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Determine the temperature in Fahrenheit of the patient t hours after the initial measurement, given by the formula:

\[ T(t) = -0.02t^2 + 0.464t + 97.7 \]

Answer :

Final answer:

The function T(t) = -0.02t²+0.464t+97.7 seems to represent a patient's Fahrenheit temperature over time given 't' as the hours passed. The function is a parabolic equation, suggesting that the temperature initially rises and then falls over time.

Explanation:

The question relates to the mathematical function T(t) = -0.02t² + 0.464t + 97.7, which seems to represent a patient's Fahrenheit temperature (T) hours after a specific event, with 't' being the number of hours that have passed. The function itself is a parabolic equation in the form of at² + bt + c, where 'a' will define its concavity, 'b' is related with the line of symmetry and 'c' is the y-intercept. Interpreting the function, it appears that as time goes on, the temperature initially rises and then falls, as indicated by the negative coefficient of 't²'. A better understanding of the problem context could lead to even more insights.


Learn more about Parabolic function here:

https://brainly.com/question/35698982

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