(Solved): thanks, solve quick Basic MATLAB script using ANY method you see fit! In water flow through pipes, t ...

Basic MATLAB script using ANY method you see fit! In water flow through pipes, there's resistance due to friction where the fluid "rubs" along the pipe walls. If you take the fluids course later, you'll learn the non-dimensional "friction factor" $$f$$ depends on another non-dimensional velocity parameter called the "Reynolds number" Re. For very smooth walls, experiments determined the relationship to approximate: $$\begin{array}{lll}\text{ - }& f=16/\mathrm{Re},& \text{ for }\mathrm{Re}?2100\\ \text{ - }& f=0.0791/\left({\mathrm{Re}}^{0.25}\right),& \text{ for }2100<\mathrm{Re}?10^5\\ f=0.004,& \text{ for }\mathrm{Re}>10^5& \end{array}$$ This looks confusing, so you want to visualize $$f$$ over a large range of Re using MATLAB, so ... Create a documented MATLAB function called FRICTION.m which does the following: - Make a vector Re with 51 logarithmically-spaced values between 100 and $$1,000,000(i.e,10^2$$ to $$10^6)$$. That means Re will be the vector $$\left[10^{\times 1}10^{\times 2}10^{\times 3}\dots 10^{\times 51}\right]$$ where $$x1,\times 2,\dots ,\times 51$$ are 51 linearly-spaced numbers between 2 and 6 inclusive. - Calculate the corresponding $$f$$ vector (one element for each element in Re). - Plot $${\log }_{10}($$ Re) on the $$x$$-axis against $$f$$ on the $$y$$-axis, connected with lines and circles. For example, use the following command: plot ( $$\log 10(\mathrm{Re}),{\mathrm{f}}^{?}$$ ' $$?0^{?})$$ Remember, when $$\mathrm{Re}=100$$ then $${\log }_{10}(\mathrm{Re})=2$$. When $$\mathrm{Re}=1,000,000$$ then $${\log }_{10}(\mathrm{Re})=6$$. - Titles the plot, labels the $$x$$ - and $$y$$-axis, and makes a pdf of the plot called Fplot. pdf.