Assignment12-2010

# Assignment12-2010 - ChE 263 Assignment #12 (VBA HW#7) 1....

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Assignment #12 (VBA HW#7) 1. (Competency 5.4, 6.2 50 points) In Math 113, you learned that the integral of an expression is equal to the area under the curve and can often be calculated analytically. Frequently in chemical engineering, we need to integrate a set of measured data and no expression for the “curve” is known (i.e. we only have pairs of data points and not an expression). One method to integrate a set of data numerically is known as the trapezoidal rule. This method approximates the area under the “curve” by calculating the area of several trapezoids that “fit” the curve. The idea is depicted in the figure below. The area of one trapezoid is given by  2 1 1 i i i i i y y x x A . For example, 2 ) ( 2 1 1 2 1 y y x x A . Since the integral is the area under the curve, the summation of the areas of each of the trapezoids gives an approximation to the integral, I , of the data. Mathematically, this can be written as

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## This note was uploaded on 03/08/2012 for the course CHEM 263 taught by Professor Bradbundy during the Fall '11 term at BYU.

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Assignment12-2010 - ChE 263 Assignment #12 (VBA HW#7) 1....

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