Consider the function f(x) = 2/T + 6 on the interval [4, 9]. Find the average or mean slope of the function on this interval. 0.4 By the Mean Value Theorem, we know there exists a c in the open interval (4, 9) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Consider the function f(x) = 2/T + 6 on the interval [4, 9]. Find the average or mean slope of the
function on this interval.
0.4
By the Mean Value Theorem, we know there exists a c in the open interval (4, 9) such that f'(c) is equal
to this mean slope. For this problem, there is only one c that works. Find it.
Transcribed Image Text:Consider the function f(x) = 2/T + 6 on the interval [4, 9]. Find the average or mean slope of the function on this interval. 0.4 By the Mean Value Theorem, we know there exists a c in the open interval (4, 9) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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