Show that푦=퐴sin(푘푡)+퐵cos(푘푡), is a solution to the differential equation푦′′=−푘2푦. Findconstants 퐴and 퐵that satisfy the initial conditions 푦(0)=20and 푦′(0)=0.

You and a friend race across a field to a fence and back. your friend has a 50-meter head start. the equations shown represent you and your friend's distances dd (in meters) from the fence tt seconds after the race begins. find the time at which you catch up to your friend. you: d=∣−5t+100∣d=∣−5t+100∣ your friend: d=∣−313t+50∣∣

Question 101 points)which equation in slope-intercept form represents the line that passes through (5, 1) and(-4,7)

Adifferent website gives the cost for the first train as £56.88 and the second train as £20.11 with a £9.50 charge for cycle storage for the whole trip. how much would the journey cost you?