30. A pot of boiling soup (100°C) is put in a cellar with a temperatureof 10°C. After 30 minutes, the soup has cooled to 80°C. When willthe temperature of the soup reach 30°C? 27–30. Newton's Law of Cooling Solve the differential equation forNewton's Law of Cooling to find the temperature function in the follow-ing cases. Then answer any additional questions.

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Answered: 30. A pot of boiling soup (100°C) is…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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564. You make a trip which entails travelling 900 kms. by train at an average speed of ph: 3000 kms. by boat at an average oj 25 km. p.h.; 400 kms. by plane at 350 km. p.h., and finally, 15 kms by taxi at 25 km. p.h. What is your average speed for the entire distance ? 1 2
On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 22"C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 32°C for the rest of the afternoon. If the time constant for the building is 5 he, what will be the temperature inside the building at 2:00 PM? AL 6:00 PM? When will the temperature inside the building reach 24°C? At 2:00 PM., the temperature inside the building will be about "C. (Round to the nearest tenth as needed.)
2. Two containers A and B contain different liquids which are kept at a constant temperature. The temperature of the liquid in containers A and B are 0° C and 100° C, respectively. A metal bar at 100° C is initially put into container A. After one minute, the temperature of the metal drops to 90° C. Determine the temperature of the metal after two minutes in container A b. After two minutes, the metal is transferred to container B. One minute later, the temperature of the metal increases by 10° C. Determine the total time required from the start of the process for the metal to reach 95° C.

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