Problem #2: The population of Doombats in the fantasy land of NeverNever is decreasing exponentially due to an excess of [2 marks] hope & joy! It is noticed that over every 40 week period the number of Doombats shrinks to = of what it was. Currently the population is at 100,000 Doombats. How many weeks from now will the population be at 10,000? Round your answer to the nearest week. Problem #2: Save Problem #3: Find the family of curves orthogonal to the family 2y + 7x- = k when x > 0 andy > 0. [2 marks] (A) y = Ce */2 (B) y2 + Cx' = 0 (C) y = Cx2/7 (D) 7y> - 2x2 = C (E) y = (7/2)x+ C Problem #3: Select v Save Problem #4: Given f(x) has the Taylor series: [2 marks] 2 . 272 1=0 (2n)! (x - 3)" evaluate f(3)(3). Problem #4: Enter your answer symbolically, as in these examples