Mathematics

Mathematics

Problem

A continuous function gg satisfies ∫1kg(x) dx=18\displaystyle \int_{1}^{k} g(x)\,dx = 18. The average value of gg on [1,k][1,k] is mm. Which of the following equations must kk satisfy? a) mk−1=18\dfrac{m}{k-1} = 18 b) (k−1)m=18(k-1)m = 18 c) k m=18k\,m = 18 d) k−1=18mk-1 = 18m

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