Question 1(Multiple Choice Worth 10 points) (07.01 MC) Select the general solution to x dy y dx 2+3y I. 2Inly| + 3y = In|x| + C 1 Il. -In 2 + 3y = In/x/+ C 3 y OI O II O Both O NeitherQuestion 2(Multiple Choice Worth 10 points) (07.07 MC) The number of guests at a theme park can be modeled by function P(t) where t is measured in hours. P is a solution to the logistic differential equation *3 P P2 . where P(0) = 2,500. What is the greatest rate of change of the number of guests at the park, per hour? d480000 l O 511 guests per hour I O 938 guests per hour I 0 2,500 guests per hour I 0 7,500 guests per hour Question 3(Multiple Choice Worth 10 points) (07.02 MC) Based on the graph of the general solution to the differential equation % = 2x- 2y. which of the following statements is true? I O The slopes along the y-axis are horizontal. l O The slopes along the x-axis are horizontal. l O The slopes are all positive in Quadrant 4. l O The slopes are all positive in Quadrant 1. Question 4(Multiple Choice Worth 10 points) (07.05 MC) What is the general solution to the differential equation dy = xy + 3x? dx O dy _y+3 dx 1-x O x2 y =e2 -3+C Oy=e 3x+C O C y =e2 - 3Question 5(Multiple Choice Worth 10 points) [1: (07.05 MC) Let y = f(x) be the particular solution to the differential equation % = 4):)". with the initial condition f(1) = 1. Which of the following gives an expression for f(x) and the domain for which the solution is valid? O {00: 3x21 2 for (...,J%) and (g...) Of = 1 f _.._ d .. (x) \"2-2 or( . J5) an (J5. ) O; h, 1 f _.._J d J2\" (X) 3x2-2 r( . 3W" (3.) O {00: _ 1 for (4,5) and (J5...) 3x2-2