Express the integral f (x² + y²) dA as an iterated integral using polar coordinates if R is the region enclosed by y = √81 x² and the lines y = x and y = -x. (Give exact answers. Use symbolic notation and fractions where needed.) 0₂ [₂ (x² + y²) dA = √°³² √² 0₁ f(r, 0) dr de

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Express the integral f (x² + y²) dA as an iterated integral using polar coordinates if R is the region enclosed by
y = √81 x² and the lines y = x and y = -x.
(Give exact answers. Use symbolic notation and fractions where needed.)
0₂
Ø1₂ (x² + y²) d^ = √6°² √²
dA
0₁
f(r, 0) dr de
Transcribed Image Text:Express the integral f (x² + y²) dA as an iterated integral using polar coordinates if R is the region enclosed by y = √81 x² and the lines y = x and y = -x. (Give exact answers. Use symbolic notation and fractions where needed.) 0₂ Ø1₂ (x² + y²) d^ = √6°² √² dA 0₁ f(r, 0) dr de
f(r, 0) = ₂2
Incorrect
0₁ =
0₂ =
Incorrect
TU
11 = 0
12 =
9
π
Pla
4
Transcribed Image Text:f(r, 0) = ₂2 Incorrect 0₁ = 0₂ = Incorrect TU 11 = 0 12 = 9 π Pla 4
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