A Particle Is Moving in a Velocity Field $\mathrm { V } ( x , y , z ) = 2 y \mathbf { i } + 3 x ^ { 2 } \mathbf { j } + ( z - 3 x ) \mathbf { k }$

Short Answer

A particle is moving in a velocity field $\mathrm { V } ( x , y , z ) = 2 y \mathbf { i } + 3 x ^ { 2 } \mathbf { j } + ( z - 3 x ) \mathbf { k }$ At time t = 1 the particle is located at the point (1, 5, 5).
a). What is the velocity of the particle at t = 1?
b). What is the approximate location of the particle at t = 1.01?