Chapter 13 - Vector Functions - 13.1 Exercises - Page 870: 13

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Parametric equations: $\left\{\begin{array}{l} x=t^{2}\\ y=t^{4}\\ z=t^{6} \end{array}\right.$ Build a table of values for t: -2,-1, 0, ... and calculate the coordinates and plot the points. The arrow shows the direction of t increase. The curve is in the 1st octant, as all coordinates are nonnegative. The arrows show the direction of increasing t.