Use Stokes' Theorem to Calculate the Circulation of the Field

question 73

Multiple Choice

Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.
- $$\mathbf { F } = - 3 \mathrm { y } \mathbf { i } + 5 \mathrm { x } \mathbf { j } + 6 \mathrm { z } ^ { 3 } \mathbf { k } ; \mathrm { C } : \text { the portion of the plane } 8 x + 5 y + 8 z = 10 \text { in the first quadrant }$$

• A) 8
• B) - 10
• C) 10
• D) 0

---

Definitions:

Diffusion of Innovation

The process by which a new idea, product, or behavior spreads through a population or social system over time.

High-rise Jeans

A style of jeans that has a waistband sitting high on or above the natural waist, typically considered to provide a more flattering fit.

Marketplace

A marketplace is a physical or digital platform where buyers and sellers interact to exchange goods and services.

Early Adopter

An individual or business who uses or adopts new products, innovations, or technologies before the majority of people do.