Final answer:
To parametrize a contour with line segments and circular arcs, separate parametric equations should be used for each section, using linear functions for line segments and trigonometric functions for arcs, with parameters chosen to reflect the portions of the contour being represented.
Step-by-step explanation:
The student is asking how to parametrize a contour that includes two line segments and two circular arcs. To parametrize such a contour, one would typically break it down into sections—each line segment and circular arc can be described with a separate parametric equation. Line segments can be described with linear functions, where the parameter is typically chosen to run between 0 and 1 for convenience. Circular arcs on the other hand, can be described using trigonometric functions, with parameters typically running from the starting angle to the ending angle of the arc.
For example, suppose a line segment goes from point A to point B. The linear parametrization could be given by v(t) = A + t(B - A), where t varies from 0 to 1. For a circular arc with a specified radius, centered at a point C, starting at an angle theta1 and ending at an angle theta2, one might use the parametrization r(theta) = C + R(cos(theta), sin(theta)), where theta varies from theta1 to theta2 and R is the radius.
It's customary to proceed in the direction that is counterclockwise around the contour for positive orientation, but without more specifics about the points and directions mentioned in the question, more detailed parametrizations can't be provided.