Final answer:
The correct answer is option C. Complex analysis.
Step-by-step explanation:
The concept of a semi-infinite strip in the upper half of the z-plane relates to Complex Analysis, a branch of mathematics. In complex analysis, one frequently deals with integrals along paths in the complex plane, and a semi-infinite strip can be an example of such a path or region where functions are integrated or analyzed.
Understanding these concepts is crucial for solving complex problems in integral calculus, which involves calculating the area under a curve, represented by the integral of a function.
This is analogous to Figure 7.8, where integrating f(x) from x₁ to x₂ involves summing up infinitesimal areas such as f(x) dx, each represented by a vertical strip under the curve of the graph. Calculus as a whole, especially integral calculus, is essential in various engineering fields to solve problems that involve the mathematics of change.