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13.3 Change of Variables Polar Coordinates

13.3 Change of Variables Polar Coordinates. Write and evaluate double integrals in polar coordinates. Review from 13.1-13.2. We will be learning “change of variables in multiple integrals” in a later section ( Jacobians ) BUT for NOW, need to know…. g’(u) is the Jacobian.

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13.3 Change of Variables Polar Coordinates

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  1. 13.3 Change of Variables Polar Coordinates Write and evaluate double integrals in polar coordinates

  2. Review from 13.1-13.2

  3. We will be learning “change of variables in multiple integrals” in a later section (Jacobians) BUT for NOW, need to know… g’(u) is the Jacobian

  4. For those who forgot, recall…

  5. Recall Part II… Write an equation of a circle with center (1, 0) with radius 1.

  6. A very interesting problem…

  7. Later on (after triple integrals)…

  8. Homework Pg. 960 # 5-11, 15-23 odd, 27, 29, 37, 39, 41

  9. Look at these slides if you forgot about Limacons Ex. cardiods Review of Calculus I and II

  10. Will be focusing on cardioids (inner loop limacons aka “heart-shaped” figures)

  11. Another polar function you should be aware of…

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