A vertical, irregularly shaped plate is submerged in water. The table shows measurements of its width, taken at the indicated depths. Use Simpson's Rule to estimate the force of the water against the plate. Use the fact that the density of water $1000\,kg/m^3.$ $$\begin{array}{|c|c|c|c|c|c|c|c|}\hline \textrm{Depth}\;(m) & 2.0 & 2.5 & 3.0 & 3.5 & 4.0 & 4.5 & 5.0 \\ \hline \textrm{Plate width}\;(m) & 0.0 & 0.8 & 1.7 & 2.4 & 2.9 & 3.3 & 3.6 \\ \hline \end{array}$$

Hydrostatic force $\approx$ N