Suppose that the path x(t) = (sin 2t, 2 cos 2t,sin 2t 2) describes the position of the
Chapter 3, Problem 37(choose chapter or problem)
Suppose that the path x(t) = (sin 2t, 2 cos 2t,sin 2t 2) describes the position of the Starship Inertia at time t. (a) Lt. Commander Agnes notices that the ship is tracing a closed loop. What is the length of this loop? (b) Ensign Egbert reports that the Inertias path is actually a flow line of the Martian vector field F(x, y,z) = yi 2xj + yk, but he omitted a constant factor when he entered this information in his log. Help him set things right by finding the correct vector field.
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