Consider the solid whose lower boundary's surface is given by the equation and = V whose...

 
   

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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. 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.