Suppose that an object moves in simple harmonic motion with displacement of {in centimeters) at time I (in seconds). Given that d- 3+1: cos 3 , determine the following. {a} Amplitude {b} Period (c) Frequency {d} Phase shift (e) Least positive value of: for which 5!: 0. Express numbers in simplest form. \fIdentify the equation as representing a circle, an ellipse, a hyperbole, or a parabola. {ac2)2 _ on)? =1 64 36 - If the equation represents a circle, identify the center and radius. - If the equation represents an ellipse, identify,f the center, vertioes, endpoints of the minor axis, foci, and eccentricity. - If the equation represents a hyperbola, identify the oenter, vertices, foci, equations of the asymptotes, and ecoentricity. - If the equation represents a parabola, icienla'fyr the vertex, focus, equation of the directrix, and equation of the axis of symmetry