Problem 4

The surface area of a tea spill is estimated by measuring the width (in cm) of the spill at equally spaced intervals of 1.5 cm (width data is found in TeaSpill.txt). Use numerical integration to estimate the area of the tea spill. Plot the width.

(using matlab)

TeaSpill.txt:

0,0.0051546,0.089414,0.17059,0.23896,0.31557,0.38447,0.44082,0.49993,0.5595,0.61335,0.66465,0.71207,0.75085,0.79233,0.833,0.85959,0.89499,0.91914,0.93992,0.95897,0.97301,0.9855,0.99457,0.99869,0.99997,1.0349,1.0099,1.0015,1.0372,1.025,1.024,1.0452,1.0305,1.0309,1.043,1.0403,1.0288,1.0091,1.012,1.0443,1.0014,1.0245,1.0084,1.0489,1.0356,1.025,1.0236,1.003,1.0341,1.0021,0.99999,0.99865,0.99406,0.98603,0.97352,0.95811,0.94234,0.91515,0.89471,0.86614,0.83296,0.79083,0.75261,0.71022,0.66761,0.61108,0.56512,0.49978,0.44726,0.38106,0.31848,0.24684,0.17621,0.098594,0.0066721,0