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1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the temperature is 15°F. At 9:05PM., the thermometer reading is 45°F. At 9:10PM., the thermometer is taken back indoors where the temperature is fixed at 70°F. Find (a) the reading at 9:20PM. and (b) when the reading, to the nearest degree, will show the correct (70°F) indoor temperature.

1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the temperature is 15°F. At 9:05PM., the thermometer reading is 45°F. At 9:10PM., the thermometer is taken back indoors where the temperature is fixed at 70°F. Find (a) the reading at 9:20PM. and (b) when the reading, to the nearest degree, will show the correct (70°F) indoor temperature.

Advanced Engineering Mathematics
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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1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the temperature is 15°F. At 9:05PM., the thermometer reading is 45°F. At 9:10PM., the thermometer is taken back indoors where the temperature is fixed at 70°F. Find (a) the reading at 9:20PM. and (b) when the reading, to the nearest degree, will show the correct (70°F) indoor temperature.
Transcribed Image Text:1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the temperature is 15°F. At 9:05PM., the thermometer reading is 45°F. At 9:10PM., the thermometer is taken back indoors where the temperature is fixed at 70°F. Find (a) the reading at 9:20PM. and (b) when the reading, to the nearest degree, will show the correct (70°F) indoor temperature.
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