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anonymous
 5 years ago
Give me an example of an application problem that uses the mean value theorem of integrals as opposed to the mean value theorem for derivatives. I'm having trouble finding a difference.
anonymous
 5 years ago
Give me an example of an application problem that uses the mean value theorem of integrals as opposed to the mean value theorem for derivatives. I'm having trouble finding a difference.

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dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0The biggest difference is derivatives deal with slope, dy/dx and integrals deal with areas under a curve

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0first understand the difference between derivatives and integrals: they are inverse operations like multiplying and dividing. Integral question. Find the average value of given function on prescribed interval x^2  x + 1 on [1,2]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So here's and example: On a certain day the temperature t hours past midnight was T(t)=60+5sin((pi/6)(t10)). What was the average temperature between noon and mignight of the same day?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry you wanted application: f(x) = sq rt (9  x^2) on [3,3] Evaluate integral as part of circle.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0At first, I would think its just mean value theorem for derivatives, but the answer is integrals.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Actually I mean a story problem.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Mean Value Theorem for derivatives: car travels average velocity 60 mi/h; at some point the speedometer had read 60 m/h. Integrals is similar and gives a geometric interpretation of the theorem and makes it easier to understand. For example on an elementary question with multiplication and division the question or problem doesn't change for each, you just decide whether multiplication is appropriate or division is appropriate.
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