2. The plane z = x +4 and the cylinder x² + y² = 4 intersect in a curve C. Suppose C is oriented counterclockwise when viewed from above. Let F = (x³ + 2y, (sin y) +z,x+ sin(2²)). Evaluate the line integral fF.dr.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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2. The plane z = x + 4 and the cylinder x² + y² = 4 intersect in a curve C. Suppose C is oriented
counterclockwise when viewed from above. Let F = (x³ + 2y, (sin y) + z, x+ sin(z²)). Evaluate the
line integral F. dr.
Transcribed Image Text:2. The plane z = x + 4 and the cylinder x² + y² = 4 intersect in a curve C. Suppose C is oriented counterclockwise when viewed from above. Let F = (x³ + 2y, (sin y) + z, x+ sin(z²)). Evaluate the line integral F. dr.
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