Sun bath/6 to 22/-t^3+27t^2-120t/Best hour/Exercise
A person wants to sun bath for an hour. The intensity of the sun in the time interval (in hours) is given by the function
![{\displaystyle {}[6,22]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/dc5f9564df4d74cc9bc4f63ba7eee79055b76139)
![{\displaystyle f\colon [6,22]\longrightarrow \mathbb {R} ,t\longmapsto f(t)=-t^{3}+27t^{2}-120t.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3dd5810786df2aac14ecf08383a81576563f6ef0)
Determine the starting point for the sun bath in order to get the maximal amount of sun.