Homework SourseFind the parametric equation for the path consisting of the
Find the parametric equation for the path consisting of the line segment from P(-4,4)) to Q(0,8) followed by the part of the parbola y=8-2x^2 from Q(0,8) to R(2,0)
Solution
The parameterization is r(t) = r1(t) + r2(t) where r1(t) = (-4, 4)(1-t) + (0,8) t for 0 <= t <= 1 and r2(t) = ( t-1), 8-2(t-1)^2) for 1 <= t <= 3.
