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Unformatted text preview: f ( c 1 ) Â· Î” x + f ( c 2 ) Â· Î” x + f ( c 3 ) Â· Î” x = (1 + 4 + 5) Â· 1 = 10 . (b) Right endpoints: The right endpoints of the intervals are given by c k = a + k Î” x =2 + k, k = 1 , 2 , 3 , or c 1 =1 , c 2 = 0 , c 3 = 1 .21 1 21 1 2 3 4 5 The heights of the rectangles are given in the following table: k c k f ( c k ) 11 f (1) = 5(1) 2 = 4 2 f (0) = 5(0) 2 = 5 3 1 f (1) = 51 2 = 4 So the approximate area is given by f ( c 1 ) Â· Î” x + f ( c 2 ) Â· Î” x + f ( c 3 ) Â· Î” x = (4 + 5 + 4) Â· 1 = 13 . 2...
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This note was uploaded on 04/02/2012 for the course MTH 132 taught by Professor Kihyunhyun during the Fall '10 term at Michigan State University.
 Fall '10
 KIHYUNHYUN
 Calculus, Angles

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