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Find the solution(s) to the following system of linear equations: -3r + 2y + 2z = 5, - 3, —х — 4у + 4z = -2. 2х + 4y

Find the solution(s) to the following system of linear equations: -3r + 2y + 2z = 5, - 3, —х — 4у + 4z = -2. 2х + 4y

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...
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12. (a) Find the solution(s) to the following system of linear equations: -3.r + 2y + 2z = 5, 4y + 4z = 3, -x - 2x + 4y = -2. (b) Let R be the region in the positive quadrant bounded by the straight lines 4.x, and by the hyperbolas xy = 1 and xy = 3. = 2x and (i) Sketch the region R (ii) Define parameters u = in the (u, v)-plane, corresponding to the region R in the (x, y)-plane. y/x and v = xy. Determine and sketch the region S (iii) Hence, using the given change of variables, evaluate the double integral TxY sin )dA. I = x2
Transcribed Image Text:12. (a) Find the solution(s) to the following system of linear equations: -3.r + 2y + 2z = 5, 4y + 4z = 3, -x - 2x + 4y = -2. (b) Let R be the region in the positive quadrant bounded by the straight lines 4.x, and by the hyperbolas xy = 1 and xy = 3. = 2x and (i) Sketch the region R (ii) Define parameters u = in the (u, v)-plane, corresponding to the region R in the (x, y)-plane. y/x and v = xy. Determine and sketch the region S (iii) Hence, using the given change of variables, evaluate the double integral TxY sin )dA. I = x2
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Please could you show how to do part b) aswell please?

 

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Could you answer part b) for me please?

12. (a) Find the solution(s) to the following system of linear equations: -3.r + 2y + 2z = 5, 4y + 4z = 3, -x - 2x + 4y = -2. (b) Let R be the region in the positive quadrant bounded by the straight lines 4.x, and by the hyperbolas xy = 1 and xy = 3. = 2x and (i) Sketch the region R (ii) Define parameters u = in the (u, v)-plane, corresponding to the region R in the (x, y)-plane. y/x and v = xy. Determine and sketch the region S (iii) Hence, using the given change of variables, evaluate the double integral TxY sin )dA. I = x2
Transcribed Image Text:12. (a) Find the solution(s) to the following system of linear equations: -3.r + 2y + 2z = 5, 4y + 4z = 3, -x - 2x + 4y = -2. (b) Let R be the region in the positive quadrant bounded by the straight lines 4.x, and by the hyperbolas xy = 1 and xy = 3. = 2x and (i) Sketch the region R (ii) Define parameters u = in the (u, v)-plane, corresponding to the region R in the (x, y)-plane. y/x and v = xy. Determine and sketch the region S (iii) Hence, using the given change of variables, evaluate the double integral TxY sin )dA. I = x2
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