eliminate vs exterminate

eliminate

verb
  • To completely remove, get rid of, put an end to. 

  • To kill (a person or animal). 

  • To exclude (from investigation or from further competition). 

  • To record amounts in a consolidation statement to remove the effects of inter-company transactions. 

  • To excrete (waste products). 

exterminate

verb
  • To bring a definite end to; finish completely. 

  • To kill all of (a population of pests or undesirables), usually intentionally. 

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