Exercise 1. Find a parametrization of the line that
1 (a). joins the
origin
to
the point
.
Solution 1 (a).
See text and/or instructor's solution manual.
![[Graphics:../Images/ComplexPlaneTopologyModHome_gr_3.gif]](../Images/ComplexPlaneTopologyModHome_gr_3.gif)
We are done.
Aside. We can let Mathematica double check our work.
![[Graphics:../Images/ComplexPlaneTopologyModHome_gr_4.gif]](../Images/ComplexPlaneTopologyModHome_gr_4.gif)
![[Graphics:../Images/ComplexPlaneTopologyModHome_gr_5.gif]](../Images/ComplexPlaneTopologyModHome_gr_5.gif)
The
line
, and
the initial point
is
and
the terminal point is
.
This solution is complements of the authors.
(c) 2008 John H. Mathews, Russell W. Howell