Part 1: Goal 10: Reduce Inequalities . "By 2030, empower and promote the social, economic and political inclusion of all, irrespective of age, sex, disability, race, ethnicity, origin, religion or economic or other status" Problem: A production company in Toronto has hired an actor who happens to be in a wheelchair, and will be moving over a track (that will be built on the stage) during the play. Some engineers are asked to help the production company analyze the rate of change of the height, h, of the wheelchair's movement on the track at time t. The following is the function that models the height of the actor moving along the track: h(t)=2/(0.3t+1) for 120 Answer the following questions to guide you to the final solution: Question 01: Differentiate h(t) using the definition of the derivative (limits). And then also try differentiate h(t) using differentiation rules. Show your work. Question 02: Algebraically determine the rate of change of the height of the wheelchair on the track at 4 seconds. Round your answer to the nearest thousandth. Show your work.Question 11: Use technology (eg: Desmos: https://www.desmos.com/calculator), and the derivative graphs of f(x) and g(x) to determine the month in 1980 and the month in 2019 with the fastest rates of melting of sea ice. How fast was the ice melting during each of these months? [Hint: what features of the 2nd derivative identify the highest or lowest rates?] Question 12: What can you summarize about your findings of the rates of change found above?Part 2: Goal 13: Climate Action "Integrate climate change measures into national policies, strategies and planning" Engineers are asked to analyze the trends in the arctic ice extent based on the data be Arctic Ice Extent 2012 Maion Squee Klampie Figure 1: Average monthly arctic ice extent with curve fits for 1980, 2012, and 2019. Problem: Some engineers are asked to determine the maximum and minimum ice extent, and when the highest rates of change occur each year, and how they compare. The following are the the fitted curves that model the data in the graph where f(x) represents the 1980 model, and g(x) represents the 2019 model: A(x)=11.4613+5.319x-2.4766x2+0.6540x3-0.1074x*+0.00874x-0.00026x" g(x)=7.9008+9.987x-5.796x-+1.682x3-0.262x*+0.0197x5-0.00055x6 Question 03: what is the derivative of f(x)? Show your work.Question 04: What is the derivative of g(x)? Show your work. Question 05: Using technology (eg: Desmos: https://www.desmos.com/calculator), determine the critical values of f(x) within the domain modelled in Figure 1, meaning from 0 to 1 1.Question 06: Using technology (eg: Desmos: https://www.desmos.com/calculator), determine the critical values of g(x) within the domain modelled in Figure 1, meaning from 1 to 1 1. Question 07: Fill in the blanks. Using your critical values from the above two, determine the maximum and minimum ice extent for 1980 and for 2019. (1980) f(x)max (x=2.553, y= ) M km2, min (x=8.478, y= ) M km2 (2019) g(x)max (2.071, ) min (8.437, Question 08: What are some differences between the maximum and minimum in 1980 and the maximum and minimum in 2019?Question 09: Determine the second derivative of f(x). Show your work. Question 10: Determine the second derivative of g(x). Show your work