Question 3 Express the following system of equations in matrix form and solve it using row operations. 3x-4y-6z=1 7x+2y+z=2 15x+y=3z = 2.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 3
Express the following system of equations in matrix form and solve it using row operations.
3x - 4y-6z=1
7x+2y+z=2
15x + y - 3z = 2.
Question 4
Determine the following integrals:
5x-3
J3x2-5-2 dx
Question 5
The function fis given by
In (4x)
dx
x3/4
S
f(x, y) = 6xy4 - 3x² - 12y² +8.
Determine the critical (or stationary) points off and determine the nature of each.
Question 6
Use the Lagrange multiplier method to find the values of x and y which maximise the function
f(x, y) = x3/41/4 subject to the constraint 3x + 2y = 64.
Transcribed Image Text:Question 3 Express the following system of equations in matrix form and solve it using row operations. 3x - 4y-6z=1 7x+2y+z=2 15x + y - 3z = 2. Question 4 Determine the following integrals: 5x-3 J3x2-5-2 dx Question 5 The function fis given by In (4x) dx x3/4 S f(x, y) = 6xy4 - 3x² - 12y² +8. Determine the critical (or stationary) points off and determine the nature of each. Question 6 Use the Lagrange multiplier method to find the values of x and y which maximise the function f(x, y) = x3/41/4 subject to the constraint 3x + 2y = 64.
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