4. The graph of the equation 2/3 + y²/3 = 1 can be parametrized as: F(t) = (* (8) cos³ where 0 ≤ t ≤ 27. Find the area inside the graph. (Hint: Use Green's Theorem with F(x, y) = ().)
4. The graph of the equation 2/3 + y²/3 = 1 can be parametrized as: F(t) = (* (8) cos³ where 0 ≤ t ≤ 27. Find the area inside the graph. (Hint: Use Green's Theorem with F(x, y) = ().)
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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Transcribed Image Text:4. The graph of the equation x²/³ + y²/³ = 1 can be parametrized as:
cos³ (t))
sin³ (t)
r(t) =
where 0 ≤ t ≤ 27. Find the area inside the graph. (Hint: Use Green's
Theorem with F(x, y) = ( −y).)
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