Find the numbers b such that the average value of f(x) on the interval [0, b] is equal to 9.

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Question: Find the numbers b such that the average value of f(x) = 8 + 10x − 9x^2 on the interval [0, b] is equal to 9.
Find the numbers b such that the average value of f(x) = 8 + 10x − 9x2 on the interval [0, b] is equal to 9.

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Answered By:

John C.
Experienced tutor in trigonometry, precal, and calculus

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Written Explanation:

I was trying to keep this video under five minutes, so after you find the values:b = (5 ± √(13))/6you split them up into different fractionsb = (5 + √(13))/6b = (5 - √(13))/6and make sure they are both greater than 0 since the left endpoint is 0.

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