WHAT GRADE DO YOU FEEL YOU DESERVE ON MIDTERM #3? A) AB) B C) CD) DE) E.

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Presentation transcript:

WHAT GRADE DO YOU FEEL YOU DESERVE ON MIDTERM #3? A) AB) B C) CD) DE) E

THE AREA PROBLEM

STATISTICS (PROBABILITY)

ECOLOGY

ENGINEERING

CHEMISTRY

MUSIC

DISTANCE

THE AREA PROBLEM

A SOLUTION TO THE AREA PROBLEM

BERNHARD RIEMANN GaussRiemann Riemann Sum

NET AREA

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?

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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.

EXAMPLE Find the area beneath the curve y=.5x between x=2 and x=6. Find the area using the definition of definite integral.