Lesson 4.2 day 2

12.07.2015 • Views

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Lesson 4.2 day 2

Lesson 4.2 day 2

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Defs.Area of the i th inscribed rectangle = f (m i ) .xArea of the i th circumscribed rectangle =f (M i ).xLower sum = s(n) =ni = 1.f (m i ) xtotal areaof inscribedrectanglesUpper sum = S(n) =nf (M i ). xi = 1total areaof circumscribedrectangless(n)Area ofRegionS(n)9

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Defs.Area of the i th inscribed rectangle = f (m i ) .xArea of the i th circumscribed rectangle =f (M i ).xLower sum = s(n) =ni = 1.f (m i ) xtotal areaof inscribedrectanglesUpper sum = S(n) =nf (M i ). xi = 1total areaof circumscribedrectangless(n)Area ofRegionS(n)9

Page 1 and 2: 4.2 Area . . . Day 2Origins of Calc
Page 3 and 4: left endpoints:| | | |0 1 2 3 4 5|
Page 5 and 6: Theory and Terminology:y = f (x)(a,
Page 7: y = f (x)(a, f (a))(b, f (b))a x 1
Page 14 and 15: Assignmentp262-263 #23-29 odd,#47,