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Math Help - Mean value theorem or newton law of cooling

  1. #1
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    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?
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  2. #2
    Senior Member jakncoke's Avatar
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    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
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    Re: Mean value theorem or newton law of cooling

    So basically this problem ask for the slope? wow, thank you so much then
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    Senior Member jakncoke's Avatar
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    Re: Mean value theorem or newton law of cooling

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