[maths] Re: follow up on my last one -- integrals

  • From: "Nelson Blachman" <blachman@xxxxxxx>
  • To: <maths@xxxxxxxxxxxxx>
  • Date: Sat, 09 Dec 2006 08:01:52 -0800

Ned,

  You might say that F(x) increases whenever f(x) > 0 and F(x) decreases 
whenever f(x) < 0, going along horizontally when f(x) = 0.

  --Nelson
  From: Ned Granic 
  To: maths@xxxxxxxxxxxxx 
  Sent: Thursday, December 07, 2006 9:42 AM
  Subject: [maths] follow up on my last one -- integrals


  With regard to rough sketches of integrals, this particular problem says:
  Make a rough sketch of an integral F given that F(0) = 2.
  The f curve is on an x y grid;
  y scale is 0 to 2, x scale is 0 to 5.
  It starts at (02) and ends at (4.2)
  Between (0,2) and (2,2) it dipps down to (1,1) and then at (2,2) it suddenly 
curves up to(3,3), and then it curves back down to (4.2).

  W/o calculating the points, what should the graph of F roughly look like?

  Many thanks in advance again!
  Ned

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