تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Use a double integral to find the area of the region inside the cardioid 7 =
r = 6 cos 0 and above the x-axis (picture below).
Ө
NOTE: When typing your answers use "th" for 0.
2+2 cos 0, outside the circle
As ranges the curves which we cross to enter and exit the region changes so we must express the area as
a sum of integrals
02
Area of region =
r dr de +
r dr de
01
02
where
0₁ =
=
02 =
T₁ =
12=
13=
€ [0,02)
€ (01, π)
14=
Area of region=
Hint: It is good practice to sketch the region and will help you prepare for exams.
check_circle الجواب — حل مفصل خطوة بخطوة
hourglass_top
🔒
الحل الكامل متاح للمشتركين
اشترك في أرشيف الأسئلة لعرض هذا الحل وآلاف الحلول المفصلة خطوة بخطوة من معلمين معتمدين.