= 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
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**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
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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