Evaluate the integral of the function f(x, y) = 4 along the circle of radius 2 oriented clock-wise whose parametrization is given by r(t) = (2 cos 0, 2 sin 0), 0 E [0, 27] (2 decimals is ok) Type your answer.
Evaluate the integral of the function f(x, y) = 4 along the circle of radius 2 oriented clock-wise whose parametrization is given by r(t) = (2 cos 0, 2 sin 0), 0 E [0, 27] (2 decimals is ok) Type your answer.
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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![Evaluate the integral of the function f (x, y) = 4 along the circle of radius 2 oriented clock-wise whose parametrization is given by
r(t) = (2 cos 0, 2 sin 0), 0 E [0, 27]
(2 decimals is ok)
Type your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83b97d9f-eac5-4c59-98f4-44d1d3519004%2F1bbc71e8-4392-4b85-9cf2-453ea2e3bcee%2F9k1bn6m_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the integral of the function f (x, y) = 4 along the circle of radius 2 oriented clock-wise whose parametrization is given by
r(t) = (2 cos 0, 2 sin 0), 0 E [0, 27]
(2 decimals is ok)
Type your answer.
Expert Solution

Step 1
Given that along the circle of radius 2 oriented clock wise whose parametrization is given by .
The objective is to find the integral for the function.
So
Now the integral can be rewritten as,
It is given that
Step by step
Solved in 2 steps

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