Given That $\vec{G}=3 x^{2} \vec{i}+10 y^{4} \vec{j}$ Find a Function G So That

question 59

Short Answer

Given that $\vec{G}=3 x^{2} \vec{i}+10 y^{4} \vec{j}$ find a function g so that $\vec{G}=\operatorname{grad} g .$ Use the function g to compute $\int _ { C } \vec { G } \cdot d \vec { r }$ where C is a curve beginning at the point (2, 4)and ending at the point (0, 1).

---

Definitions:

Smaller Employers

Businesses or organizations with a lower number of employees, often having different management and operational needs than larger companies.

Expectancy Theory

A psychological theory that proposes that an individual will act in a certain way because they are motivated to select a specific behavior over other behaviors due to what they expect the outcome of that selected behavior will be.

Similar Job Class

Positions or roles within an organization that have comparable responsibilities, required skills, and qualifications.

Salaried Employees

Workers who are paid a fixed regular amount by their employer, typically on a monthly or biweekly basis, regardless of hours worked.