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Unformatted text preview: imation for the above integral such that  e T  ≤ 5 4 6(4 3 )(1200) . (Recall the Trapezoidal Rule Error Bound: Suppose f 00 ( x ) is continuous on [ a,b ] and  f 00 ( x )  ≤ K for all x ∈ [ a,b ] then  e T  ≤ K ( ba ) 3 12 n 2 ) 5. Let R be the region enclosed by the curves y = 1 + √ x and y = 3 + x 3 . (a) ( 4 points ) Make a clear sketch the region R labeling all curves and important points. Be sure to shade R . (b) ( 6 points ) i. Draw a typical approximating rectangle when integrating with respect to x and lable Δ x on your graph. ii. Set up the integral with respect to x that is used to ﬁnd the area of the region R . DO NOT EVALUATE! (c) ( 10 points ) i. Draw a typical approximating rectangle when integrating with respect to y and lable Δ y on your graph. ii. Set up the integral with respect to y that is used to ﬁnd the area of the region R . DO NOT EVALUATE!...
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 Spring '08
 Bliss

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