A) Use Green's theorem to compute the area inside the = 1. 2² y² ellipse + 19² 14² Use the fact that the area can be written as
A) Use Green's theorem to compute the area inside the = 1. 2² y² ellipse + 19² 14² Use the fact that the area can be written as
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![A)
Use Green's theorem to compute the area inside the
2:2 y²
ellipse +
19² 14²
Use the fact that the area can be written as
= 1.
-
1
ff, dx dy = //p
2
aD
Hint: x(t) = 19 cos(t).
The area is 836
81л
4
−y dx + x dy .
B)
Find a parametrization of the curve 2/3 + y2/3 = 92/3
x
and use it to compute the area of the interior.
Hint: x(t) = 9 cos³ (t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff35f8f89-65fc-4b90-98e9-68f8eaa1b3da%2F09a168c3-f873-4164-b2be-02003b75d9f1%2Ftjxfznd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A)
Use Green's theorem to compute the area inside the
2:2 y²
ellipse +
19² 14²
Use the fact that the area can be written as
= 1.
-
1
ff, dx dy = //p
2
aD
Hint: x(t) = 19 cos(t).
The area is 836
81л
4
−y dx + x dy .
B)
Find a parametrization of the curve 2/3 + y2/3 = 92/3
x
and use it to compute the area of the interior.
Hint: x(t) = 9 cos³ (t).
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