MATH116 Lecture 17: M116F15_P11

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Practice problems 11: find the area enclosed between the curves y = x and y = 5x x2, consider the function f (x) = sin(2x). (a) find the average value of f on the interval [0, . 4 ]. (b) find the average value of f on the interval [0, 4 ]: find the volumes of the following solids generated by rotating the region bounded by the given curves about the speci ed line. The bucket is raised a total of 10 m at a constant speed but, as it is going up, water is leaking at a constant rate such that the bucket becomes completely empty just as it reaches. 10 m. if the bucket itself has a mass of 1 kg and there is originally 20 kg of water in the bucket nd how much work is done.

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