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(x + y)dA donde R es la región del plano XY, dada en la gráfica adjunta. r = 4+ 4 cos(0) x² + y? = 25 12 -11 -10 -9 -8 -7 6 -4 -3 9 10

(x + y)dA donde R es la región del plano XY, dada en la gráfica adjunta. r = 4+ 4 cos(0) x² + y? = 25 12 -11 -10 -9 -8 -7 6 -4 -3 9 10

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 105E
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Consider the double integral

where R is the region of the XY plane, given in the accompanying graph.(See the double integral and the graph in one of the images)

When transforming the previous integral applying change of variable in polar coordinates, we obtain:

See the answers in one of the images-

(x + y)dA donde R es la región del plano XY, dada en la gráfica adjunta. r = 4+ 4 cos(0) x² + y? = 25 12 -11 -10 -9 -8 -7 6 9 10 -4
Transcribed Image Text:(x + y)dA donde R es la región del plano XY, dada en la gráfica adjunta. r = 4+ 4 cos(0) x² + y? = 25 12 -11 -10 -9 -8 -7 6 9 10 -4
r4+4 cos(0) A) rdrd0 + rdrd0, con 01 (금) = arc coS 01 r4+4 cos(0) B) (² cos(0) + r² sin())drd0 + | | ((r² cos(0) + r² sin(0))drdð, con 0 : = arc cos (E) 01 ~4+4 cos(0) C) (r cos(0) + r sin(0))drd0 + I | (r cos(0) + r sin(0))drd0, con 01 (글) = arc coS »4+4 cos(0) 5 D) (p² cos(8) + r² sin(0))drd® + | | ((r² cos(0) + r² sin(0))drd®, con 01 = arc cos ()
Transcribed Image Text:r4+4 cos(0) A) rdrd0 + rdrd0, con 01 (금) = arc coS 01 r4+4 cos(0) B) (² cos(0) + r² sin())drd0 + | | ((r² cos(0) + r² sin(0))drdð, con 0 : = arc cos (E) 01 ~4+4 cos(0) C) (r cos(0) + r sin(0))drd0 + I | (r cos(0) + r sin(0))drd0, con 01 (글) = arc coS »4+4 cos(0) 5 D) (p² cos(8) + r² sin(0))drd® + | | ((r² cos(0) + r² sin(0))drd®, con 01 = arc cos ()
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