APLICACIONES DE ECUACIONES DIFERENCIALES A PROBLEMAS FISICOS Help ;( una masa unitaria se encuentra sujeta al extremo libre de un resorte k=4 inicialmente la masa se encuentra en reposo en su posicion de equilibrio. Comenzando en t=0, se aplica una fuerza f(t)=cos2t, pero en el instante t=2pi esta fuerza cesa abrutamente, permitiendose que la masa continue su movimiento sin impedimentos. Encuentre la funcion de posicion resultante para la masa

Stephen thublin invests $1,000,000 in a 45-day certificate of deposit with 6.55% interest. what is the total interest income from the investment?

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?

1. according to the internal revenue service, the mean tax refund for the year 2007 was $2,708. assume the standard deviation is $650 and that the amounts refunded follow a normal probability distribution. a. what percent of the refunds are more than $3,000? b. what percent of the refunds are more than $3,000 but less than $4,000? c. what percent of the refunds are less than $2,000?