# Consider the given function and the given interval.f(x) = 18 sin(x) – 9 sin(2x), [0, x](a) Find the average value fave of f on the given interval.fave%3D(b) Find c such that fave = f(c). (Round your answers to three decimal places.)(smaller value)(larger value)

Question
40 views help_outlineImage TranscriptioncloseConsider the given function and the given interval. f(x) = 18 sin(x) – 9 sin(2x), [0, x] (a) Find the average value fave of f on the given interval. fave %3D (b) Find c such that fave = f(c). (Round your answers to three decimal places.) (smaller value) (larger value) fullscreen
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Step 1

Average value fave of f(x) on the given interval [a, b] is given by - Difference rule of integration is given by – Step 2

Given –

a)  Substituting given values of f(x), a and b in the formula. Using a difference rule of integration can be rewritten as    Step 3

b)               We have to find c such that favg =f(c)

Substituting x = c in f(x) we will get So according to the question Using graphing calculator we can find two values of c ...

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