

Debugging Steps

The Analytics Agent starting activities can be captured in the exe4j logs. To enable this log:

1. Set a system environment variable EXE4J_LOG and set the value to yes
   
   
2. After this is set, start the service again. This will generate the startup activity logs in c:\windows\temp directory with the file name prefix i4j_nlog_*
   
   For example:
   

   Trying c:\program files (x86)\java\jre1.8.0_60\bin\hotspot\jvm.dll (exists 0)
   Trying c:\program files (x86)\java\jre1.8.0_60\bin\client\jvm.dll (exists 1)
   Failed with error code 193
   Trying c:\program files (x86)\java\jre1.8.0_60\bin\server\jvm.dll (exists 0)
   Trying c:\program files (x86)\java\jre1.8.0_60\bin\classic\jvm.dll (exists 0)
   Trying c:\program files (x86)\java\jre1.8.0_60\bin\jrockit\jvm.dll (exists 0)
   .....
   ERROR: Could not get DLL-Handle.
   ERROR: Could not load functions​

   
   The above log statements are seen when a 32-bit JRE is used with the analytics agent on a 64-bit machine