(4 marks) a. y = = Vx2-3x 2x2+4x-1 (4 marks) b. y = (x4 + 3)e x2-2x (4 marks) c. S = In(tan x2) + tan(In x2) (4 marks) d. g = sec ) (4 marks) e. f = (x4 + 3) In(2-2x) [8 marks] 2. If a tank holds 50,000 litres of water which drains from the bottom of the tank in 40 minutes, then the volume of water, V, which remains in the tank after t minutes is given by V(t) = 50000(1 - [) 2 Osts 40 (4 marks) a. Find the rate at which water is draining from the tank after 10 minutes and after 20 minutes. (4 marks) b. At what time is the water flowing the fastest? At which time is it flowing the slowest? [10 marks] 3. (6 marks) a. For the function f (x) = * at at which point(s) does the tangent line have a slope of -1? Give exact answers. TRU Open Learning A3-2 Assignment 3 (4 marks) b. Find an equation of the tangent line(s) at the point(s) in a. Give exact answers