Question 1(Multiple Choice Worth 1 points) (07.01 MC) Which order of steps adequately verifies that y = 2x - 1 is a solution to y- dy = 1? Step 1: dx y Step 2: 2y dx dy = 2 Step 3: (2y)- = 2 Step 4: 2 = 2 O 1, 2, 3, 4 O 1, 2, 4, 3 O 2, 1, 3, 4 O 2, 1, 4, 3Question 2(Multiple Choice Worth 1 points) (07.01 MC) What is a possible solution to 2yy ' = 12xy - 2ysinx? I. y = 3x2 + cosx + 2 Il. y = 3x2 + cosx - 1 Ill. y = 3x2 - cosx + 2 OI only O ll only O I and II O ll and IllQuestion 3(Multiple Choice Worth 1 points) [E] (07.01 MC) A heat source is removed from a thermal tile, causing the temperature to drop. If the rate of change of the temperature T of a thermal tile is inversely proportional the square root of time t, where t 2 0. write a differential equation that models the situation. Question 4(Multiple Choice Worth 1 points) (07.01 MC) dy 4 Find a general solution to the differential equation dx V4-X2 O y = 4 sin '()+C, O y = 4 sin 1(*)+C, O y = 4tan '( * ) + C, O y = 4tan "(*)+C,Question 5(Multiple Choice Worth 1 points) 1:: (07.01 MC) The position of a plane in motion is given by s(t), where t is measured in minutes. What relationship of the plane's flight is modeled by the differential equation 3" = St for 0 sts15? 0 During the first 15 minutes of flight, the plane's velocity is directly proportional to time. 0 During the first 15 minutes of flight, the plane's acceleration is directly proportional to time. Q The rate of change of the position of the plane changes directly proportional to time in the first 15 minutes. 0 The rate of change of the acceleration of the plane changes directly proportional to time in the first 15 minutes