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The Position of a Sonic Boom Caused by the Faster-Than-Sound log44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }

question 66

Essay

The position of a sonic boom caused by the faster-than-sound aircraft is the hyperbola log44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y } in the coordinate system shown. How wide is the hyperbola 2 units from its vertex?
1+log49xlog4y1 + \log _ { 4 } 9 x - \log _ { 4 } y

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