Solution Found!
Answer: Circles and arcs Eliminate the parameter to find a
Chapter 8, Problem 17E(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.
\(x=-7 \cos 2t,\ y=-7 \sin 2t;\ 0\ \leq\ t\ \leq\ \pi\)
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.
\(x=-7 \cos 2t,\ y=-7 \sin 2t;\ 0\ \leq\ t\ \leq\ \pi\)
ANSWER:Solution 17EStep 1:Here 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 similar to the circle of radius 7. Now suppose we plug in these parametric equations to we get(since Thus This is a circle of radius 7, centered at (0, 0).