Maple Lab #3: Project

Remember to submit a detailed lab report including an introductory description

on the lab's main goals and concepts. Include also a list of the main commands

you learned and what they're used for, as well as the correct syntax. Make sure

each exercise should be well explained by paragraphs. Remember to use restart

before each problem to make sure your variables were not previously assigned.

2

1. Enter the functions f(x, y) = √ (x − 2)² + y² + √(x + 2)² + y² and

g(x, y)=√(x-2)

compute C =

dg

əx

2

2

2)²

+ y² -√(x + 2)² + y as expressions. Then

a²g

and L

af

ду

2

+

𐐀х

og evaluated at (a,b).

მ

2

dy

2. Plot the graph and the contour plot of the function

2

f(x, y) = y +√√√x² + (y-2)². Discuss the shape of the contours and any

local minima and maxima of the function. Notice that f is the sum of the

distances from (x, y) to the point (0, 2) and the line y = 0.