How would you solve these?

1. A 1000 L tank is draining such that the volume V of water remaining in the tank after t minutes is V = 1000 1- 60 Find the rate at which the water is flowing out of the tank after 10 min. 2. When a certain object is placed in an oven at 540 C, its temperature T(t) rises according to the equation T(t) = 540(1 - e^-0.1t), where t is the elapsed time (in minutes). What is the temperature after 10 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 Windsor, Ontario will experience in 2007 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 Windsor 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? d. Verify this fact using the derivative. e. What is the maximum amount of daylight Windsor receives? f. What is the least amount of daylight Windsor receives? 4. The following table indicates a number of households (in thousands) with a total income under $20,000 or over $100,000. 2000 2001 2003 2003 2004 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 Curve Expert to help you model each of the two income segments with an appropriate function. b. Which segment of the population is changing more quickly in 2004? 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