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Please help answer the below questions on conics: (10 points) A parabolic reflector is in the shape made by revolving an arc of a parabola,

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Please help answer the below questions on conics:

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(10 points) A parabolic reflector is in the shape made by revolving an arc of a parabola, starting at the vertex, about the axis of the parabola. If the focus is 9 inches from the vertex, and the parabolic arc is 16 inches deep, how wide is the opening of the reflector?(10 points) The face of a one-lane tunnel is a square with a semi-circle above it. The semi-circle has a diameter of 5m. A truck that is 4.5m wide and 6.5 m tall tries to drive through the tunnel. Will the truck fit?(10 points) Long-range navigation (LORAN) is a radio navigation system developed during World War II. The system enables a pilot to guide aircraft by maintaining a constant difference between the aircraft's distances from two fixed points: the master station and the slave station. Write an equation that models the hyperbola depicted for an aircraft guided by a navigation system that employs hyperbolic tracking.

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