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Of course, f may be a function of more than two variables and the independent variable, listed as x in the above description, can be any of the variables defining f. f df but Dt[f[x, y], x] returns . D[f[x, y], x] returns dx x

The task of software cost estimation is to determine how many resources are needed to complete the project. Usually this estimate is in programmer-months (PM). There are two very di erent approaches to cost estimation. The older approach is called LOC estimation, since it is based on initially estimating the number of lines of code that will need to be developed for the project. The newer approach is based on counting function points in the project description.

Calculus equivalent f[x_, y_] = x y ; D[f[x, y], x] 2 x y3 D[f[x, y], y] 3 x2 y2 Dt[f[x, y]] 2 x y3 Dt[x] + 3 x2 y2 Dt[y] Dt[f[x, y], x] 2 x y3 + 3 x2 y2 Dt[y, x] Dt[f[x, y], y] 3 x2 y2 + 2 x y3 Dt[x, y] df = 3x 2 y 2 + 2 xy3 dx dy dy df dy = 2 xy3 + 3 x 2 y 2 dx dx df = 2 xy3dx + 3 x 2 y 2 dy f = 3x 2 y 2 y f = 2 xy3 x

If you hold your finger on the alphabet on the left edge of the screen and drag it up or down, you can jump to that letter.

In some expressions, constants represented by letters might cause confusion. The option Constants can be used to instruct Mathematica to treat a particular symbol as a constant.

10.12 Let z = sin xy. Let x = 1, y = 2, dx = x = 0.03, dy = y = 0.02. Compute dz and compare it with the value of z.

z = f[x_, y_] = Sin[x y]; Dz = f[x + D x, y + D y] f[x, y]; Dt[z] /. {x 1, y 2, Dt[x] 0.03, Dt[y] 0.02} 0.0332917 z /. {x 1, y 2, x 0.03, y 0.02} 0.0364571

If you don t want to manually input letters, you can just move your finger and flick from the bottom up and you ll see your Contacts move quickly on the screen. Just continue to flick or scroll until you see the name you want. Tap the name and the contact information will appear.

ESTIMATION OF LINES OF CODE (LOC)

10.13 Use differentials to approximate e0 .1 4.01 and determine the percentage error of the estimate.

We take advantage of the fact that 0.1 is near 0 and 4.01 is near 4. f[x_, y_] = Exp[x] Sqrt[y]; approximation = f[0, 4] + Dt[f[x, y]] /. {x 0, y 4, Dt[x] 0.1, Dt[y] 0.01} 2.2025 exactvalue = f[0.1, 4.01] 2.2131 percenterror = Abs[approximation exactvalue]/exactvalue * 100; Print["The error is ", percenterror, "%"] The error is 0.479103 %

If you have your contacts sorted by groups on your PC or Mac and you sync your iPad with the computer, those groups will be synced to your iPad. Just touch the Groups tab at the top left of the All Contacts window and select which group you d like to search within. This example shows two groups one is from a Microsoft Exchange account (i.e., a company email account), and one from regular contacts. If you have an Exchange ActiveSync account and your company has enabled it, your Exchange Global Address List shows up here, under Groups, as well. You can search to find anyone in your company there. NOTE: You can t create groups on the iPad, they must be created on your computer and synced to your iPad.

10.14 Use differentials to approximate the amount of metal in a tin can with height 30 cm and radius 10 cm if the thickness of the metal in the wall of the cylinder is 0.05 cm and the top and bottom are each 0.03 cm thick.

The rst step in LOC-based estimation is to estimate the number of lines of code in the nished project. This can be done based on experience, size of previous pro-