Time left 1:29:36Assume that a body cools according to the Newton's Law of cooling. Find the temperature(T) at time (t) of a boiler of water cooling in air at 0 degree Celsius if the water is initiallyboiling at 100 degree Celsius and the temperature dropped 10 degree Celsius during thefirst 20 - min. Also, find the time for the temperature of the water to drop from 90 degreeCelsius to 80 degree Celsius.a. 22.4 minutesO b. 15.4 minutesO c. 28.3 minutesO d. 12.2 minutes

Answered: Assume that a body cools according to…

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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A mass of 1.75 kg stretches a spring 0.1 m. The mass is in a medium that exerts a viscous resistance of 36 N when the mass has a velocity of 6 . The viscous resistance is proportional to the speed of the object. m S Suppose the object is displaced an additional 0.03 m and released. m Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to $2 gravity. u(t) = Submit Question
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 190 degrees Fahrenheit when freshly poured, and 2.5 minutes later has cooled to 180 degrees in a room at 62 degrees, determine when the coffee reaches a temperature of 145 degrees. The coffee will reach a temperature of 145 degrees in minutes.
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A dead body was found within a closed room of a house where the temperature was a constant 65° F. At the time of discovery the core temperature of the body was determined to be 80° F. One hour later a second measurement showed that the core temperature of the body was 75° F. Assume that the time of death corresponds to t = and that the core temperature at that time was 98.6° F. Determine how many hours elapsed before the body was found. [Hint: Let t₁ > 0 denote the time that the body was discovered.] (Round your answer to one decimal place.) 1.6 Xhr
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