Search & Filtering
• Do the calculations on Matlab, print it out and then write your answers on the attached answer
sheet.
• Attach your Matlab printout to your answer sheet before you hand in.
1. Find all solutions for each of the following systems of equations (if the system is consistent):
(a) 6.5x − 2y = 7 (b) 3.5x1 + 4.5x2 + 5.5x3 = 11
2x − 0.75y = 1.75 x1 + 4x2 − 7x3 = −16
12x − y = 21 0.5x1 − 0.75x2 + 0.75x3 = 3.5
(c) − 0.75x1 + 0.75x2 = −6 (d) 3.4x1 + 3.4x2 − 15.3x3 = −20.4
2.5x1 + 2x2 − 4.5x3 = 2 0.5x1 + 0.25x2 − 0.75x3 = 1
1.25x1 + 1.25x2 − 2.5x3 = 0 0.75x1 + 0.5x2 − 1.5x3 = 1
Please note: You should use Matlab to write your systems in reduced row echelon form, but have to
interpret the results and give the solution(s) if the system is consistent.
What would you teach learners to enable them to become effective group members.
if the base X of the right triangle shown is increasing at the rate of 3 inches per second and the height Y is decreasing at the rate of 2 inches per second, find the rate of change of the area of the triangle when X = 5 inches and Y = 7 inches. Label the units on your answer
Determine the force in each member of the loaded truss. All triangles are isosceles.
A customer asks for a block of 64 addresses from ISP. If ISP designs the address in classless address scheme, what range of address can be provided to the customer in the block 185.10.X.X/16
8. Use the half-reaction method to balance the following equation and then identify the oxidizing and reducing agents:
Fe(OH)2 (s) + Pb(OH)3 -(aq) → Fe(OH)3 (s) + Pb(s) [basic]
The Gaussian distribution also known as the Normal distribution, is given by the following
equation:
𝑦(𝑥) = 𝑒𝑥𝑝 −(𝑥−𝜇)^2/2𝜎^2
where parameter 𝝁 is the mean and 𝝈 the standard deviation.
(i) Write a MATLAB code to create a 1000 point Gaussian distribution of random numbers
having 𝜇 = 0 and 𝜎 = 1. (20)
(ii) Plot this distribution. (10)
(iii) Prove that the full width–half maximum (FWHM), of the above distribution is given by :
FWHM = 2𝜎√2ln 2 (10)
- You are asked to advice government on a policy consideration. The policy being considered is in effect looking to ban the importation of chicken into the country.
Present a paper on your advice on this policy action.
Your paper should reflect:
- Intended and untended consequences of this policy action
- Necessary integrations in other sectors necessary for this policy implementation
- Short run and long run impact on economic growth, unemployment, inflation and BOP
The Gaussian distribution also known as the Normal distribution, is given by the following
equation:
𝑦(𝑥) = 𝑒𝑥𝑝 −(𝑥−𝜇)^2/2𝜎^2
where parameter 𝝁 is the mean and 𝝈 the standard deviation.
(i) Write a MATLAB code to create a 1000 point Gaussian distribution of random numbers
having 𝜇 = 0 and 𝜎 = 1. (20)
(ii) Plot this distribution. (10)
How is the short run difined in production theory and how does it differ from the long run?
