Unformatted text preview: and the boundary of the optimal pickup region is given by the cardioid θ sin 4 4 + = r , where r is measured in meters and the microphone is at the pole. The musicians want to know the area they will have on stage within the optimal pickup range of the microphone. Answer their question. Hint: Start by writing the line representing the front of the stage in polar form and finding its intersection with the cardioid. 2. (6 marks) Find the volume of the solid bounded by the cylinder 4 2 2 = + z y and the planes y x 2 = , = x , = z in the first octant....
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- Spring '08
- Calculus, TA, 3 m, Microphone, optimal pickup region