= 4 = 5 = 6 minutes = 7 -0.038t = 8 X 9 = 10 cò = 11 Sam places a bottle of water inside a cooler. As the water, cools, its temperature C (t) in degrees Celsius is given by the number of minutes since the bottle was placed in the cooler. C(t)=7+13e Sam wants to drink the water when it reaches a temperature of 17 degrees Celsius. How many minutes should he leave Round your answer to the nearest tenth, and do not round any intermediate computations. = 12 = 13
= 4 = 5 = 6 minutes = 7 -0.038t = 8 X 9 = 10 cò = 11 Sam places a bottle of water inside a cooler. As the water, cools, its temperature C (t) in degrees Celsius is given by the number of minutes since the bottle was placed in the cooler. C(t)=7+13e Sam wants to drink the water when it reaches a temperature of 17 degrees Celsius. How many minutes should he leave Round your answer to the nearest tenth, and do not round any intermediate computations. = 12 = 13
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Cooling Water in a Cooler**
**Problem Statement:**
Sam places a bottle of water inside a cooler. As the water cools, its temperature \( C(t) \) in degrees Celsius is given by the number of minutes since the bottle was placed in the cooler:
\[ C(t) = 7 + 13e^{-0.038t} \]
Sam wants to drink the water when it reaches a temperature of 17 degrees Celsius. How many minutes should he leave the bottle in the cooler?
**Instructions:**
Round your answer to the nearest tenth, and do not round any intermediate computations.
**Solution:**
Enter your answer in the provided box labeled "minutes."
[ ] minutes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbae73a37-719e-4892-8745-1f816a181ea7%2Fd6d5ab51-50eb-490c-99bc-105b9624466a%2Faymnt7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Cooling Water in a Cooler**
**Problem Statement:**
Sam places a bottle of water inside a cooler. As the water cools, its temperature \( C(t) \) in degrees Celsius is given by the number of minutes since the bottle was placed in the cooler:
\[ C(t) = 7 + 13e^{-0.038t} \]
Sam wants to drink the water when it reaches a temperature of 17 degrees Celsius. How many minutes should he leave the bottle in the cooler?
**Instructions:**
Round your answer to the nearest tenth, and do not round any intermediate computations.
**Solution:**
Enter your answer in the provided box labeled "minutes."
[ ] minutes
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