Question

Set up, but **do not solve**, a word problem with
**real-world** context that can be modelled using a
linear system of equations. Then answer the following:

1. What would it mean in the context of your problem if the linear system is dependent?

2. What would it mean in the context of your problem if the linear system is inconsistent?

Answer #1

Complete the following steps: Create a system of linear
equations that is consistent.
graph your system of linear equations.
Determine the number of solutions of your system.
Create a system of linear equations that is inconsistent.
graph your inconsistent system of linear equations.
Create a system of linear equations that is dependent.
graph your dependent system of linear equations
. Part II: Based on your work in Part I, discuss the following:
Discuss how you can verify that the system...

Solve the following system of linear equations using the
techniques discussed in this section. (If the system is dependent
assign the free variable the parameter t. If the system is
inconsistent, enter INCONSISTENT.)
x1 −
x3
=
−4
2x2 −
x4
=
0
x1 − 2x2
+ x3
=
0
−x3 +
x4
=
2
(x1, x2,
x3,
x4)

3) What limitations are there to using linear equations in the
real world?
4) Do you use linear equations at home or at your job? If yes,
please give one or two examples.

Solve the following word problem by setting up a system of three
equations in three unknowns. -- At the school bookstore, they sell
all kinds of candy. Ned, the checkout boy counts a total of 76
coins in dimes, quarters, and dollar coins. The coins come to a
dollar amount of $30.55. There are thrice (3 times) as many
quarters as dollar coins. Find the total number of dimes(d),
quarters(q), and dollar coins(c).

Set up each problem to be solve using both disk/washer and shell
method. Identify which is easier to solve by hand and why.
1) y = x^2 , x = 1, y = 0, x = 0, about x = -1
2) y = x^2 + 1, x = y – 3, about y = -1

For this problem, you need to make up your own problem relating
to angular momentum (you can use whichever form/definition of
angular momentum you like). The problem should describe a
real-world situation (in class, we did the problem of an instructor
holding a couple of weights and spinning around on a stool, for
example). Solve your problem, providing a numerical answer.
(note: sorry for asking to make up a question, I hardly
understand angular momentum as is and do not...

Describe in your own words how do you solve the set of linear
equations given below using Matlab and
Excel (procedures). Calculate X,
Y and Z using one of the methods.
4X-7Y+8Z = 3
3X+5Y-6Z = 5
5X-9Y+2Z = 8

Set up a composition of two functions to solve the following
problem. 2. Courtney works at the local shoe store and receives
$150 a week plus 3% of all sales over $1000. This week her sales
were $3200. Find her commission using composition of two functions;
then find her total earnings for the week. f (x) = g (x) = Will you
use f(g(x)) or g(f(x)) to solve for the commission? Solve for the
commission using the composition of two...

Pose a problem situation of real life, where you need mechanical
physics to solve it.
The problem posed must contain the following topics, without
being limited to this list:
1. Conservation of Mechanical Energy.
2. Conservation of the linear or two-dimensional moment.
3. Conservation of the angular Moment.
I want this exercise with a bullet in a pendulum problem.
?Please make the best you can, well detailed and
explainedand.
Take your time, a day if necessary, it's for the University....

Set up the system of equations and then solve it by using an
inverse matrix.
A manufacturer of table saws has three models (Deluxe, Premium, and
Ultimate) that must be painted, assembled, and packaged for
shipping. The table gives the number of hours required for each of
these operations for each type of table saw.
Deluxe
Premium
Ultimate
Painting
1.6
2
2.4
Assembly
2
3
4
Packaging
0.5
0.5
1
(a) If the manufacturer has 96 hours available per day...

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