2 Solving a problem This chapter presents a mathematical problem with its solution. The discussion of the problem and its solution introduces you to key features of the Maple program. Do not worry too much about the mathematics. The purpose of this problem is to show you Maple; the mathematics is secondary Note: When entering Maple commands, please keep in mind that they are case- 2.1 Scenario A skier has made her way to the top of a mountain. She wants to take the steepest path down, which she can find by performing the calculations outlined in this chapter. Start by opening a new worksheet for this problem. To open a new worksheet he file menu. choose new 2.2 Commands in Packages Some of the commands used in the discussion are found in packages. A package is a group of routines related to a particular area of mathematics. You can always access commands in packages by using the long form, that is specifying both package and function name: package[ function].), but to be able to use the short form, that is, specify only the function name, use the with command first.9 2 Solving a Problem Chapter 2: Solving a Problem This chapter presents a mathematical problem with its solution. The discussion of the problem and its solution introduces you to key features of the Maple program. Do not worry too much about the mathematics. The purpose of this problem is to show you Maple; the mathematics is secondary. Note: When entering Maple commands, please keep in mind that they are case￾sensitive. 2.1 Scenario A skier has made her way to the top of a mountain. She wants to take the steepest path down, which she can find by performing the calculations outlined in this chapter. Start by opening a new worksheet for this problem. To open a new worksheet: • From the File menu, choose New. 2.2 Commands in Packages Some of the commands used in the discussion are found in packages. A package is a group of routines related to a particular area of mathematics. You can always access commands in packages by using the long form, that is, specifying both package and function name:  !" # , but to be able to use the short form, that is, specify only the function name, use the   command first.