**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.

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