تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
(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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