MEM23004A Apply Technical Mathematics Indika Fernando Edwina Langford

Attach this cover sheet to each assessment task when submitted to your teacher.
Student Information
Student ID Number Contact Number
Student Name
Cluster/Unit Information
Department of Trades and Engineering Technology
National Unit Code
(s) National Unit Title(s) Teacher Name
MEM23004A Apply Technical Mathematics Indika Fernando Edwina Langford
Assessment Task Information
Title of Assessment Due Date
Assignment 2
Application for Extension (where applicable)
Extension Date for Submission Granted Until
? I have completed this assessment
? I am aware that penalties exist for plagiarism. Refer to
For electronic submissions only:
By typing your name in the student signature field, you are accepting the above declaration.
Trades and Engineering Technology
MEM23004A Apply Technical Mathematics – 2020 – Assignment 2
Assessment Topic/s Trigonometry and Sequences & series
Submission Details: Online submission via Canvas
Result Competent or Not Yet Competent
Assessment Description:
All assessment criteria listed below must be satisfactorily completed for the task to be assessed as satisfactory completed.
Additional Information:
This Assessment tasks covers following assessment criteria.
[RS1]-Solving mathematical problems using standard engineering software packages, and validating software results of simple examples analytically and/or graphically.
[RS3.2]-Graphing and analysing Trigonometry functions for solutions.
[RS4]Using the techniques of sequences and series to solve simple mathematical problems.
[RK1]software for mathematical analysis and graphical representations
[RK4] trigonometric equations
[RK5] sequences and series
Student Instructions
• This is a Competency based Assessment
• Read all the Instruction before attempting the assessment.
• Write your name and ID in the space provided in cover sheet, then signed and dated.
• Answer all the questions.
• Students are allowed to use class notes, scientific calculator, Microsoft Excel package, online mathematic software tools (eg. , • Students must show all the working out for each question.
• Refer class notes and Activity sheets for theories and examples.
• Give the answer correct to two decimal places unless otherwise specified • Ensure that you submit assessments on or before the due date.
• Always retain a copy of your assessment tasks. (hard copy and soft copy)
• If you are found to be unsuccessful in particular question/s in the assignment you will be allowed resubmission. Your teacher will provide feedback regarding what you need to do to improve and will set a new deadline for the resubmission.
• Working outs on online calculators and Excel graphs must be save and email to your teacher.
• Teacher’s email address: Indika-, Edwina –
Learning Outcome:
• [E1] Determine scope of technical mathematical techniques required for an engineering application
• [E2] Apply technical mathematical techniques to engineering applications
Results and Feedback
Assignment Results (First submission/ Re submission
• Competent
• Not Yet Competent – Re submission required
Feedback to students will be provided via Canvas feedback Rubric
Trigonometry Function
1) Following Sine wave graph demonstrates the Input voltage across a power line. Estimate the amplitude, period, frequency and phase shift (horizontal translation).
Amplitude Period Frequency Phase shift
2) Use the graphs of ?? = ???????? ?????? ?? = ???????? shown below to answer the following questions.
Find from the graphs, two approximate values of ?? between 0 ° ?????? 360° for which; a) sin ?? = 0.5
b) cos ?? = 0.4
c) sin ?? = -0.8
d) sin ?? = ????????
3) Solve following Trigonometry equations for 0 = ? = 3600 using an online calculator. (Take screenshots of your calculations and save and email to your teacher).
a) sin(2??) = 0.5
b) sin(??) = -0.8
4) Compare the results in question 2 and 3 of sin(??) = -0.8 .
5) In an AC circuit with only a constant inductance, the voltage at time ?? (in seconds) is given by
?? = 10 sin(2????) Where 0 = ?? = 2
a) Determine the amplitude, period, Angular velocity and frequency of the function.
b) Calculate the voltage after 1.2 seconds.
c) Plot ?? as a function of ?? for 0 = ?? = 2 ,in the interval of 0.1.
(use Microsoft Excel or symbolab graphing calculator)
d) Use the graph to estimate the voltage after 1.2 seconds and compare with answer in part (b).
e) At what times is the voltage = 5V ? (use symbolab calculator) (give the answer in between 0 and 2 sec) (attached the screen shot of your workings on symbolab calculator)
Sequences and series
6) Find the first six terms of ???? = 3 ??-1
7) The number of Laps that a swimmer swims each week follows an arithmetic sequence.
In the first week she swims 12 laps and in the 5th week she swims 24 laps.
a) Find the common difference between weeks
b) How many laps does she swim in the 15th week?
c) The total number of laps she swims in the first 15 weeks (S15)
d) Write an expression for S15 using summation notation [?15??=1(????)]
e) Use symbolab online calculator to evaluate the expression found in part c) and validate the answer found in part b) (attached the screen shot of your workings on symbolab calculator)
8) A pendulum swings a distance of 58 m initially from one side to the other. After first swing, each swing is only of the distance of the previous swing. What is the total distance covered by the pendulum in 12 swings?
9) Evaluate (manually) :
Formula Sheet
1) Amplitude, Period, frequency and phase angle from Sine and Cosine curves
2) Amplitude, Period, Phase shift and vertical shift from Sine and cosine equations
3) Online Symbolab calculator URL
4) Convert Radian to Degree
5) Arithmetic Sequences
6) Geometric Sequences
7) Arithmetic Series
8) Geometric Series

Homework Market
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Homework Market


Quality Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Homework Market

Qualified Writers

We have hired a team of professional writers experienced in academic and business writing. Most of them are native speakers and PhD holders able to take care of any assignment you need help with.


Unlimited Revision

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account.


Timely Delivery

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. We will always strive to deliver on time.


Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text.


Customer Support 24/7

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Homework Market

Place your order

Fill in the order form and provide all details of your assignment.

Homework Market

Proceed with the payment

Choose the payment system that suits you most.

Homework Market

Receive the final file

Once your paper is ready, we will email it to you.

Homework Market Writing Services

No need to work on essay at night. Sleep tight, we will cover your back. We offer all kinds of essay writing services.

HomeworkMarket HomeworkMrket


Essay Writing Services

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

HomeworkMarket HomeworkMarket


Admission Essays

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

HomeworkMarket HomeworkMarket


Essay Editing

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

HomeworkMarket HomeworkMarket

Research Paper

Research Paper

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied.