Here is a graph of "well-being":

Consider three cycles of the human condition

• Emotional -- 15 days
• Physical -- 10 days
• Intellectual -- 7.5 days

            y    =    A₁ sin k₁ x   +   A₂ sin k₂ x   +   A₃ sin k₃ x

where    k₁ = 2p / 15     k₂ = 2p / 10     k₃ = 2p / 7.5

and A₁, A₂, A₃ are amplitudes of the corresponding cycles.

Change the values of the amplitudes and observe the change in the graph.
In particular, compare with the results of your take-home quiz 7.