Sketching parametric equations: Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.
1. , , .
The required graph is as follows,
The direction of the curve is upward.
The equations are and such that .
Using equations, make a table that contains the coordinates of several points on the curve.
Find derivatives of the parametric equations to check the direction of motion along the parametric curve with increasing values of t.
For all values of t , so curve is increasing.
The graph is as follows.
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