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2.70 Define a function that represents the distance between the points (x1, y1) and (x2, y2) and use it to compute the distance from (2, 3) to (8, 11).

d[x1_, y1_, x2_, y2_]= (x2 x1)2 + (y2 y1)2 ; d[2, 3, 8, 11] 10

10. When you are done, tap Save. You should be brought back to the Settings screen and see your MobileMe account listed with the selected items turned ON for syncing.

2.71 The area enclosed by a triangle whose sides have length a, b, and c is given by Heron s formula:

K = s(s a)(s b)(s c) b where s = a + 2 + c . Express the area of a triangle as a function of a, b, and c and compute the area of the triangle whose sides are (a) 3, 4, 5 and (b) 5, 9, 12

The essential functions in this diagram are file manipulation (create, save, and open). Insert and modify are intended as higher-level phrases covering the typical text-editing functions. Note that some capabilities such as search, copy, and move may be neglected, since they are not mentioned explicitly.

Using MobileMe is fairly seamless once you get it set up. You update contacts and calendar on your iPad and the changes just appear on your computer. And, if you ve set up other mobile devices such as an iPhone on the same account, the changes appear there, too. Everything is kept in sync wirelessly and automatically. MobileMe has a few very cool features that we highlight below.

s = a + b + c; 2 k[a_, b_, c_]= s (s a)(s b)(s c) ; k[3, 4, 5] 6 k[5, 9, 12] 4 26

If f and g are two functions with the same domain, D, we define their sum, difference, product, and quotient pointwise, that is, (f + g )(x) = f(x) + g(x) (f g )(x) = f(x) g(x) (fg)(x) = f(x) g(x) (f/g)(x) = f(x)/g(x) for all x in D for all x in D for all x in D for all x in D for which g(x) 0

If x is a number in the domain of g such that g(x) is in the domain of f, we define the composite function fog: (f o g)(x) = f(g(x) ) The function g o f can be defined in a similar manner. The following example illustrates how to construct these functions.

From any web browser, you can locate your iPad using the Find My iPhone feature in MobileMe. You can send a message and play a loud sound to alert someone on your iPad, even if it is locked. You can remotely lock your iPad using a 4-digit code and remotely erase all information on your iPad. 1. Login to MobileMe from any web browser on your computer by going to www.me.com. Type your username and password and click Log In.

A scenario is a sequence of actions that accomplishes a user task. Alternative sequences are only shown by having a separate scenario for each alternative. Scenarios are used to illustrate an important capability or proposed use of the system. In UML, an interaction diagram (see 2) is used to specify the scenarios. Scenarios can also be speci ed by listing the sequence of actions.

f[x_]=

g[x_]= x + 2 x + 3; h1[x_]= f[x]+ g[x] 3+ x + 2 x + x2 h2[x_]= f[x] g[x] -3 + x - 2 x - x2 h3[x_]= f[x]g[x] x (3 + 2 x + x2)

Click the Display a Message button to display a message on your iPad and play a loud sound for up to 2 minutes or until the screen is tapped.

The composition of two or more functions can be accomplished with the Composition command. Note that Composition is a functional operation and as such, its arguments are functions, f, not f[x].