9 vertices (0, 0), (,0) and (l, l). (a) Evaluate the integral 3. Let be Let C be the triangle with [a³y da - xy dy by direct calculation. Hint: You will need to evaluate three different line integrals. A diagram will be useful! (b) Now evaluate the integral a³y da - ry dy using Green's Theorem. (You should find this much easier!).
9 vertices (0, 0), (,0) and (l, l). (a) Evaluate the integral 3. Let be Let C be the triangle with [a³y da - xy dy by direct calculation. Hint: You will need to evaluate three different line integrals. A diagram will be useful! (b) Now evaluate the integral a³y da - ry dy using Green's Theorem. (You should find this much easier!).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
Related questions
Question
![3. Let be
vertices (0, 0), (l,0) and (l, l).
(a) Evaluate the integral
10²
x³y dx - xy dy by direct calculation.
Let C be the triangle with
Hint: You will need to evaluate three different line integrals. A diagram
will be useful!
(b) Now evaluate the integral
[a³y da - ry dy using Green's Theorem.
(You should find this much easier!).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38e693cf-3870-4eab-9920-bd211e6a8ee6%2F2170e627-076c-4800-8fc0-6bc7edb148f2%2Fxnaz65s_processed.png&w=3840&q=75)
Transcribed Image Text:3. Let be
vertices (0, 0), (l,0) and (l, l).
(a) Evaluate the integral
10²
x³y dx - xy dy by direct calculation.
Let C be the triangle with
Hint: You will need to evaluate three different line integrals. A diagram
will be useful!
(b) Now evaluate the integral
[a³y da - ry dy using Green's Theorem.
(You should find this much easier!).
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