what grade do you feel you deserve on midterm #3? a) ab) b c) cd) de) e

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  • Slide 1
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  • WHAT GRADE DO YOU FEEL YOU DESERVE ON MIDTERM #3? A) AB) B C) CD) DE) E
  • Slide 3
  • THE AREA PROBLEM
  • Slide 4
  • STATISTICS (PROBABILITY)
  • Slide 5
  • Slide 6
  • ECOLOGY
  • Slide 7
  • ENGINEERING
  • Slide 8
  • CHEMISTRY
  • Slide 9
  • MUSIC
  • Slide 10
  • DISTANCE
  • Slide 11
  • THE AREA PROBLEM
  • Slide 12
  • A SOLUTION TO THE AREA PROBLEM
  • Slide 13
  • Slide 14
  • BERNHARD RIEMANN GaussRiemann Riemann Sum
  • Slide 15
  • Slide 16
  • NET AREA
  • Slide 17
  • EXAMPLE A) Still working B) Finished! C) Stuck! Find the area beneath the curve y=.5x between x=2 and x=6. How do you express this problem using integral notation?
  • Slide 18
  • EXAMPLE A) Still working B) Finished! C) Stuck! Find the area beneath the curve y=.5x between x=2 and x=6. Find the area using this sketch.
  • Slide 19
  • EXAMPLE A) Still working B) Finished! C) Stuck! Find the area beneath the curve y=.5x between x=2 and x=6. Estimate the area using R 4.
  • Slide 20
  • EXAMPLE Find the area beneath the curve y=.5x between x=2 and x=6. Find the area using the definition of definite integral.
  • Slide 21