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Bladerunner1122
 3 years ago
Find the average value of the function f on the given interval.
f(x)=√x on the interval [1,9]
Please explain the process.
Bladerunner1122
 3 years ago
Find the average value of the function f on the given interval. f(x)=√x on the interval [1,9] Please explain the process.

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abb0t
 3 years ago
Best ResponseYou've already chosen the best response.1You are dealing with the fundamental theorem of calculus pt. II. According to FToC II Suppose f(x) is a contunuous function on an interval [a, b] which in your case is [1,9]. and supposed that F(x) is any antiderviateive for f(x). Then: \[\int\limits_{1}^{9}\sqrt{x}dx = F(x)\] where F(x) is evalauted on the inteval [1,9] meaning: \[F(b)  F (a) = F(9)F(1)\]

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.1@amoodarya that's very helpful! Good job, but I think you should of let him try it out on his own first as this is a Calculus course which requires more critical thinking and application.

Bladerunner1122
 3 years ago
Best ResponseYou've already chosen the best response.0I'm trying to understand how to get the answer. Thanks both of you. :)

Bladerunner1122
 3 years ago
Best ResponseYou've already chosen the best response.0(emphasis on "how to") ;)

abb0t
 3 years ago
Best ResponseYou've already chosen the best response.1If there's any confusion, please ask. It's best to ask all the questions now and know for certain than be uncertain during an exam.

Bladerunner1122
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks, I think I'm good for now, but I may come back to ask more questions.

Bladerunner1122
 3 years ago
Best ResponseYou've already chosen the best response.0It just occurred to me that the answer is wrong because I wanted it on the interval [1,9] not [0,9].
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