Chapter 11.3, Problem 80E

Find the parametric equations for the path of a particle that travels three quarters of the way around the circle (x+2)2 + y2 = 9 starting at (-2, 3) and moving clockwise.

Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1 and the paraboloid x2 + (y - 2)2 = z.

A bee fles around a room at an altitude of 2= 2.3 meters making circles, so that its r coordinate varies from 1.3 to 1.9 meters, and its y coordinate varies from 2.2 to 2.8 meters. The bee completes one circle every 2.3 seconds. At sime=0 seconds, the bee's y coordinate is 2.8 meters and its velocity vector is completely in the +i direction. Write parametric equations to describe the motion of the bee z(t)= sin(2p/23)+22 y(t) =30(2pit2:3)+1.9 z(t) = 23