anonymous
  • anonymous
On a certain day the temperature t hours past midnight was T(t)=60+5sin((pi/6)(t-10)). What was the average temperature between noon and mignight of the same day? I know that you would use the mean value theorem for integrals to solve this which I know how, but why?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Wouldn't you just use the mean value thoerem for derivatives since you're trying to find the average temperature? Not time*temperature as the area under the curve of this function suggests?
dumbcow
  • dumbcow
you're right we are looking for average temperature and we are looking at area under curve but not of T but T' _>\[=1/12\int\limits_{0}^{12}T 'dt\] which really is (T(12)-T(0))/12
dumbcow
  • dumbcow
think of it as Temp/time * time

Looking for something else?

Not the answer you are looking for? Search for more explanations.