dismiss vs engage

dismiss

verb
  • To send or put away, to discard with disregard, contempt or disdain. (sometimes followed by as). 

  • To get a batsman out. 

  • To give someone a red card; to send off. 

  • To reject; to refuse to accept. 

  • To order to leave. 

  • To invalidate; to treat as unworthy of serious consideration. 

  • To discharge; to end the employment or service of. 

  • To dispel; to rid one’s mind of. 

engage

verb
  • To attract, to please; (archaic) to fascinate or win over (someone). 

  • To enter into conflict with (an enemy). 

  • To come into gear with. 

  • To enter into (an activity), to participate (construed with in). 

  • To draw into conversation. 

  • To mesh or interlock (of machinery, especially a clutch). 

  • To guarantee or promise (to do something). 

  • To engross or hold the attention of; to keep busy or occupied. 

  • To arrange to employ or use (a worker, a space, etc.). 

  • To bind through legal or moral obligation (to do something, especially to marry) (usually in passive). 

  • To enter into battle. 

How often have the words dismiss and engage occurred in a corpus of books? (source: Google Ngram Viewer )