Which of the following is the integral that gives the area of the region inside the cardioid r= 2+2cos0 and outside the circle r= 6cos 0 ? (a) A = [[(6cos0)² - (2+2cos0)² |d® (2+2cos0)² - (6cos0)² jd® (b) A = 3 (c) A= [(2+2cos0)² de – [ (6cos0)² de (d) A = | (2+2cos0)² de – | (6cos 0)² d® 3 3 3 (e) A = (2+2cos0)² d® - [(6cos0)² d® 6. 6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Which of the following is the integral that gives the area of the region inside the
cardioid r= 2+2cos0 and outside the circle r= 6cos 0 ?
(6cos0)² - (2+2 cos 0)² (d®
je.
[|(2+2cos0)² – (6cos €)² jd®
(а) А 3D
(b) A =
3
(c) A= |(2+2cos0)² de –
[(6cos 0)? de
je
se)²d© - [ (6cos0)² d®
(d) A =
3
3
3
= [(2+2cos€)² d® – [(6cos®)² d®
(6cos0)? de
(e) A =
6.
Transcribed Image Text:Which of the following is the integral that gives the area of the region inside the cardioid r= 2+2cos0 and outside the circle r= 6cos 0 ? (6cos0)² - (2+2 cos 0)² (d® je. [|(2+2cos0)² – (6cos €)² jd® (а) А 3D (b) A = 3 (c) A= |(2+2cos0)² de – [(6cos 0)? de je se)²d© - [ (6cos0)² d® (d) A = 3 3 3 = [(2+2cos€)² d® – [(6cos®)² d® (6cos0)? de (e) A = 6.
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