A hot anvil with cooling constant k = 0.02 s 1 is submerged in a large pool

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A hot anvil with cooling constant k = 0.02 s⁻¹is submerged in a large pool of water whose temperature is 10°C. Let y(t) be the anvil’s temperature t seconds later.

(a) What is the differential equation satisfied by y(t)?

(b) Find a formula for y(t), assuming the object’s initial temperature is 100°C.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 22, 2023 04:44 AM

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A hot anvil with cooling constant k = 0.02 s 1 is submerged in a large pool

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a By Newtons Law of Cooling the differential equation is y 002y 10 b The ge...View the full answer

Calculus

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