1. (07.01 MC) Find a general solution to the differential equation dy dx V4-X2 (1 point) O y = 4tan '(* ) + C, O y = 4tan "(")+ C, O y= 4sin '()+C, O y= 4sin '(#)+C, 2. (07.01 MC) What is a possible solution to 2yy ' = 12xy - 2ysinx? (1 point) 1. y = 3x2 + cosx + 2 Il. y = 3x2 + cosx - 1 Ill. y = 3x2 - cosx + 2 Oil and III I only O Il only O l and II3. (07.01 MC) Which order of steps adequately verifies that y2 = 2x - 1 is a solution to y y = 1? (1 point) Step 1: dy dx y Step 2: 2yx dy = 2 Step 3: (2y)- = 2 Step 4: 2 = 2 1, 2, 4, 3 2, 1, 3, 4 1, 2, 3, 4 O 2, 1, 4, 3 4. (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 equations" = 3t for 0 s ts 15? (1 point) During the first 15 minutes of flight, the plane's velocity is directly proportional to time. O During the first 15 minutes of flight, the plane's acceleration is directly proportional to time. The rate of change of the acceleration of the plane changes directly proportional to time in the first 15 minutes. O The rate of change of the position of the plane changes directly proportional to time in the first 15 minutes.5. (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 a 0, write a differential equation that models the situation. (1 point)