# Calculus of exponentials and trip fcns: temp can be modeled by π¦ = 5πππ  π₯^2 + 25

#### sampang

##### New member
Calculus of exponentials and trip fcns: temp can be modeled by π¦ = 5πππ  π₯^2 + 25

3.The weather in a given country can be modelled approximately by the curve π¦ = 5πππ  π₯2 + 25.
x is the number of the month (e.g. March is 3) and y is the average monthly temperature.
(a) Using transformations of graphs, explain why πππ₯cosπ₯2= β12sinπ₯2
(b) Using calculus, determine which month is the hottest.
(c) During which months is the temperature increasing?

#### Dr.Peterson

##### Elite Member
3.The weather in a given country can be modelled approximately by the curve π¦ = 5πππ  π₯2 + 25.
x is the number of the month (e.g. March is 3) and y is the average monthly temperature.
(a) Using transformations of graphs, explain why πππ₯cosπ₯2= β12sinπ₯2
(b) Using calculus, determine which month is the hottest.
(c) During which months is the temperature increasing?