Solution Found!
Circles and arcs Eliminate the parameter to find a
Chapter 8, Problem 15E(choose chapter or problem)
Eliminate the parameter to find a description of the following circles or circular arcs in terms of x and y. Give the center and radius, and indicate the positive orientation.
\(x=3 \cos t,\ y=3 \sin t;\ \pi\ \leq\ t\ \leq\ 2\pi\)
Questions & Answers
QUESTION:
Eliminate the parameter to find a description of the following circles or circular arcs in terms of x and y. Give the center and radius, and indicate the positive orientation.
\(x=3 \cos t,\ y=3 \sin t;\ \pi\ \leq\ t\ \leq\ 2\pi\)
ANSWER:Solution 15EStep 1:In this problem we have to eliminate the parameter o find a description of the following circles or circular arcs in terms of x and y.Given This is very similar to the circle of radius 3. Now suppose we plug in these parametric equations to we get(since Thus This is a circle of radius 3, centered at (0, 0).