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do - k· (0 – 10), dt where k is a constant. If the temperature of the body is initially 70°C and 10 minutes later is 40°C (a) Find k (b) Find the body's temperature after further 15 minutes.

do - k· (0 – 10), dt where k is a constant. If the temperature of the body is initially 70°C and 10 minutes later is 40°C (a) Find k (b) Find the body's temperature after further 15 minutes.

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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Q8) A body is cooling in surroundings maintained at 10. Its temperature after t minutes is given by: de k·(0 – 10) where kis a constant. If the temperature of the body is initially 70°C %3D dt and 10minutes later is 40"C (a) Find k (b) Find the body's temperature after further 15 minutes.
Transcribed Image Text:Q8) A body is cooling in surroundings maintained at 10. Its temperature after t minutes is given by: de k·(0 – 10) where kis a constant. If the temperature of the body is initially 70°C %3D dt and 10minutes later is 40"C (a) Find k (b) Find the body's temperature after further 15 minutes.
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