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Solve Applied Problems Involving Hyperbolas
Solve the Problem (0,3)( 0,3 )

question 52

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Solve Applied Problems Involving Hyperbolas
Solve the problem.
-A satellite following the hyperbolic path shown in the picture turns rapidly at (0,3) ( 0,3 ) and then moves closer and closer to the line y=52x\mathrm { y } = \frac { 5 } { 2 } \mathrm { x } as it gets farther from the tracking station at the origin. Find the equation that describes the path of the satellite if the center of the hyperbola is at (0,0) ( 0,0 ) .
 Solve Applied Problems Involving Hyperbolas Solve the problem. -A satellite following the hyperbolic path shown in the picture turns rapidly at  ( 0,3 )   and then moves closer and closer to the line  \mathrm { y } = \frac { 5 } { 2 } \mathrm { x }  as it gets farther from the tracking station at the origin. Find the equation that describes the path of the satellite if the center of the hyperbola is at  ( 0,0 )  .    A)   \frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { \frac { 36 } { 25 } } = 1  B)   \frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { \left( \frac { 75 } { 6 } \right)  ^ { 2 } } = 1  C)   \frac { y ^ { 2 } } { \frac { 36 } { 25 } } - \frac { x ^ { 2 } } { 9 } = 1  D)   \frac { x ^ { 2 } } { \left( \frac { 75 } { 6 } \right)  ^ { 2 } } - \frac { y ^ { 2 } } { 9 } = 1

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