Find SF. dr where C is a circle of radius 3 in the plane x + y + z = 7, centered at (4,4,-1) and oriented clockwise when viewed from the origin, if F = 5yi − 3xj + 3(y – x)k - ScF. dr =
Find SF. dr where C is a circle of radius 3 in the plane x + y + z = 7, centered at (4,4,-1) and oriented clockwise when viewed from the origin, if F = 5yi − 3xj + 3(y – x)k - ScF. dr =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find \(\int_C \vec{F} \cdot d\vec{r}\) where \(C\) is a circle of radius 3 in the plane \(x + y + z = 7\), centered at \((4, 4, -1)\) and oriented clockwise when viewed from the origin, if
\[
\vec{F} = 5y\vec{i} - 3x\vec{j} + 3(y - x)\vec{k}
\]
\[
\int_C \vec{F} \cdot d\vec{r} = \boxed{}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49444d66-96b7-45b8-992f-0f6c51b0e4d0%2F996c345a-d38b-470c-a477-c8f657677805%2Fyjxui0r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find \(\int_C \vec{F} \cdot d\vec{r}\) where \(C\) is a circle of radius 3 in the plane \(x + y + z = 7\), centered at \((4, 4, -1)\) and oriented clockwise when viewed from the origin, if
\[
\vec{F} = 5y\vec{i} - 3x\vec{j} + 3(y - x)\vec{k}
\]
\[
\int_C \vec{F} \cdot d\vec{r} = \boxed{}
\]
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