Question
Consider the solid whose lower boundary's surface is given by the equation and = V whose upper boundary's surface is given by the equation
Consider the solid whose lower boundary's surface is given by the equation and = V whose upper boundary's surface is given by the equation z = 1. Suppose you are going to use a double integral f f dA over an appropriate region R in the x-y plane to calculate the volume of the solid. a. Describe the region R using inequalities in rectangular coordinates. b. Describe the region R using inequalities in polar coordinates. c. Using whichever coordinate system you feel is easier, set up an appropriate pair of iterated integrals and evaluate to find the volume.
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