For Exercises 1-4, use Green's Theorem to evaluate the given line integral around the curve C, traversed counterclockwise. • f (x² - y²) dx + 2xydy; C' is the boundary of R = {(x,y): 0≤x≤1, 2x² ≤ y ≤ 2x} Jc 2.x²y dx + 2xydy; C is the boundary of R = {(x, y): 0≤x≤1, x² ≤ y ≤x} Jc 2ydx-3xd y; C is the circle x² + y² = 1 (e²² + y²) dx + (e¹² + x²)dy; C is the boundary of the triangle with vertices (0,0), (4,0) JC and (0,4) 3. 4.
For Exercises 1-4, use Green's Theorem to evaluate the given line integral around the curve C, traversed counterclockwise. • f (x² - y²) dx + 2xydy; C' is the boundary of R = {(x,y): 0≤x≤1, 2x² ≤ y ≤ 2x} Jc 2.x²y dx + 2xydy; C is the boundary of R = {(x, y): 0≤x≤1, x² ≤ y ≤x} Jc 2ydx-3xd y; C is the circle x² + y² = 1 (e²² + y²) dx + (e¹² + x²)dy; C is the boundary of the triangle with vertices (0,0), (4,0) JC and (0,4) 3. 4.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
Related questions
Question
100%
![人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。
ありがとう
SOLVE STEP BY STEP IN DIGITAL FORMAT
DON'T USE CHATGPT
For Exercises 1-4, use Green's Theorem to evaluate the given line integral around the curve
C, traversed counterclockwise.
1.
f(x² - y²) dx + 2xydy; C is the boundary of R = {(x,y): 0≤x≤ 1, 2x² ≤ y ≤ 2x)
x³y dx + 2xydy; C is the boundary of R = {(x, y): 0 ≤x≤1, x² ≤ y ≤ x}
$²
2ydx-3xd y; C is the circle x² + y² = 1
2.
3.
4.
·f (ex² + y²) dx + (e¹² + x³)dy; C is the boundary of the triangle with vertices (0,0), (4,0)
and (0,4)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F251e9782-707b-4c26-8aa9-2e550dc349f7%2F408d35ac-65e9-4b17-923d-6a3b17ea154a%2Fmpb8hni_processed.jpeg&w=3840&q=75)
Transcribed Image Text:人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。
ありがとう
SOLVE STEP BY STEP IN DIGITAL FORMAT
DON'T USE CHATGPT
For Exercises 1-4, use Green's Theorem to evaluate the given line integral around the curve
C, traversed counterclockwise.
1.
f(x² - y²) dx + 2xydy; C is the boundary of R = {(x,y): 0≤x≤ 1, 2x² ≤ y ≤ 2x)
x³y dx + 2xydy; C is the boundary of R = {(x, y): 0 ≤x≤1, x² ≤ y ≤ x}
$²
2ydx-3xd y; C is the circle x² + y² = 1
2.
3.
4.
·f (ex² + y²) dx + (e¹² + x³)dy; C is the boundary of the triangle with vertices (0,0), (4,0)
and (0,4)
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