A glassed, arched entry to a hotel follows the curve , where is the vertical height of the arch at a distance of metres from the floor. If glass costs 1 190 LE per square metre, calculate the cost of the entrance.
Determine the area of the plane region bounded by the curve and the lines , , and rounded to the nearest hundredth.
The curve shown is . What is the area of the shaded region? Give an exact answer.