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Project 1 Lecture Notes

Project 1 Lecture Notes. Table of Contents. Graphing Functions & Trend Lines Demand, Revenue, Cost, and Profit Differentiation Integration Using Solver. Assignment. Read course PowerPoint file: MBD 2 Proj1.pptx (Slides 1-20). Graphing Functions. 2 Methods for graphing used:

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Project 1 Lecture Notes

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  1. Project 1 Lecture Notes

  2. Table of Contents • Graphing Functions & Trend Lines • Demand, Revenue, Cost, and Profit • Differentiation • Integration • Using Solver

  3. Assignment • Read course PowerPoint file: MBD 2 Proj1.pptx (Slides 1-20)

  4. Graphing Functions • 2 Methods for graphing used: • Blank Excel file with equally spaced data points (Plotting Points) • Using Graphing.xlsm file

  5. Plotting Points • Start with blank Excel file • Generate 2 columns of data - one column of x-values - one column of function values

  6. Plotting Points • To generate the x-values (in a column) - Given the interval required - Given the number of points required

  7. Plotting Points • To generate the x-values - Subtract one from number of points needed - Divide interval length by this number - This is the length of each subinterval

  8. Plotting Points • To generate the x-values - Starting with left endpoint, increase by width of subinterval - This gives x-value of next point - Continue until you reach the right endpoint

  9. Plotting Points • To generate the function values (in a column) - Type function using an “=” - Use cell references to replace x

  10. Plotting Points • Graphing the function - Use XY-scatter - Use Smoothed Lines Without Markers - Label graphs whenever appropriate

  11. Plotting Points • Special values and functions - Type PI() - e Type EXP() - Type SQRT()

  12. Plotting Points • Ex. Graph the function on the interval [0, 5] using a blank Excel file with 501 equally spaced points. • Soln:

  13. Plotting Points • Graph:

  14. Plotting Points • Piecewise-defined functions - Use IF statement =IF(statement, rule 1, rule 2) - statement is a mathematical test - use rule 1 if the statement is true - use rule 2 if the statement is false - AND function can be used within IF statement Ex. AND(0<=A1,3>=A1) tests if A1 is between 0 and 3

  15. Plotting Points • Ex. Graph the function using a blank Excel file with 401 equally spaced points.

  16. Plotting Points • Creating a “plotting points” graph in Excel • Insert, Scatter, Smooth lines • Right click on plot area • Left click on select data • Add data and format graph

  17. Plotting Points • Soln:

  18. Plotting Points • Can graph multiple functions simultaneously • Ex. Graph the functions using a blank Excel file with 701 equally spaced points.

  19. Plotting Points • Soln:

  20. Graphing.xlsm • Graphing utility to plot one function • No cell references used • Function is typed using the variable x • Can use parameters (constants) s, t, u, v, or w

  21. Graphing.xlsm

  22. Graphing.xlsm • Ex. Graph the function on the interval [0, 5] using Graphing.xlsm • Ex. Use Graphing.xlsm to graph the functions on the interval [-4, 4] using the parameter s = 2, 3, 4, and 5.

  23. Graphing.xlsm • Ex. Graph the function Using Graphing.xlsm.

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