maple lab 3 project remember to submit a detailed lab report including

Question

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.