Thank you for visiting 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 is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
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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