We appreciate your visit to A patient has an illness that typically lasts about 24 hours The temperature tex t tex in degrees Fahrenheit of the patient tex t tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The temperature of the patient 2 hours after the illness begins is calculated using the equation t(t) = -0.02t² + 0.448t + 97.7, yielding a result of 98.516°F.
Explanation:
The temperature of the patient 2 hours after the illness begins can be calculated using the given quadratic equation t(t) = -0.02t² + 0.448t + 97.7. To find the temperature at t = 2 hours, we substitute 2 for t in the equation:
t(2) = -0.02(2)² + 0.448(2) + 97.7
First, calculate the square of 2, which is 4. Then multiply by -0.02: -0.02(4) = -0.08
Next, multiply 0.448 by 2: 0.448(2) = 0.896
Now add these results together and add 97.7 to find the final temperature: -0.08 + 0.896 + 97.7 = 98.516
Therefore, the temperature of the patient 2 hours after the illness begins is 98.516°F.
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