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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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(2 points) A company estimates that it will sell N(x) units of a product after spending x thousand dollars on advertising, as given by =-3x3 + 215x² - 3200x + 17000, N(x) = (A) Use interval notation to indicate when the rate of change of sales N'(x) is increasing. 10 ≤ x ≤ 40. Note: When using interval notation in WeBWorK, remember that: You use 'I' for ∞ and '-I' for -co, and 'U' for the union symbol. If you have extra boxes, fill each in with an 'x'. N'(x) increasing: (B) Use interval notation to indicate when the rate of change of sales N'(x) is decreasing. N'(x) decreasing: (C) Find the average of the x values of all inflection points of N(x). Note: If there are no inflection points, enter -1000. Average of inflection points = (D) Find the maximum rate of change of sales. Maximum rate of change of sales =

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