25.5. Find the Laurent series for the function 1/[(2-1)(z-2)(z-3)] in the following domains: (a). 0 3.

Can you explain how the error term in the CF Algorithm relates to the (m+1)th complete quotient? Also, what would be a good way to explain the connection between these two slides? How can one transition between them for a presentation?

How can I explain the pi example in a presentation? I'm having trouble transitioning between these two slides

McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell for $895 per set and have a variable cost of $431 per set. The company has spent $200,000 for a marketing study that determined the company will sell 80,000 sets per year for seven years. The marketing study also determined that the company will lose sales of 8,600 sets per year of its high-priced clubs. The high-priced clubs sell at $1,325 and have variable costs of $645. The company will also increase sales of its cheap clubs by 10,800 sets per year. The cheap clubs sell for $340 and have variable costs of $141 per set. The fixed costs each year will be $14,350,000. The company has also spent $1,500,000 on research and development for the new clubs. The plant and equipment required will cost $43,700,000 and will be depreciated on a straight-line basis. The new clubs will also require an increase in net working capital of $3,625,000 that will be returned at the end of the project. The tax rate is 25…

Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas. Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars) are as follows. From To Hamilton Butler Clermont Southern Gas 10 20 15 Northwest Gas 12 15 18 (a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen Assignment 3 graph.docx Score: 1 out of 1 Comment: (b) Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs (in thousands of…

Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt  =  2x + 3y − 8   dy dt  =  −x − 2y + 6 X(t) =

As discussed in Section 8.3, the Markowitz model uses the variance of the portfolio as the measure of risk. However, variance includes deviations both below and above the mean return. Semivariance includes only deviations below the mean and is considered by many to be a better measure of risk. (a) Develop a model that minimizes semivariance for the Hauck Financial data given in the file HauckData with a required return of 10%. Assume that the five planning scenarios in the Hauck Financial Services model are equally likely to occur. Hint: Modify model (8.10)–(8.19). Define a variable ds for each scenario and let ds ≥ R − Rs with ds ≥ 0. Then make the objective function: Min 1 5 5 s = 1 ds2. Let FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund…

For each month of the year, Taylor collected the average high temperatures in Jackson, Mississippi. He used the data to create the histogram shown.​   ​Which set of data did he use to create the histogram?   A  55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92\ 55,\ 60,\ 64,\ 72,\ 73,\ 75,\ 77,\ 81,\ 83,\ 91,\ 91,\ 92 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92    B  55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91\ 55,\ 57,\ 60,\ 65,\ 70,\ 71,\ 78,\ 79,\ 85,\ 86,\ 88,\ 91 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91    C  55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93\ 55,\ 60,\ 63,\ 64,\ 65,\ 71,\ 83,\ 87,\ 88,\ 88,\ 89,\ 93 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93    D  55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91\ 55,\ 58,\ 60,\ 66,\ 68,\ 75,\ 77,\ 82,\ 86,\ 89,\ 91,\ 91 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91

3. Consider the polynomial equation 6-iz+7z2-iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.