I need someone do it by Maple Due Sunday December 11 2016 MA

I need someone do it by Maple

Due Sunday, December 11 2016 MATH 2720 Maple assignment You are supposed to work on your project alone. The purpose of the project is for you to acquire proficiency with Maple commands, online help system, and other features of the system. Prepare a Maple worksheet with your solutions and email it to me at patrick bennettownich.edu with the subject \"Maple assignment #1\" Problem 1 Let q(r, y) Hr2 -4ry 3y2 (a) Plot a(r,y) and plane z -0 on the same graph. (b) Use the graph to identify whether a(z, y) is positive definite, negative definite, or none. (c) Confirm your guess by using the Sylvester theorem. Problem 2 Plot the vector field f(z,y, z) (y/z. /2, 2/2) Problem 3. Let 1 2 2 2 2 2 1 2 0 0 0 0 1 0 3 0 0 0 1 0 0 4 0 0 1 0 0 0 50 1 0 0 0 0 6 (a) Compute (AT)-1(A2) (b) Compute det (A-1) det (A). Problem 4. Use the graph to guess l 0,0 (r2 y2) w Problem 5. Find the Jacobian of f(r, y, z) (z sin ryz) 3) at point (1,2,3)

Solution

Problem 3:
A= 1 2 2 2 2 2
1 2 0 0 0 0
1 0 3 0 0 0
1 0 0 4 0 0
1 0 0 0 5 0
1 0 0 0 0 6

AT=1 1 1 1 1 1
2 2 0 0 0 0
2 0 3 0 0 0
2 0 0 4 0 0
2 0 0 0 5 0
2 0 0 0 0 6

(A^T)^-1=-73099e-04

A*A=11 6 8 10 12 14
3 6 2 2 2 2
4 2 11 2 2 2
5 2 2 18 2 2
6 2 2 2 27 2
7 2 2 2 2 38

(A²)^T=11 3 4 5 6 7
6 6 2 2 2 2
8 2 11 2 2 2
10 2 2 18 2 2
12 2 2 2 27 2
14 2 2 2 2 38

B)det(A)=-1368
det(A)^-1=-73099e-04

Problem 5:

jacobian([sin(x*y*z), y^2+x^2+y^2+e^xz], [x, y, z])

ans =

[ y*z*cos(x*y*z), x*z*cos(x*y*z), x*y*cos(x*y*z)]
[ 2*x, 4*y, 0]

ans=104

Problem 7:

ans=243