(Solution) - Consider the function G x x0 f t dt where -(2025 Original AI-Free Solution)

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Consider the function G(x) = ?x0 f (t) dt, where f(t) oscillates about the line y = 2 over the r-region [0, 101 and is given by Figure 10.
(a) At what values of x over this region do the local maxima and minima of G(x) occur?
(b) Where does G(x) attain its absolute maximum and absolute minimum?
(c) On what intervals is G(x) concave down?
(d) Sketch a graph of G(x).