11. At any point of intersection of a solution curve of the differential equation y' = y - x and the line x - y = 0, the function y at that point A. is a local minimum B. is a local maximum C. has a point of inflection D. has a discontinuity 12. The solution curve of y' = y that passes through the point (2, 4) is A. y= * + 2 B. y= ex - (6* + 2) C. y = 0.541gz D. =- 13. Solve the equation g'(x) = -4g(x) and g(2) = 1 A. g(x) = =8x B. g(x) = #-41 C. g(x) = -86-4x D. g(x) = 20"z 14. The habitat of sea urchins in a Pacific tidal pool can support a maximum of n urchins. The habitat's population, p, grows proportionally to the product of the current population and the difference between n and p. Which equation describes the relationship? A = kp(m-P) B. C. = D. P = kn(n - P) 15. If= = ey and y = 0 when x = 1, then A y = In|2 - x] B. y = - In/x - 21 C. By=x-2 D. 6 y =2-x16. The slope field shown at right satisfies the differential equation A. y' = 2x B. y' =x+2 C. y' =2-x D. y'= -x2 The slope fields shown below are for Questions 17 - 22. Each view window is given. IIL. [-5,51 x [-5,5] [-5,5] x [-5,5] [-4,4] x [-4,4] V. VI. [-5,51 x [-5,5) [-5,5] x [-5,5] [-4,4] x[-4,4] 17. Which slope field satisfies the differential equation = = A. I. B. II. C. III. D. IV.18. Which slope field satisfies the differential equation = = sin x ? A. II. B. III. C. IV. D. V. 19. Which slope field satisfies the differential equation = =1+y? ? A. II. B. III. C. IV. D. V. 20. Which slope field satisfies the differential equation = = -xy? A. L. B. II. C. IIL D. IV. 21. Which slope field satisfies the differential equation = = vx + 3? A. III. B. IV. C. V. D. VI. 22. Which slope field satisfies the differential equation = = x - y? A. III. B. IV. C. V. D. VI