Case Study Challenge
AOD: Street Light Intensity Patterns
A small town is analyzing the pattern of a new street light installation.
The lights are set up in such a way that the intensity of light at any point x metres from the start of the street can be modelled by the function:
f(x) = ex sin x
Where x is in metres.
Answer the following:
| (i) | Find the intervals on which the f(x) is increasing or decreasing for x ∈ [0, π]. | [2 Marks] |
| (ii) | Verify whether each critical point when x ∈ [0, π] is a point of local maximum or local minimum or a point of inflexion. | [2 Marks] |