Solve the Problem

question 164

Essay

Solve the problem.
- $$\text { For a surface parametrized in the parameters } u \text { and } v \text { and a force } \mathbf { F } \text {, show that } \int \mathbf { F } \cdot \mathbf { n } d \sigma = \int \mathbf { F } \cdot \left( \mathbf { r } _ { \mathbf { u } } \times \mathbf { r } _ { \mathbf { v } } \right) \text { dudv. }$$

---

Definitions:

Cognitive Development

The process involving growth and change in intellectual abilities such as thinking, reasoning, and problem solving.

Piaget

A rephrased definition: Known for his influential theory on the stages of cognitive development in children, emphasizing how they construct and understand the world.

Formal Operational

The formal operational stage is the fourth and final stage of Jean Piaget's theory of cognitive development, characterized by the ability to think abstractly and systematically solve problems.

Assimilation

The process by which individuals or groups of differing ethnic heritage are absorbed into the dominant culture of a society.