Question

QUESTION 1 Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 36+ 2 y = 6t. Stse y=x2 1++++

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Answer 1

Here given that x = 36t”, y=6t for -o0<t<0. Then eliminating t we get, x = y2. We know that for any values of t, t 20 then x = 36tº > 0. Then the curve will be in the positive of x axis. And for – <t< we get, -<6t<>--<y<. Then the figure will be → Now since t varies from -o to too then y varies from -o to to. Then the direction of the curve is down to up. That is, the curve moves from bottom to top. That is the curve moves from fourth quadrant to first quadrant.

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