Aforced spring-mass system satisfies the ivpx′′+ 3x′+kx= sin(t), x(0) = 0, x′(0) = 0.find the minimum value of the spring constantksuch that the steady-state solution nevergoes above 0.1 meters. (that is, for large values oftthe mass oscillates no more than 0.1meters to either side of its equilibrium position.)

Find the perimeter of the figure shown above. a. 18 yds c. 20 yds b. 10 yds d. 24 yds select the best answer from the choices provided

Which of the following three dimensional figures has a circle as it’s base

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?