Consider the function g(x)= x-0.2x^ 2 + x, 0<x<4

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider the function

g(x)=\ln x-0.2x^{2}+\sin x, \quad 0<x<4.

Which of the following

x

–values is closest to the point at which

g

attains its absolute maximum on the given interval? (a)

1.75

(b)

1.10

(c)

1.60

(d)

2.50