Step 1 Item:

Step 2 Item:

0 i x sub i f( x sub i) c sub i f( c sub 2 b= 10 0 1 W n= 5 0.25 H n W AN 4 AX = N 2 5 0.75 H 7 1.25 IN A 9 1.75 IN 5 10 11 2.25 W W 2.75 3.25 A 10 3.75 A 11 4.25 12 4.75 UT 13 5.25 14 5.75 15 6.25 16 6.75 17 7.25 00 18 7.75 19 8.25 20 8.75 21 9.25 22 9.75 23 24 25 26 Area using left end points = O 27 28 Area using right endpoints = 70 291 0i x sub i f( x sub i) c sub i f( c sub i) 2 b = 10 O 0 3 n= 20 0.5 1.5 0.25 1.25 4 AX = 0.5 2 0.75 1.75 5 O 2.5 1.25 2.25 6 3 1.75 2.75 2.5 3.5 2.25 3.25 w 4 2.75 3.75 3.5 4.5 3.25 4.25 10 5 3.75 4.75 11 4.5 5.5 4.25 5.25 12 10 5 6 4.75 5.75 13 11 5.5 6.5 5.25 6.25 14 12 6 7 5.75 6.75 15 13 6.5 7.5 6.25 7.25 16 14 7 8 6.75 7.75 17 15 7.5 8.5 7.25 8.25 18 16 8 9 7.75 8.75 19 17 8.5 9.5 8.25 9.25 20 18 9 10 8.75 9.75 21 19 9.5 10.5 9.25 8.25 22 20 10 11 9.75 8.75 23 24 25 26 Area using left end points = 57.5 27 28 Area using right endpoints = 62.5 29 30 31 Area using midpoints 60 32Part A Your supervisor has finally given you the equation! It's y = 1 4 - Use your spreadsheet software and copy and paste the entire worksheet you previously completed. (Make sure you keep a copy of the items completed in Steps 1 and 2). Using the new copy, complete the following: 1. Use spreadsheet software and your previous setup to estimate the area below the curve for the equation y = ]: + ; between 1 and 11 using the following criteria: Left endpoints, n = 5 . Right endpoints, n = 5 . Left endpoints, n = 20 . Right endpoints, n = 20 . Midpoint, n = 20 2. Use your graphing calculator to see the graph of y = Iitg where 1 s x = 11. 2.5 2.OF 0,5 10 12 Insert a screen capture of the spreadsheet with data for the new equation. B I U X X2 15px Characters used: 0 / 15000 Part B Is this function increasing or decreasing? Based on this answer, can you determine whether there will be an underestimate or overestimate using the left endpoint? BI UXX2 15px VAABE GEBEBVB Characters used: 0 / 15000Part C Evaluatedx . How does the value of the integral compare to your estimates? Explain. BIUXX , 15px v V Characters used: 0 / 15000 Part D If x is measured in yards and your boss wants a 2" thickness of mulch, how many cubic yards should he order? BIUXX , 15px AVA v Characters used: 0 / 15000