Determine whether the given function is a solution to the given differential equation.
1. x = 2 cos t - 3 sin t, x" + x = 0
2. y = sin x + x^2, d^2y/dx^2 + y = x^2 + 2
3. x = cos 2t, dx/dt + tx = sin 2t

Bob’s bank charges him a $3.15 service fee every time he uses an out-of-network atm. if bob uses an out-of-network atm an average of three times every two weeks, how much will he pay in service fees over the course of a year? a. $327.60 b. $109.20 c. $491.40 d. $245.70 select the best answer from the choices provided a b c d

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

For the following geometric sequence, find the recursive formula. {-80, 20, -5, } i need : ')