Mean value theorem or newton law of cooling

I have this word problem: The temperature The temperature in Fullerton is 59.6^{0}F in the morning at 8am, and rises to 96.2^{0}F 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?

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

Re: Mean value theorem or newton law of cooling

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

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