Solve the Problem $$T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 )$$

question 199

Short Answer

Solve the problem.
-The average daily temperature T of a city in the United States is approximated by $$T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 )$$ where t is in days, $$1 \leq \mathrm { t } \leq 365 \text {, }$$ nd t = 1 corresponds to January 1. Find the period of T.

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Definitions:

Overwhelmed

Experiencing a strong emotional effect to the extent of being unable to function normally due to an excessive amount of something.

Predictability

The extent to which future events or behaviors can be anticipated based on current knowledge or past events.

Stability

The quality of being stable; having consistency or permanence, and resistance to change or deterioration over time.

Continuity

The unbroken and consistent existence or operation of something over a period of time.