Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (In x)5 U Y = usThe displacement from equilibrium of an object in harmonic motion on the end of a spring is given below, where y is measured in feet and r is the time in seconds. Determine the position y(t) and velocity v(t) of the object when t = arr/10. y = % cos(15t) l sin(15t) 4 mm) = E t me) = S We Consider the following. x2+y2=64 (a) Find two explicit functions by solving the equation for y in terms of X. Y1 : (positive function) X y2 : (negative function) X (b) Sketch the graph of the equation and label the parts given by the corresponding explicit functions. Y Y O (c) Differentiate the explicit functions. dd x =+ y/X _ 1