Aspring is stretched 10 cm by a force of 3 newtons. a mass of 2kg is hung from the spring and is also attached to a damper that exerts a force of 3 newtons when the velocity of the mass is 5 m/sec. if the mass is pulled down 5 cm below its equilibrium position and given a downward velocity of 10 cm/sec, determine its position at any time express your answer as a single trigonometric function . g

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)