A back tangent of +4% gradient meets with a forward tangent of -3% gradient in a vertical curve. Station and elevation of Point of Vertical Intersection (PVI) are 70+00 and 270 ft, respectively. Horizontal length of the curve is 1000 ft. Calculate the elevation and tangent offset at station 74+00. Also, calculate the station in the curve that has maximum elevation, and corresponding maximum elevation.
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