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  1. Water width under a parabolic arch ●●○○○ 20 ptsThe vertex of a parabolic arch bridge is 2 meters above the water surface, and the width of the water surface is 8 meters. When the water level rises by 12\frac{1}{2} meter, find the width of the water surface in meters. Round to two decimal places.
  2. Solving a quadratic with exponents ●●○○○ 20 ptsSolve 4(3−x)+92=x(x−4)+72−54(3 - x) + 9^2 = x(x - 4) + 7^2 - 5 for the positive value of xx.
  3. Square root plus arcsine value ●●●○○ 50 ptsGiven a real number xx, find the value of x(x+1)+arcsin⁡x2+x+1\sqrt{x(x+1)}+\arcsin \sqrt{x^{2}+x+1}, in radians. Round to two decimal places.

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