10. Chapter 2: Solving a Problem To access commands in the plots package At the prompt, enter the following and press ENTER. After executing the command, Maple lists any warnings, followed by all of the commands that are included in the package. For the plots package, a warning indicates that the name of one of the commands in the package changecoords, is the same as a global name that is already defined. After executing the wi th command, the original meaning of the command is not available until you restart Maple or other methods of accessing commands in packages, refer to Section 3.7, The Organization of Maple, "in the Maple Learning Guide. For a list of all the packages in Maple, refer to index, packages(Index of descriptions for packages of library functions) 2.3 Math and visualization Use some mathematical and visualization commands to determine basic properties of the hill. If you want more information on any of the commands used here, enter a question mark, followed by the name of the command. For example, to find help on the exponential command, enter expThe ntial Function) Suppose that the height at a point(x, y)of the hill is given by f, in thousands of feet (1+x2+y241+(x+1)2+x+2) To enter the expression in Maple At the prompt, enter the following and press ENTER f:=3/(1+x^2+y^2)/(1/4+1/2*(x+1)^2+1/2*(y+2)^2 The expression for the shape of the hill is assigned to the f by means of the assignment operator":="so that it can be referred to calculations. For more information about assignments, refer to =(The10 • Chapter 2: Solving a Problem To access commands in the package: • At the prompt, enter the following and press ENTER. $ After executing the command, Maple lists any warnings, followed by all of the commands that are included in the package. For the package, a warning indicates that the name of one of the commands in the package, is the same as a global name that is already defined. After executing the command, the original meaning of the command is not available until you restart Maple. For other methods of accessing commands in packages, refer to Section 3.7, “The Organization of Maple,” in the Maple Learning Guide. For a list of all the packages in Maple, refer to (Index of descriptions for packages of library functions). 2.3 Math and Visualization Use some mathematical and visualization commands to determine basic properties of the hill. If you want more information on any of the commands used here, enter a question mark, followed by the name of the command. For example, to find help on the exponential command, enter (The Expontential Function). Suppose that the height at a point % of the hill is given by ", in thousands of feet. To enter the expression in Maple: • At the prompt, enter the following and press ENTER: "&'()*+,*%+,)-*),.*)+,*),.%*,+,$ The expression for the shape of the hill is assigned to the name " by means of the assignment operator “:=” so that it can be referred to in subsequent calculations. For more information about assignments, refer to &' (The f 3 1 x2 y2 ( ) + + 1 4 -- ( ) x + 1 2 2 ------------------- ( ) y + 2 2 2 + + ------------------- = ---------------------------------------------------------------------------------------------