a. The solution to a vibrating spring problem is x(t) = 3cos 8t – 7sin 8t. What is the amplitude of the spring’s motion? Show work. (10 pts) b. Write this spring’s motion as a single cosine function ( xt A t ( ) cos      ), showing the phase shift clearly. (Show the phase shift rounded to three decimal places.) Clearly state the identity that you are using to determine where the values of C1 and C2 go on the right triangle in your work. c. Now write this spring’s motion as a single sine function ( xt A t ( ) sin     ), showing the phase shift clearly. (Show the phase shift rounded to three decimal places.) Clearly state the identity that you are using to determine where the values of C1 and C2 go on the right triangle in your work.