A radio telescope is being designed in the shape of a parabolic dish with a diameter of

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A radio telescope is being designed in the shape of a parabolic dish with a diameter of 180 feet and a depth of 25 feet. 

(a) Determine an equation of the form x = ay2 with a > 0 describing a cross section of the dish. 

(b) The receiver is placed at the focus. How far from the vertex should the receiver be located?

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