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The Cartesian y value is y = r sin f sin q = 31/2 sin (p /4) sin (3p /4) = 31/2 21/2/2 21/2/2 = 31/2/2 The Cartesian z value is z = r cos f = 31/2 cos (p /4) = 31/2 21/2/2 = 61/2/2 Our Cartesian ordered triple is therefore P = (x,y,z) = ( 31/2/2,31/2/2,61/2/2) Now let s convert these coordinates to their cylindrical counterparts We have x = 31/2/2 and y = 31/2/2 To find the cylindrical direction angle q, we use the formula q = p + Arctan ( y /x) because x < 0 and y > 0 When we plug in the values for x and y, we get q = p + Arctan [(31/2/2) / ( 31/2/2)] = p + Arctan ( 1) = p + ( p /4) = 3p /4 This is the same as the horizontal direction angle in the original set of spherical coordinates, as we should expect (If things hadn t come out that way, we d have made a mistake!) When we input the values for x and y to the formula for the cylindrical radius r, we get r = [( 31/2/2)2 + (31/2/2)2]1/2 = (3/4 + 3/4)1/2 = (6/4)1/2 = 61/2/2 We calculated that z = 61/2/2, so the cylindrical height h is h = z = 61/2/2 We ve found that the cylindrical equivalent point is (q,r,h) = (3p /4,61/2/2,61/2/2)

A commercial estimating tool can be used for estimating using industry data or your organization s experience or knowledge database Be aware that you need to know the basics of software project estimating and how your organization supports estimation before shopping for an estimating tool

(instead of typing the table and column names, it s much easier to type the letter o after the equal sign (=), and use the arrow keys to highlight, then press tab):

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This is an open-book quiz You may (and should) refer to the text as you solve these problems Don t hurry! You ll find worked-out answers in App A The solutions in the appendix may not represent the only way a problem can be figured out If you think you can solve a particular problem in a quicker or better way than you see there, by all means try it! 1 Describe the graphs of the following equations in cylindrical coordinates What would they look like in Cartesian xyz space q=0 r=0 h=0 2 Plot the point (q,r,h) = (3p /4,6,8) in the cylindrical coordinate system 3 Consider the point (q,r,h) = (p /4,0,1) in cylindrical coordinates Find the equivalent of this point in Cartesian xyz space 4 Consider the point ( 4,1,0) in xyz space Find the equivalent of this point in cylindrical three-space First, find the exact coordinates Then, using a calculator, approximate the irrational coordinates to four decimal places 5 In the chapter text, we used the conversion formulas to find that the cylindrical equivalent of (x,y,z) = (1,1,1) is (q,r,h) = (p /4,21/2,1) Convert these coordinates back to Cartesian xyz coordinates to verify that the result we got was correct and unambiguous 6 Describe the graphs of the following equations in spherical coordinates What would they look like in Cartesian xyz space q=0 f=0 r=0 7 Plot the point (q,f,r) = (3p /4,p /4,8) in the spherical coordinate system 8 Consider the point (q,f,r) = (p /4,0,1) in spherical coordinates Find the equivalent of this point in Cartesian xyz space 9 Consider the point ( 4,1,0) in xyz space Find the equivalent of this point in spherical three-space First, find the exact coordinates Then, using a calculator, approximate the irrational coordinates to four decimal places 10 Work the final challenge backward to verify that we did our calculations correctly Consider the point P in cylindrical three-space given by P = (q,r,h) = [3p /4,61/2/2,61/2/2] Find the coordinates of P in Cartesian coordinates, and from there, convert to spherical coordinates.

='Order Details'[Quantity] * 'Order Details'[UnitPrice]

to calculate the estimates for project work effort (PWECE) and duration (PDCE) She obtains the following results:

This is not a test! It s a review of important general concepts you learned in the previous nine chapters Read it through slowly and let it sink in If you re confused about anything here, or about anything in the section you ve just finished, go back and study that material some more

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The formula appears in the formula bar as you start to type When you are nished, press enter and you have a new column of data the column is probably now entitled CalculatedColumn1 The table name is not absolutely necessary, provided you are using columns from the same table The following syntax is a shorter alternative in this case, type the letter q after the equal sign (=):

Question 1-1

= mean of optimistic/likely/ conservative project delivery rates = 73 hours per function point = 87 hours per function point = 148 hours per function point = PDRCE I Size = 3,954 hours = 4,721 hours = 7,989 hours = mean of optimistic/likely/ conservative speeds of delivery = 972 function points per month = 691 function points per month = 574 function points per month = Size / SDCE i = 56 months = 78 months = 94 months

Answer 1-1

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