10 Calculus Questions

1.

A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 4 cos(t), where t is in seconds and x is in centimeters. equilibrium position (a) Find the velocity and acceleration at time t. V(t) = a(t) = (b) Find the position, velocity, and acceleration of the mass at time t = 5x/6. x. al In what direction is it moving at that time? Since v(57 ) 2 0, the mass is moving to th ---Select--- left Need Help? Watch It Master It right119 dx 119 (sin(x) ) Find the given derivative by finding the first few derivatives and observing the pattern that occurs.Find an equation of the tangent line to the curve at the given point. y = seC(X). (x16. 2v'3/3)