Question

1) The ground level of a small section of the land, is contaminated with PAH due past industrial activities and require investigation to quantify the extent of contamination, is described by the equation: Y- 12X -2X2 Find the area enclosed by the curve for the range (O<xS6) (a)using Simpson's rule (b) between the ordinates 1 and 5 using the trapezoidal and mid- point rule (c) Determine the position of the centroid from the origin 2) The cross-sectional area of a proposed roadway, for the site, cutting taken at 20 m intervals are shown in the following table Area (m2) 48.0 54.2 61.2 72.8 77.8 68.9 65.2 60.1 55.3 Chainage (m) 20 40 60 80 100 120 140 160 (a) Draw and label the cross-section of the roadway (b)Calculate the volume of material to be excavated (c)If granite with density 2.75 g/cm3 underlie the site, determine the position centre of mass of the material to be excavated d)Determine the position of centroid of the granite underlying the site Comment: for (c) and (d) Use chainage 0 as the origin.

Answer 1

12χ-2-х.

2x 2 36 3+6 12えー2χ SH

12- ae 6 y z 7.2