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Unformatted text preview: on this interval. At a maximum point, the slopes of the tangents must change from to . At a minimum point, the slopes of the tangents must change from to . 2.5 Solving Problems Involving Rates of Change.notebook 2 September 22, 2009 Example #2: For the function f(x) = x 3- 27 x + 1, verify that the point (-3, 55) is either a maximum or a minimum. Example #3: A football is kicked into the air such that its height, h , in metres, after t seconds can be modeled by the function: h(t) = -4.9 t 2 + 26.95 t + 152. (a) Find the time when the football reaches its maximum height. (b) Use the slopes of the tangents to verify that this point is a maximum. Assigned Work: page 112 #3, 4, 5ac, 6ce, 7, 9, 10, 11...
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