6. 7. 8. [-112.5 points] DETAILS SCALCET8 3.3.03S.Ml. A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 8 Sint), where t is in seconds and x is in centimeters. equ i m position (a) Find the velocity and acceleration at time t. a(t) (b) Find the position, velocity, and acceleration of the mass at time t In what direction is it moving at that time? Since O, the particle is moving to Need Help? = 2z/3. [-112.5 points] Find the limit. DETAILS lim sin(7x) Need Help? [-112.5 points] DETAILS SCALCET8 3.3.S09.xp. SCALCET8 3.3.0S1. Find the given derivative by finding the first few derivatives and observing the pattern that occurs. (sin(x)) dx90 Need Help?