A spring–mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of(3 cos 3t−2 sin 3t)N, determine the steady state response. Express your answer in the form R cos(ωt−δ).

2. explain in words how you plot the point (4, −2) in a rectangular coordinate system.

Adecibel is a logarithmic unit that can be used to measure the intensity of a sound. the function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity. the reference intensity is generally set at the threshold of hearing. use the graphing utility to graph the decibel function.a whisper has a sound intensity of 30 decibels. use your graph to you complete the following statement. the sound intensity of a whisper is times the reference intensity.

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two