" \\_ 1. Apply the Mean Value Theorem to f(x)==J-2x using the interval [0.4]. 2. For fo)= x3-3 calculate two iterations of Newton's Method to approximate a zero using x1=l.4 3. If the number of bankruptcies (in thousands) for the years 1991 through 2008 were to be as follows: 1991:345.8; 1992:347.9; 1993:354.7; 1994:328.9; 1995:344.1; 1996:435.5: 1997:500.8; 1998:588.3; 1999:633.2; 2000:713.7; 2001:868.9; 2002:950.2; 2003:901.1; 2004:837.5; 2005:860.1: 2006:1050.2; 2007:1322.B: 2008:1411.6 a) Use the regression capabilities of a graphing utility to find a model of the form B(t) = at4 + bt3 + ct2-+ dt + e for the data. (Let t = 1 represent 1991.) b) Use a graphing utility to plot the data and graph the model. c) Analytically find the minimum of the model and compare the result with the actual data