Show transcribed image text CVEN 2012 Geomatics 1. Given the function f(x.y)-r+'+ye* Find the uncertainty df Error Propagation: using the following information: j(x,y) to be evaluated at x=5.11 and y=4.703 Uncertainties in x and y are: 6x ±0.01 and Sy:-0.001 2. Find the mean and standard deviation of the following list of numbers. Use the form of the standard deviation for a population (not for a sample). Do this by hand-do not use Excel, etc. 12.22, 12.56, 11.70, 13.32, 12.93, 11.30, 13.10, 12.88, 12.73, 11.99, 11.38 Find the Error of the Sum for the list of numbers in Problem 2, assuming that all values have the same uncertainty δ 40.01. 4. Find the Error of the Mean for the mean calculated in Problem 2 5, 121.44 m and B 24.20 m. Each distance has A rectangular area has dimensions AxB where A an uncertainty of 40.03 m. What is the uncertainty of the area AxB? Measured Distance to X: (feet 312.35 6. A line X, toX is measured 3 times, with the result shown here: 312.39 The uncertainty of each measurement is ±0.03 feet, what is the uncertainty in the average of the 3 measurements? 312.33 7. A line Di to D is measured in three parts: D.to D2, D to D, and D to D (see figure below). The lengths of the three parts are then added to find the distance from D, to D,. Each measurement has an uncertainty of ±0.03 feet. The measued distances in feet) are D, to D,-150.00 D2 to D3 211.14 D3 to D4 = 365.43 What is the distance from D, to D: and what is its uncertainty?