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Unformatted text preview: The limits as n of both the lower and upper sums exist and are equal to each other. That is x m f n s n i i n n = = ) ( lim ) ( lim 1 Where f (mi) and f (Mi) are the minimum and maximum values of f on the i th subinterval. x M f n i i n = = ) ( lim 1 ) ( lim n S n = Defn. of the Area of a Region in the Plane Let f be continuous and nonnegative on the interval [a, b]. The area of the region bounded by the graph of f, the xaxis, and the vertical lines x = a and x = b is x c f Area n i i n = = ) ( lim 1 Distance 1 = n i ( ) lim f t t Joke Time What is 7Q + 3Q? Youre welcome! How do hearing impaired people greet one another? They sine waves...
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This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.
 Fall '08
 JARVIS
 Calculus

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