Q E$3-01$: Andrade's equation has been proposed as a model of the effect of temperature on viscosity

$=D{e}^{\frac{B}{T}}$

where $=$ dynamic viscosity of water $({10}^{-3}(N)\frac{s}{m^2}),T=$ absolute temperature $(K),$ and $D$ and $B$ are parameters. Fit this model to the data for water and find values of the parameters. Based on the model, what is the value of $$ at a temperature of $25K?$

$\backslash$table$[[T,0,5,10,20,30,40],[,1\mathrm{.}787,1\mathrm{.}519,1\mathrm{.}307,1\mathrm{.}002,0\mathrm{.}7975,0\mathrm{.}6529]]$

$($a$)$ What is the engineering problem? $(3)$

$($b$)$ What is the mathematical problem? Convert into a linear regression model. $(4)$

$($c$)$ Describe a numerical method to solve this problem? Describe the matrix equation. $(5)$

$($d$)$ Write and run Octave code to find the answer. $(15)$

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$($e$)$ Write your engineering answer for a client. $(3)$