a)
%CATALINA_HOME%\bin\tomcat -install "Tomcat" "%JAVA_HOME%\jre\bin\server\jvm.dll" -Djava.class.path="%CATALINA_HOME%\bin\bootstrap.jar;%JAVA_HOME%\lib\tools.jar" -Dcatalina.home="%CATALINA_HOME%" -Xrs -start org.apache.catalina.startup.Bootstrap -params start -stop org.apache.catalina.startup.Bootstrap -params stop -out "%CATALINA_HOME%\logs\stderr.log"

 
b)
%CATALINA_HOME%\bin\tomcat.exe -uninstall -Tomcat