Applications of area under the curve: Purpose: In class we integrate and work with equations. When you move into your ca

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Applications Of Area Under The Curve Purpose In Class We Integrate And Work With Equations When You Move Into Your Ca 1 (57.09 KiB) Viewed 25 times

Applications Of Area Under The Curve Purpose In Class We Integrate And Work With Equations When You Move Into Your Ca 2 (22.46 KiB) Viewed 25 times

Applications of area under the curve: Purpose: In class we integrate and work with equations. When you move into your career usually, you are dealing with raw data so this project is to determine the results by working with raw data. Steps: 1) Choose one of the following options or for extra credit find a table of data you are interested in. You need to make sure the data is a rate or marginal so that the area under the curve or volume makes sense. 2) Transfer the data into an Excel File 3) Put your name in cell A1 4) Follow the directions listed for the two options. Use a textbox on your Excel sheet for the discussion a Option A for Business Majors: The table below shows the marginal cost for a company's product at various production levels. a Units Marginal Cost (S/unit) Units Marginal Cost ($/unit) 0 3.22 7000 2.14 1000 2.89 8000 2.13 2000 2.76 9000 2.15 3000 2.71 10,000 2.19 4000 2.55 11,000 2.33 5000 2.40 12,000 2.61 6000 2.26 13,000 2.83 1) Remember marginal cost is the change in cost per item. It is also the derivative of the total cost. Estimate the cost (not including fix cost) to produce the first 12,000 batches of 2000 units using the initial marginal cost for each batch. 2) Graph the data in Excel, and then use a curve fit to find an equation approximating the data.
Option B for Life Science Majors: A sample plot of grassland is surveyed for a particular species of insect. Week 0 2 5 9 10 12 Population 403 255 176 230 478 504 398 1 1) Estimate the average number of insects for the first 12 weeks using 2 week intervals. 2) Graph the data in Excel and use a curve fit to fit the data points. Then take the integral of your cur fit line to find the average population.