back up vs support

back up

verb
  • To provide support or the promise of support to. 

  • For the non-striker to take a few steps down the pitch, in preparation to taking a run, just as the bowler bowls the ball. 

  • To move backwards, especially for a vehicle to do so. 

  • To copy (data) so that it can be restored if the main copy is lost. 

  • To undo one's actions. 

  • For a fielder to position himself behind the wicket (relative to a team-mate who is throwing the ball at the wicket) so as to stop the ball, and prevent overthrows. 

  • To fill up because of a backlog. 

  • To halt the flow or movement of something. 

  • To reconsider one's thoughts. 

  • To move a vehicle backwards. 

  • Coordinate terms: back away, back off, stand back 

support

verb
  • To serve, as in a customer-oriented mindset; to give support to. 

  • To keep from falling. 

  • To be designed (said of machinery, electronics, or computers, or their parts, accessories, peripherals, or programming) to function compatibly with or provide the capacity for. 

  • To help, particularly financially. 

  • To back a cause, party, etc., mentally or with concrete aid. 

  • To verify; to make good; to substantiate; to establish; to sustain. 

  • To answer questions and resolve problems regarding something sold. 

  • To be accountable for, or involved with, but not responsible for. 

  • To assume and carry successfully, as the part of an actor; to represent or act; to sustain. 

noun
  • An actor playing a subordinate part with a star. 

  • Answers to questions and resolution of problems regarding something sold. 

  • Evidence. 

  • Something which supports. 

  • An accompaniment in music. 

  • Compatibility and functionality for a given product or feature. 

  • Horizontal, vertical or rotational support of structures: movable, hinged, fixed. 

  • Financial or other help. 

  • A set whose elements are at least partially included in a given fuzzy set (i.e., whose grade of membership in that fuzzy set is strictly greater than zero). 

  • in relation to a function, the set of points where the function is not zero, or the closure of that set. 

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