To find the maximum height of the rocket, we need to find the vertex of the parabola represented by the equation y = -1/((x+6)(x-18)).
The x-coordinate of the vertex can be found using the formula x = -b/2a, where a = -1, b = 0, and c = 0 (since there are no linear or constant terms in the equation).
So, x = -0/(2(-1)) = 0.
To find the y-coordinate of the vertex, we need to substitute x = 0 into the equation:
y = -1/((0+6)(0-18)) = -1/(-6)(18) = 1/108
Therefore, the maximum height of the rocket is 1/108 meters, or approximately 0.00926 meters or 9.26 millimeters.
Note: It's possible that the equation was meant to be y = -1/((x+6) (x-18)), with a negative sign in front of the whole fraction. In this case, the maximum height would still be 1/108 meters, but with a positive sign
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