by te . plot sin x and r versus r for OsS 1. For the second plo SI. Howl ximatioh Investigate the accuracy of this appro the fi S I. For the thite must a he eror (sinr) -x/sinr) versus x for 0 s You can use the rejatnation error sin r-x versus for O s e relative e the approximation to be accurate within 5 percent? trigonometric identities to simplify the equations that 11. ng both the left and the right sides versus a over the range 0 s x he complex number identity ei - cosx+ i sin x is often used to conv many applications. Confirm the identity tan(2x) 2 tan/1 he solut firm for both ons of equations into a form that is relatively easy to visuali this identity by plotting the imaginary part versus the real par the left and right sides over the range 0 s x 3 2r Con 13. Use a plot over S5 to confirm that sin(ix)- i sinh .x 0 ". The function y()-1-e-r, where t is time and b>0, describes many pro- cesses, such as the height of liquid in a tank as it is being filled and the tem- perature of an object being heated. Investigate the effect of the parameter b on y(0). To do this, plot y versus t for several values of b on the same plot. How long will it take for y() to reach 98 percent of its steady-state value? The following functions describe the oscillations in electric circuits and the vibrations of machines and structures. Plot these functions on the same plot. Because they are similar, decide how best to plot and label 15. them to avoid confusion. x() 10e5 sin(3t + 2) y(t) = 7 e-04, cos(5t-3 ) In certain kinds of structural vibrations, a periodic force acting on the structure will cause the vibration amplitude to repeatedly increase and decrease with time. This phenomenon, called beating, also occurs in mu 16. sical sounds. A particular structure's displacement is des y(t) = 2-2 [cos(15. t)-cos (fi t)