Minor Help: Chilling DFQ Wine From 70F to 56F

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white wine @ room temp 70F is chilled in ice (32F). It takes 15 mins for wine to chill to 60F, how long will it take for the wine to reach 56F:rolleyes:
 
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I don't see a differential equation, nor to I see an attempted solution. Both of those are required for you to get help here.
 
You have to come up with the dfq.
 
glitchy said:
You have to come up with the dfq.

:smile: Am I imagining that last post?
 
I seriously doubt that you are expected to re-discover Newton's law of cooling. Have a look at that link, then please post your thoughts on how to proceed.
 
glitchy said:
You have to come up with the dfq.

No, you have to come up the the diffeq, not us!:rolleyes:

As Tom Mattson said, Newton's law of cooling. It's probably given in your textbook.
 
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Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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