Solve the Problem

question 164

Essay

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

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Definitions:

Expression

A combination of symbols, constants, and operators organized following specific syntactical rules to perform operations or evaluations in programming and databases.

Check Box

A user interface element that allows the user to make a binary choice, typically represented as a square box that is checked or unchecked.

Text Box Controls

Interface elements in software development that allow users to input text data into an application or website.

Command Button Wizard

A tool in software development environments that guides users through the creation of command buttons, including their functions and linked procedures.