be vs remain

be

verb
  • To occupy a place. 

  • Used to indicate that the subject has the qualities described by a noun or noun phrase. 

  • Used to indicate that the subject has the qualities described by an adjective. 

  • To occur, to take place. 

  • Used to link a subject to a measurement. 

  • Used to express future action as well as what is due to, intended to, or should happen. 

  • Used to state the age of a subject in years. 

  • Used to form the continuous aspect. 

  • Used to indicate that the subject and object are the same. 

  • To exist. 

  • Used to indicate that the values on either side of an equation are the same. 

  • Used to indicate that the subject plays the role of the predicate nominal. 

  • Used to indicate the time of day. 

  • Used to link two noun clauses, the first of which is a day of the week, recurring date, month, or other specific time (on which the event of the main clause took place), and the second of which is a period of time indicating how long ago that day was. 

  • To exist or behave in a certain way. 

  • Elliptical form of "be here", "go to and return from" or similar, also extending to certain other senses of "go". 

  • To tend to do, often do; marks the habitual aspect. 

  • Used to form the passive voice. 

  • Used to form the perfect aspect with certain intransitive verbs; this was more common in archaic use, especially with verbs indicating motion. "He is finished", and "He is gone" are common, but "He is come" is archaic. 

  • Used to indicate that the subject is an instance of the predicate nominal. 

  • Used to indicate passage of time since the occurrence of an event. 

  • To exist; to have real existence, to be alive. 

  • Used to indicate weather, air quality, or the like. 

noun
  • The name of the Cyrillic script letter Б / б. 

remain

verb
  • To continue in a state of being. 

  • To await; to be left to. 

  • To continue unchanged in place, form, or condition, or undiminished in quantity; to abide; to stay; to endure; to last. 

  • To be left after a number or quantity has been subtracted or cut off; to be left as not included or comprised. 

  • To stay after others or other parts have been removed or otherwise disappeared. 

noun
  • That which is left; relic; remainder. 

  • That which is left of a human being after the life is gone; relics; a dead body. 

  • Posthumous works or productions, especially literary works. 

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