Answer to Question #59205 in Differential Equations for RITA

Question

1 Given that A=sinti+costj+ tk, evaluate ∣d^2A/dt^2∣
2 A particle moves along a curve whose parameter equations are x=e^−t, y=2cos3t, z=2sin3t. Find the magnitude of the acceleration at t=0
3 A particle moves along the curve x=2t^2, y=t^2−4t and z=3t−5,where t is the time. Find the components of the velocity at t=1 in the direction i−3j+2k
4 Determine the unit tangent at the point where t=2 on the curve x= t^2+1,y= 4t−3 and z=2t^2−6t
5 If A=5t^2+tj−t^3k and B=sinti−costj. evaluate d/dt (A⋅B)