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2. a. Consider the region enclosed by v = sqrt(x) , y = 0 , and x = 4 . Rotate this region about x
2. a. Consider the region enclosed by v = sqrt(x) , y = 0 , and x = 4 . Rotate this region about x = - 1 -1. The goal is to determine the volume of this solid of rotation. Draw a well-labeled graph of this solid of rotation. In this step, draw a typical cylindrical shell to determine its volume. b Using cylindrical shells, set up the integral to determine the volume of this solid. Do not evaluate the integral in this step. Draw another well-labeled graph of this solid of rotation. In this step, draw a typical disc or washer to determine its volume. d. Using discs or washers, set up the integral to determine the volume of this solid. Do not evaluate the integral in this step. Using a device (smartphone, computer, or calculator), evaluate the two integrals you have calculated, approximated to three decimal places (I do not want an exact answer here, just an approximation). You know the two integrals should evaluate to the same number since they are the same volume, so if they do not evaluate to the same number, look for your error. f. Finish your problem with a sentence that answers the question: What is the volume of this solid? e
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