Question

Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = -sin x, [0, ???] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.) x =

          Find the average value of the function over the given interval. (Round your answer to three decimal places.)
f(x) = -sin x, [0, ???]
Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
x =

Find the average value of the function over the given interval. (Round your answer to three decimal places.)
f(x) = -sin x, [0, ???]
Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
x =

Added by Sonia R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ben Blakesley

07/28/2022

Step 1

The average value is given by: \[ \text{Average value} = \frac{1}{\text{Length of interval}} \times \int_{0}^{\pi} \sin(x) \, dx \] \[ = \frac{1}{\pi - 0} \times \int_{0}^{\pi} \sin(x) \, dx \] \[ = \frac{1}{\pi} \times \left[-\cos(x)\right]_{0}^{\pi} \] \[ = Show more…

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Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = -sin x, [0, ̀̑̑] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)