C) Set up a double integral in polar coordinates whose value equals the volume of the region bound by the (x, y) plane, the cylinder of radius 1 centered at (0,0), and the surface_z = 10+²y². Write the integrand so that it contains only one trigonometric function. (Ans: (10r + r³ cos 20)d0)dr) 2x

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C) Set up a double integral in polar coordinates whose value equals the volume of the region bound by
the (x, y) plane, the cylinder of radius 1 centered at (0,0), and the surface z = 10 + x² - y². Write the
integrand so that it contains only one trigonometric function. (Ans: (10r + r³ cos 20)d0) dr)
Transcribed Image Text:C) Set up a double integral in polar coordinates whose value equals the volume of the region bound by the (x, y) plane, the cylinder of radius 1 centered at (0,0), and the surface z = 10 + x² - y². Write the integrand so that it contains only one trigonometric function. (Ans: (10r + r³ cos 20)d0) dr)
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