1. A 1000 L tank is draining such that the volume V of water remaining in the tank after t minutes is =1000/1--| Find the rate at which the water is flowing out of the tank after 8 min. 2. When a certain object is placed in an oven at 540'C, its temperature 7(t) rises according to the equation 7(t) = 540(1 - e-0.71), where t is the elapsed time (in minutes). What is the temperature after 9 minutes and how quickly is it rising at this time? 3. The amount of daylight a particular location on Earth receives on a given day of the year can be modelled by a sinusoidal function. The amount of daylight that Sarnia, Ontario will experience in 2018 can be modelled by the function - D(t) = 12.18 + 3.1 sin(0.017t- 1.376) , where t is the number of days since the start of the year. a. On January 1, how many hours of daylight does Sarnia receive? b. What would the slope of this curve represent? c. The summer solstice is the day on which the maximum amount of daylight will occur. On what day of the year would this occur? (Check this using Internet research (ie. Google search on "date of summer solstice"). d. Verify this fact using the derivative e. What is the maximum amount of daylight Sarnia receives? f. What is the least amount of daylight Sarnia receives? 4. The following table indicates a number of households (in thousands) with a total income under $20,000 or over $100,000. 2014 2015 2017 2018 2019 Under $20,000 625.03 591.76 595.05 586.30 566.98 Over $100,000 1,248.48 1,409.19 1,538.54 1,635.93 1,803.71 a. Use Desmos, Excel or Curve Expert to help you model each of the two income segments with an appropriate function. (state the polynomial equation that models this data and yields a strong r - value). b. Which segment of the population is changing more quickly in 2015? c. Are the results in this table sufficient to show that poverty is decreasing? What additional information would you like to know in order to make your conclusions