Investigation: Logarithms (HSC SSCE Mathematics Advanced): Quizzes

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Investigation: Logarithms
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In Newton's cooling formula, what does T0T_0 represent?

Initial temperature of the body

How far apart must temperature measurements be to calculate constant kk using the given formula?

2 hours apart

What type of pattern does the cooling of a body follow?

Exponential decay

In the murder mystery, what was the environmental temperature (thermostat setting)?

21.11°C21.11°C

What is the relationship between logarithms and exponential functions?

Logarithms are the inverse of exponentials

What notation represents the natural logarithm (base ee)?

ln⁡\ln

When is Newton's cooling formula most valuable in forensic investigations?

First 24 hours after death

How does cooling rate change over time?

Quick at first, then slows down

When graphing temperature change, which variable goes on the yy-axis?

Temperature

Based on the worked example, what was the calculated time of death?

Approximately 4:40 p.m.

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