1. Brent is driving west at 60 km/h and Aaron is driving south at 70 km/h. Both cars are approaching the intersection of the two roads. At what rate is the distance between the cars decreasing when Brent's car is 0.4 km and Aaron's is 0.3 km from the intersection? (Explain)
2. A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2m and diameter 5 m at the top. Water is being pumped into the tank at a rate of1.2m^3/min. Find the rate at which the water level is rising when there is 8 m^3of water. (Explain)
3. Determine the equations of two lines that pass through the point (-1,-3) and are tangent to the graph of y = x^2 + 1 . (Explain)