In the "simple pendulum" experiment the period T was related to the length L and the gravitational constant g via T = 2T 1. Using error propagation rules, write an algebraic equation for the uncertainty &T of the period T in Eq. (8), as a function of T. L. g and the errors 6L and g of the length and gravitational constant, respectively. ST= 2. Substitute the following data into your formula for 6T, so that we can tell exactly what you have done. Calculate the numerical value for 6T. Show all work and put the final answer here. L = (2.000.05) m. g=(9.81 0.02) m/s (8) 3. Now assume that you obtained the following data for the simple pendulum length L (m) period 7 (s) 0.22 0.37 0.82 1.15 2.40 0.94 1.24 1.83 2.13 3.11 Plot the period T vs. length L on log-log paper. Be sure to properly label your graph. Determine and discuss the slope of the graph.