Graphic r+y = 1 R Options f(r cos(8), T sen(0)) /2 A) I = drd0 1-r cos(0) /2 B) I = f(r cos(0), r sen(0)) drde /1-rcos(@) /2 C) I = f(r cos(0), r sen(@) 72 drde Jo /2 f(r cos(0), r sen(@)) drde D) I = Jo en(0)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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consider the double integeral photo 12.1

 

with f a function that can be integrated in R, where R is a region on the plane XY represented on the graphic bellow.

photo 12.2

By transforming the integral applying the change of variable to polar coordinates we get:

Also in photo 12.2

 

Graphic
r+y = 1
a + y = 1
R
Options
/2
f(r cos (0), r sen(0))
A) I =
drd
/1-r cos(0)
*/2
f(r cos(0), r sen(0))
B) I =
drde
-2
1-r cos(@)
/2
-1
C) I =
f(r cos(0), T sen(0))
72
drde
/2
r1
f(r cos(0), r sen(0))
D) I = |
drde
con(0)+aun(0)
Transcribed Image Text:Graphic r+y = 1 a + y = 1 R Options /2 f(r cos (0), r sen(0)) A) I = drd /1-r cos(0) */2 f(r cos(0), r sen(0)) B) I = drde -2 1-r cos(@) /2 -1 C) I = f(r cos(0), T sen(0)) 72 drde /2 r1 f(r cos(0), r sen(0)) D) I = | drde con(0)+aun(0)
[| f(1,y) dA,
+ y²
I, Y
RT
Transcribed Image Text:[| f(1,y) dA, + y² I, Y RT
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