Q 1: A formula for the red cell volume (RCV) in mm for males is

RCV=1486S² - 4106S +4514 as given by Hurley, where S is the surface area in m². A formula given by Pearson et al. is RCV =1486S - 825.

1. Verify that these two formulas never give the same answer by using two different methods: (i) using the quadratic formula (set this up in such a way and how the quadratic formula becomes useful), and (ii) using a graph (program like Desmos, or graphing software etc.) make sure to choose a domain that makes sense
2. The formula for plasma volume for females given by Hurley is PV =1278S^1.289, while the formula given by Pearson et al. is PV =1395S, where PV is measured in mm and S in m². Find the values of S for which these two formulas give the same answer.

Q 2: For example, population of 17,000 fish in a large lake has grown exponentially to 23,000 in 4 years.

1. Write an exponential equation to express the population growth y in terms of time t in years.
2. At this rate, how long will it take for the population to exceed 54,000?