When mud dries, it shrinks as the water evaporates and cracks form as a result. You have been hired by the organizers of the local "Muddy Buddy" race, which uses mud in strategic locations throughout a race course, and tasked with estimating the time required for the water to evaporate and cracks to form in the mud. You discuss the problem with a recent engineering graduate, and they identified heat transport as the process that controls the rate of evaporation. Specifically, heat transport in the mud is calculated using: q1=LRT/t where t is the time, T is a temperature difference, is density, and the other variables are properties of the geometry of the mud and cracks. Heat transport is also important at the surface where the water is evaporating, and heat transport at this location is calculated using: q2=PT/L where P is a partial pressure difference. Cracks will begin forming in the mud at time t when q1=q2. You should develop a python code that uses sympy (the race organizers do not yet trust your algebra skills) to solve for the time, t, when cracks first form in terms of ,L,R,T, and P. Finally, you look up estimates for some of the variables in these equations and determine that LP10 for T given in C. Knowing this, generate a plot of q2 on the y-axis and T on the x-axis to look at the relationship between heat transport and the temperature difference. Think about what might be a reasonable range of temperature differences between the mud and the air. Summarize your findings, including an equation for the time, t, to crack formation and a plot of q2 vs. T in a memo to the Muddy Buddy race organizers. Include your code, which should use sympy, in the appendix