Abstract
1. 1. An exact, explicit quartic solution to the energy budget can be used to calculate the operative temperature, the surface temperature of a wet organism, and the metabolic rate. 2. 2. All of the approximations and iteration methods arrive at solutions close to the proper root and do not converge around the other three physically unrealistic roots. 3. 3. A second-order Taylor approximation is satisfactory, but the first-order Taylor approximation is not. 4. 4. A new simple 4th order polynomial is introduced to estimate the saturated vapor pressure function. 5. 5. Partial differential analysis is used to show the errors associated with the use of mounts and mount analogs.
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