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(10 points) Suppose that f(x) = 5x2 In(x), x> 0. (A) List all the critical values of f(x). Note: If there are no critical values,

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(10 points) Suppose that f(x) = 5x2 In(x), x> 0. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for co, '-INF' for -co, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: NONE (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maximums = NONE (E) List the x values of all local minima of f(x) . If there are no local minima, enter 'NONE'. x values of local minimums = NONE (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points = NONE (1) Use all of the preceding information to sketch a graph of f. Include all vertical and/or horizontal asymptotes. When you're finished, enter a "1" in the box below. Graph complete: 1

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