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categoryرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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12 10. [6 points] Find the absolute extrema of f(x) = 5 +3x-823 on the interval [-2,2]. 11. Two cars start at the same location. One of the cars is driven directly north at a rate of 6 m/s. The other car is driven directly east at a rate of 8 m/s. For this question, make sure you show ALL your work. Draw a picture, clearly define your variables and rates, list the information the question provides, and clearly state the equation that you differentiate. (a) [7 points] At what rate is the distance between the two cars increasing after 5 seconds? (b) [5 points] Consider the triangle formed by the routes of the cars and the distance between the cars. At what rate is the area of this triangle changing after 5 seconds?

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