Solved: In hilly areas, radio reception may be poor.

Chapter 6, Problem 9

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In hilly areas, radio reception may be poor. Consider a situation where an FM transmitter is located at the point behind a hill modeled by the graph of and a radio receiver is on the opposite side of the hill. (Assume that the axis represents ground level at the base of the hill.) (a) What is the closest position the radio can be to the hill so that reception is unobstructed? (b) Write the closest position of the radio with represented as a function of if the transmitter is located at (c) Use a graphing utility to graph the function for in part (b). Determine the vertical asymptote of the function and interpret the result x2x2