Et r be the size of a population of rabbits, and s the population of sheep in the same area. the lotka–volterra competition model for these species might look like the following: r = 24r − 2r^2 − 3rss = 15s − s^2 − 3rsa) plot the nullclines of this system. b) use the nullclines and/or algebra to find the equilibrium points of the system. c) sketch the direction of the change vectors along each nullcline. then, fill in the change vectors in the rest of the vector field. d) use your sketch of the vector field to determine the type of each equilibrium point. e) how many stable equilibrium points are there? draw a rough estimate of the basin of attraction of each one. based on this, what one-word description could you give to this system?

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|