Parabolic Antenna Problem: A satellite dish antenna is to be constructed in the shape of
Chapter 12, Problem R.6(choose chapter or problem)
Parabolic Antenna Problem: A satellite dish antenna is to be constructed in the shape of a paraboloid (Figure 12-7e). The paraboloid is formed by rotating about the x-axis the parabola with focus at point (25, 0) and directrix x = 25, where x and y are in inches. The diameter of the antenna is to be 80 in. Figure 12-7e a. Find the equation of the parabola and the domain of x. b. Sketch the graph of the parabola, showing the focus and the directrix. c. A receiver is to be placed at the focus. Figure 12-7e suggests that the receiver would touch the ground if the antenna were placed face down. Determine algebraically whether or not this geometrical observation is correct.
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