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Mathematics, 24.01.2020 02:31 ValeryGi3721

Newton's law of cooling is:

du/dt= -k(u-t)

where u(t) is temperature of an object, t is in hours, t is a constant ambient temperature, and k is a positive constant.

suppose a building loses heat in accordance with newton's law of cooling. suppose that the rate constant k has the value 0.15 hr ? 1 . assume that the interior temperature is ti = 70? f, when the heating system fails. if the external temperature is t = 11? f, how long will it take for the interior temperature to fall to t1 = 32? f?

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Newton's law of cooling is:

du/dt= -k(u-t)

where u(t) is temperature of an...

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