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Given the region bounded by the function below and the x-axis on the interval also given:...

Given the region bounded by the function below and the x-axis on the interval also given:
y = ln(x) / sin(x/5) , [11,14]
a) estimate the arc length of y=f(x) on the given interval
b(determine the exact arc length
c) the average value must be between ____ and ____ (min and max)
d) what is the average value
e) the mean value theorem states that there must be at least one x-value c in [11,14] such that fave=f(c). use technology to find the values. x=?

Math   Calculus   
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