Your SlideShare is downloading. ×
  • Like
Calculus II - 18
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×

Now you can save presentations on your phone or tablet

Available for both IPhone and Android

Text the download link to your phone

Standard text messaging rates apply

Calculus II - 18

  • 454 views
Published

Stewart Calculus Section 10.4

Stewart Calculus Section 10.4

Published in Technology , Self Improvement
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Be the first to comment
    Be the first to like this
No Downloads

Views

Total Views
454
On SlideShare
0
From Embeds
0
Number of Embeds
0

Actions

Shares
Downloads
5
Comments
0
Likes
0

Embeds 0

No embeds

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
    No notes for slide
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n
  • \n

Transcript

  • 1. 10.4 Area and Length in Polar Coordinates Area of a region bounded by the polar curve = ( ) and by the rays: = , = O
  • 2. OFormula: = ( )or =
  • 3. Ex: Find the area enclosed by one loop ofthe four-leaved rose = .
  • 4. Ex: Find the area enclosed by one loop ofthe four-leaved rose = . :
  • 5. Ex: Find the area enclosed by one loop ofthe four-leaved rose = . : / = /
  • 6. Ex: Find the area enclosed by one loop ofthe four-leaved rose = . : / = / / = /
  • 7. Ex: Find the area enclosed by one loop ofthe four-leaved rose = . : / = / / = / =
  • 8. Ex: Find the are of the region that lies insidethe circle = and outside thecardioid = + .
  • 9. Ex: Find the are of the region that lies insidethe circle = and outside thecardioid = + . :
  • 10. Ex: Find the are of the region that lies insidethe circle = and outside thecardioid = + . : /= ( ) / / ( + ) /
  • 11. Ex: Find the are of the region that lies insidethe circle = and outside thecardioid = + . : /= ( ) / / ( + ) /=
  • 12. Arc length of a polar curve = ( )between = , =is given by = + O
  • 13. Ex: Find the length of the cardioid = +
  • 14. Ex: Find the length of the cardioid = += +
  • 15. Ex: Find the length of the cardioid = += += ( + ) +
  • 16. Ex: Find the length of the cardioid = += += ( + ) +=