# Mean value theorem or newton law of cooling

• Nov 8th 2012, 11:11 PM
ninedragon
Mean value theorem or newton law of cooling
I have this word problem: The temperature The temperature in Fullerton is 59.60F in the morning at 8am, and rises to 96.20F in the afternoonat 2pm. At some point the rise in temperature per hour must have been what?

Ok, this could be mean value theorem problem or an newton law of cooling to find k?
• Nov 8th 2012, 11:20 PM
jakncoke
Re: Mean value theorem or newton law of cooling
The mean value thrm basically says that if you take the slope of the line from the point (a, f(a)) and (b, f(b)), then somewhere between a and b, you would find a value, call it c, such that f'(c) = slope of the line from the point (a, f(a)) and (b, f(b)). So, basically, calculate the slope (96.2F - 59.6F)/ (6 hrs ) [the difference between 2pm and 8am), so the rise in temp at some point would be 6.1F/1hr
• Nov 8th 2012, 11:21 PM
ninedragon
Re: Mean value theorem or newton law of cooling
So basically this problem ask for the slope? wow, thank you so much then
• Nov 8th 2012, 11:22 PM
jakncoke
Re: Mean value theorem or newton law of cooling
Quote:

Originally Posted by ninedragon
So basically this problem ask for the slope? wow, thank you so much then

yes