note: - scatter plot displays global temperature anomaly for each year from 1750 to 2017 (horizontal axis measured in years: 2017-1750=267).- baseline temp. for each year is dynamic as it's a rolling average temp. from 1750 till year of interest.- ^ for e.g. temperature anomaly for year 1995 is +0.73 meaning global temp. in 1995 is 0.75 degrees Celsius hotter than average over 1750 to 1995.Please help with answering the following calculus questions from this practise test.Thank you!

It Is customary to approximate the data within a scatterplot using a 'trendline'. The converting of the scattered points Into a uniform line allows for more extensive analysis and predictions. The trendline for the scatterplot below is a polynomial of degree 4 and has the formula: A(t) = (9x10 9)+5 - (4.89 x 10-6)13 + (9.03 x 10 ')12 - 0. 0606t + 0.62 Global Temperature Anomalies for the years 1750 - 2017 2.50 A(t) = (9x10 ')* - (4.89 x 10 5)1 + (9.03 x 10 )12 - 0.0606t + 0.62 2.00 1.50 1.00 0.50 0.00 Global Temperature Anomaly (C 0.50 -1.00 1.50 -2,00 -2.50 0 50 100 150 200 250 300 Time (Years since 1750) Questions: (20 marks total) 1) Determine the equation of the gradient function for the trend line. 2) Graph the trendline using desmos or other graphing software (you are not required to submit on image of the graph). Using the software, Identify: a. The coordinates of any turning points (2) b. The range of years for which the temperature anomaly is: 1. Increasing (1) li. Decreasing (1) Interpret the values calculated In Question 2. (3) 4) Use the equation of the trendline to calculate the average rate of change between the years 1750 - 1960. (2) 5) Use the equation of the trendline to calculate the average rate of change between the years 1960 -2017. (2) 6) Compare your results from Question 4 and Question 5. Interpret any differences and explain how this could be used as evidence for or against climate change. (2) 7) Predict the rate at which the global temperature will be changing in the year 2041 (20 years from now). (2) 8) In the scatterplot above, the data points from the earlier years (e.g. 1750-1800) are more erratic than the data points in later years (e.g. 1900- 1950). Explain mathematically why this would happen, and what implications, if any, it would have for the argument for or against climate change. (4)