Midpoint Sums CBD

# Midpoint Sums CBD - MIDPOINT SUMS FOR THE GRAPH OF A FUNCTION 1 Set Excel for Automatic Calculation 2 Enter a formula in terms of the letter x for

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Definition Computation Plot Interval x a b = = Intervals Midpoint Sum n 6 0.00000 0.00000 Constants s t u v w Formula for f ( x ) f ( x ) Number of subintervals ( n) : x MIDPOINT SUMS FOR THE GRAPH OF A FUNCTION 1. Set Excel for Automatic Calculation . 2. Enter a formula, in terms of the letter x , for = f ( x ) in Cell C18 . Constants s , t , u , w may be used; if values are entered in Cells L23:L27 . (The value of f (0) will appear in Ce C18 .) 3. Click on the Sum button located in Cell I21 . This runs the macro, Sum . 4. Cell F18 will display the value of f ( x ) for any number x that is entered in Cell E1 5. Enter values for a and b , to see the graph of f ( x ) over the interval [ a , b ]. Constant t , u , v , or w may be used; if values are entered in Cells K25:K29 . If these constant names used, they must be entered in Cells H18:I18 preceded with "=" signs. For example, =s. 6. Move the Number of subintervals slider to set a value for n in Cell C22 . Clickin an arrow at the end of the scroll bar increases or decreases n by 1. Clicking in the scroll ba increases or decreased n by 10. The width, x , of each subinterval and the midpoint sum w be calculated and displayed. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 f(x)

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v , or ell 18 . ts s , are ng on ar will Calculus for Bus Release 2 Published and The Mathematical As © 2010 by The Arizona The University of A reser

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siness Decisions 2.1, 2010 Distributed by ssociation of America a Board of Regents for Arizona. All rights rved.

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## This note was uploaded on 10/27/2010 for the course ECE 220 taught by Professor Strickland during the Spring '08 term at University of Arizona- Tucson.

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Midpoint Sums CBD - MIDPOINT SUMS FOR THE GRAPH OF A FUNCTION 1 Set Excel for Automatic Calculation 2 Enter a formula in terms of the letter x for

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