# ENG1090: Let d be the last non-zero digit of your student number: Foundation Mathematics Assignment, MU, Malaysia

 University Monash University (MU)

Assignment questions

Question 2.1

Let d be the last non-zero digit of your student number. The average temperature of a machine (in celcius) is modelled by
T(t) = 5 sin(t/3) + d sin2(t/6) − d cos2(t/6),
where t is given in hour.
a) Simplify the expression T(t) into an equivalent form T(t), for constants D, E, k. Hint: use the power reduction formulas introduced in Lecture 4.
b) Identify the period of the function T(t), and provide a brief reason for your answer.
c) Determine the amplitude A and the principal angle α when T(t) is written as a sine function in phaseangle form T(t) = A sin. Justify your answers carefully.

Question 2.2
Radioactive materials, such as Plutonium-239, Radium-226, and others, decay exponentially. The amount of radioactive material present at time t can be described by R(t) = R0e kt, where t represents time (in years), and R(t) represents the amount of radioactive material present at time t. After 700 years, a sample of Plutonium-239 has decayed to 40% of its original mass.

Find the half-life of this sample of Plutonium-239, i.e., the amount of time it takes for Plutonium-239 to decay to half it original mask.

## Get Help By Expert

Be sure to get assignment assistance from Assignmenthelper.my if you want to finish your assignments on time. Our specialists have years of experience in producing quality solutions for assignments. Just request us "do my assignment for me" and leave the rest to us.

Online Exam & Assignment Writing Services

70841+ Orders Delivered

4.9/5
5 Star Rating

Confidential & Secure Assignment Help For

Group Assignment Help

Online Exam -Test & Quiz

Cheapest Price Quote

Diploma & Certificate Levels

Semester & FYP Papers

Summative & Individual

GBA & Reflective

Last Minute Assistance

##### CMT560 Advanced Analytical Investigation UITM Assignment Example Malaysia
The CMT560 Advanced Analytical Investigation course at UiTM in Malaysia focuses on the design and theory of modern instrumental techniques for applied chemical analysis. Students engage in discussions with assigned…
Data-Science
##### CSC575 Software Project Management Assignment Sample UiTM Malaysia
The CSC575 course covers the fundamental concepts of software project management. It will teach you how to estimate time and costs for your projects, track progress towards goals using milestones…
Computer & It

UP TO 15 % DISCOUNT

Instant Paper Writing Services by Native Malaysia Writers

Plagiarism Free Solutions
100% Original Work
24*7 Online Assistance
Native PhD Experts
Hire a Writer Now