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Q. 1

Found in: Page 774


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Sketching parametric equations: Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.

1. x=t2, y=t3, t-2,2.

The required graph is as follows,

The direction of the curve is upward.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

The equations are x=t2 and y=t3 such that t-2,2.

Step 2. Explanation.

Using equations, make a table that contains the coordinates of several points on the curve.


Step 3. Find the direction.

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 , dxdt>0 so curve is increasing.

Step 4. The graph.

The graph is as follows.

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