4. A Multivariable Function Model The rate of heat loss H (in watts) in harbor seal pups with a body core temperature of 37.8C has been approximated by the function 15.2m0'67(37.8 A) 10.23 ln(m) 10.74 where m is the body mass of the pup (in kg) and A is the ambient water temperature (both in DC). H(m,A) = (a) What is the domain of the function H ('m1 A) (without considering the context)? In other words, for what values of A, m is the function dened? (Optional: What do you think the \"real-world\" domain is, the values of Am that make sense in context of harbor seal pups?) (b) What is the rate of heat loss of a pup weighing 10 kg, with a body temperature of 378C swimming in water which is 4C ? (c) Now suppose we consider a pup with body core temperature of 378C and mass of 10 kg. What is the average rate of change of II when the temperature goes from 4C to 9C 7 Include units. Does the sign of your answer make sense for the context? ((1) Now suppose we consider a pup with body core temperature of 37.8C swimming in water which is 4C? What is the average rate of change of H when the pup weight goes from 10 kg to 12 kg? Include units. Does the sign of your answer make sense for the context? (Source: Modied from Calculus with Applications, Lial, Greenwall, Ritchey, 9.1 #40. Example temperatures found here: httpszl/story'maps. arcgis . com/stories/531e22ca8f2c4f70a5b26e415d1bfdce)