Kruger,
Your best bet to get this type of information is going to be through the SQL Server Enterprise Manager. J2EE Engines typically do not grow as they rarely hold information but are pass-through systems. For this reason, there is little detail in the Portal for this specific type of information.
If you setup the Solution Manager as a CEN Monitor for the Java Instance you can provide some thresholds for the MTE's on Db but again, won't hold informaiton on size history.
Hope that helps - if this answers your question, please set this thread to answered.
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