# ENG1090: Radioactive materials, such as Plutonium-239, Radium-226, and others, decay exponentially. The amount of radioactive material: Foundation Mathematics Assignment, MUM, Malaysia

School

###### Monash University Malaysia (MUM)

*We aren't endorsed by this school

Assignment Type

Subject

Date

###### 24/11/2022

Question 1.1

Radioactive materials, such as Plutonium-239, Radium-226, and others, decay exponentially. The amount of radioactive material present at time t can be described

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 its original mass.

Question 1.2

Let d be the last non-zero digit of your student number. The average temperature of a machine is modelled by

where t is given in an hour.

a) Simplify the expression T(t) into an equivalent form , 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 phase-angle form  Justify your answers carefully.

## Get Help By Expert

When you're looking for reliable help completing your assignments, Malaysia is the perfect place to turn. With world-class assistance available at a variety of prices, you can get the support you need without breaking the bank. Whether you're in high school or continuing your education, Malaysian Assignment Help can make a world of difference when it comes to achieving peak performance levels and increasing confidence as an academic assignment writer. Why not take advantage of this top-rated service today and experience excellent results?

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
##### Convincing Features
Plagiarism Free Report
On-Time Delivery
Native Writers
A+ Quality
100% Confidential
24*7 Online Assistance