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

question 246

Essay

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, $1 \leq t \leq 365$ nd t = 1 corresponds to January 1. For what range of values of t is the average daily
temperature above 70°F? Use a calculator and round answers to the nearest whole number.

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Definitions:

Natural Behavior

The instinctual or innate actions and reactions of an animal or human, not influenced by conscious thought or societal norms.

Inclusive Fitness

A concept in evolutionary biology that considers an individual's success in passing genes to the next generation, including through relatives.

Reproductive Success

The success an organism achieves in passing its genes to the next generation, often measured by the number of offspring an organism produces that survive to reproduce.

Kin Selection

Indirect selection; adaptation to the environment due to the reproductive success of an individual’s relatives.