Prepare: Linearization of Data You will use the results of this exercise in your lab this week. Both models for fluid resistance above are power laws, of the general form: (3) f (x) = Ax, where A and B are constants. The constants often have physical meaning that we experimentalists would like to extract. The process of linearization may allow us to do so more easily. In this lab, we'll apply just one of many methods of linearization: creating a log-log plot. One way to do this is to plot In[f (x)] vs. In (x). 1. Beginning with Eqn. 3, complete a derivation to show that In [f(x)] is linear with respect to In(x). To begin, take the natural log of both sides of the equations, then simplify. 2. In a log-log plot of Eqn. 3 (i.e., In[f (x)] on the vertical axis and In (x) on the horizontal axis), what would be the slope, in terms of A and/or B? What would be the y-intercept? 3. From your analysis of the falling coffee filter on the previous page, what will the slope of log-log plot for terminal velocity versus mass be if Eqn. (1) holds? Eqn. (2)? Explain