## Math Problem Statement

A circle C in the plane xplusypluszequals0 has a radius of 5 and center left parenthesis negative 2 comma 1 comma 1 right parenthesis. Evaluate Contour integral Subscript Upper C Superscript Baseline Bold Upper F times d Bold r for Bold Upper Fequalsleft angle 0 comma negative 3 z comma negative 2 y right angle, where C has counterclockwise orientation when viewed from above. Does the circulation depend on the radius of the circle? Does it depend on the location of the center of the circle?

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Vector Calculus

Stokes' Theorem

Surface Integrals

Curl of a Vector Field

### Formulas

Stokes' Theorem

Curl of a Vector Field in Cartesian Coordinates

### Theorems

Stokes' Theorem

### Suitable Grade Level

Advanced College

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