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He region bounded by y = 1 3 x and y = √x. revolved around the x-axis. 1

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User Mihkorz
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1 Answer

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Final answer:

The question deals with using integral calculus to compute the volume of a solid of revolution formed by rotating the area between curves y = (1/3)x and y = √x around the x-axis, using the disk or washer method.

Step-by-step explanation:

The mathematics question you have encountered is related to finding the volume of a 3-dimensional solid formed by revolving a region bounded by two curves around the x-axis. Specifically, it involves calculating the volume of the solid obtained by rotating the area between the curves y = (1/3)x and y = √x around the x-axis. To solve this, one would typically use the disk method or the washer method, which are integral calculus techniques used to compute volumes of solids of revolution. A step-by-step explanation would involve setting up the appropriate integral(s), finding the limits of integration by solving for the intersection points of the curves, and evaluating the integral to obtain the volume.

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User Knights
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