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1. (26 Points) Let f(x) = x-6x+9x+1. (a) Find all the critical numbers of f. (b) Classify each critical number as a local maximum,

1. (26 Points) Let f(x) = x-6x+9x+1. (a) Find all the critical numbers of f. (b) Classify each critical number as a local maximum, minimum or inflection point of f. (c) Find the global maximum and minimum values of f on [0,2]. (d) Find the linearization of f at x = -1 and use it to approximate the value of f(-0.9).

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