Mathematics

Mathematics

Problem

Consider the function g(x)=ln⁡x−0.2x2+sin⁡x,0<x<4.g(x)=\ln x-0.2x^{2}+\sin x, \quad 0<x<4. Which of the following xx–values is closest to the point at which gg attains its absolute maximum on the given interval? a) 1.751.75 b) 1.101.10 c) 1.601.60 d) 2.502.50

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