Please just answer c-e. Please show all work! 5. For the following questions, use the following contour map of the function p(S, T) which describes seawater density inkilograms per cubic meter as a function of salinity (S) in parts per thousand, and temperature (T) in degrees Celsius.Temperature T (°C)Answers:2520151051.023014B1.02351.02401.02451.02501.02551.02601.02651.0270031.5 32.0 32.5 33.0 33.5 34.0 34.5Salinity (ppt)Rogawski et al., Calculus: Early Transcendentals, 4e, Ⓒ2019 W. H. Freeman and Company(a) Calculate the average rate of change of p with respect to T from B to A.(b) Calculate the average rate of change p with respect to S from B to C.(c) At a fixed level of salinity, is seawater density an increasing or decreasing function of temperature?(d) At a fixed temperature, is seawater density an increasing or decreasing function of salinity?(e) Which of the points, A or B, does water density appear to be more sensitive to a change in temperature?Explain how you know.

Answered: Image /qna-images/answer/d15a5c38-486d-47c2-8603-b4037b9ac5fe.jpg

5. For the following questions, use the following contour map of the function p(S, T) which describes seawater density in kilograms per cubic meter as a function of salinity (S) in parts per thousand, and temperature (T) in degrees Celsius. Temperature T (°C) 25 20 15 10 5 0 31.5 32.0 1.0230- 1.0235 1.0240 1.0245 1.0250 1.0255 1.0260 1.0265: 1.0270 B 32.5 33.0 33.5 34.0 Salinity (ppt) 34.5