Problem 1:

Carry out the first three iterations of the solution of the following set of equations using the Gauss Seidel iterative method.Provide the solution using a program, you are free to use any language including MATLAB.

8x₁+2x₂+3x₃ = 51

2x₁+5x₂+x₃ = 23

-3x₁+x₂+6x₃ = 20

What negative effects have resulted from the material changes? Consider the full material life cycle.

Would it actually be more sustainable from an environmental, economic, and/or social perspective to return to materials that were used in the past? Why or why not?

(Can you please not answer handwriting type it)

As a lab instructor in machining, you are required to prepare a lab module for a
laboratory session with your students. In this session, the students are required to
produce aT-Slot. Prepare the methodology to produce the T -Slot with
illustrations for the lab module.

During a drilling process, excessive drill wear and drill breakage may occur. As
an experienced machinist, you are required to investigate the probable causes
which lead to these problems and suggest on how to solve these issue.

Identify 5 benefits of using a Database management systems

You have just started work at an aircraft engineering company and have been tasked with a complex engine change on the aircraft.

What kind on negative reactions could this cause in you? And what could you do to reduce these negative reactions?

Explain different types of car suspension systems.

what is the difference between analytical solution and FEA??

The total cycle time of an automated fiber placement (AFP) operation (sheet lamination), used to manufacture a section of the airplane fuselage, is 8 hours and 40 minutes. The setup time before the start of the operation is 10 minutes. After each layer is put down, an inspection stage is performed for 5 minutes. The AFP head requires cleaning cycle of 3 minutes every 7 layers.

1. If the part is made of 20 layers, what is the time required (in minutes) to lay down 1 layer? (40 points)

2. What is the percentage of down time for this operation? (30 points)

3. What is the total cycle time (in minutes) for making this part, if the lay down speed was doubled? (30 points)

Air enters a horizontal, constant-diameter heating duct operating at steady state at 280 K, 1 bar, with a volumetric flow rate of 0.25 m³/s, and exits at 325 K, 0.95 bar. The flow area is 0.05 m².


Assuming the ideal gas model with k = 1.4 for the air, determine:

(a) the mass flow rate, in kg/s,

(b) the velocity at the inlet and exit, each in m/s, and

(c) the rate of heat transfer to the air, in kW

from QFD, what factor use to determine most important design specification?

Is it the absolute weight or relative weight? How can I list the order of importance of the design specification using data from QFD?

y'=y-x^2 ; y(1)= -4

My MATLAB program won't work. I am trying to get the main program to output a plot of the three equations (1 from the main program and two called in the function). The goal is to code a Euler method and a 2nd order Taylor numerical solution for

a. x0= 1.0 , step size h= 0.2, # of steps n=20

b. x0= 1.0 , step size h=0.05 , # of steps n=80 ; write a separate functionn for f(x,y) that is called. Plot the results on the same plot as the exact solution.

I keep getting an error of "Matrix Dimensions must agree ; error in Project_2(my function) with my Tay = ... equation (2nd order taylor equation).

Main Code

t_span = 1:0.2:5;
h=0.2;
y1 = -4;
B=(t_span.^2);
[x,y] = ode45(@(x,y) y-x^2, t_span, y1);
d=[x,y];
project_2(y1,h,d,B)

subplot(4,1,1)
plot(x,y)

xlabel('value of x')
ylabel('value of y(x)')
grid on

t_span = [1:0.05:5];
y1 = -4;
h=0.05;
[x,y]= ode45(@(x,y) y-x^2, t_span, y1);
subplot(4,1,4)
project_2(y1,h,d,B)
plot(x,y)
xlabel('value of x')
ylabel('value of y(x)')
grid on

The Function

function [outputArg,Tay] = project_2(y1,h,d,B)

outputArg = y1 + h*d; %Euler method

Tay= y1 +(h*d)+((1/2)*(h^2))*((y1-2*t_span)+(-B)*d); %2nd order Taylor

subplot(4,1,2)
plot(outputArg)

subplot(4,1,3)
plot(Tay)

end

A piston–cylinder device contains 0.85 kg of refrigerant-134a at -10°C. The piston that is free to move has a mass of 12 kg and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now, heat is transferred to refrigerant-134a until the temperature is 10°C. Determine (a) the final pressure, (b) the change in the volume of the cylinder, and (c) the change in the enthalpy of the refrigerant-134a.