3. By using Green's Theorem in the plane, evaluate | (y - sinx) dx + cos x dy where C is the anti-dockwise triangular curve with vertices at (0,0), (1/2,0) an (T/2,1). 4. Show that the area bounded by a simple closed curve C is given by 1 х dy — ydx Hence, calculate the area of the ellipse x = 2 cos 0, y = 3 sin 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Concept explainers
Question
Please need solution for number 3 and 4
3. By using Green's Theorem in the plane, evaluate
|(v - sinx) dx + cos x dy
where C is the anti-dockwise triangular curve with vertices at (0,0), (n/2,0) an
(T/2,1).
4. Show that the area bounded by a simple closed curve C is given by
1
x dy – ydx
2
Hence, calculate the area of the ellipse x = 2 cos 0, y = 3 sin 0.
Transcribed Image Text:3. By using Green's Theorem in the plane, evaluate |(v - sinx) dx + cos x dy where C is the anti-dockwise triangular curve with vertices at (0,0), (n/2,0) an (T/2,1). 4. Show that the area bounded by a simple closed curve C is given by 1 x dy – ydx 2 Hence, calculate the area of the ellipse x = 2 cos 0, y = 3 sin 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Fundamentals of Algebraic Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,