POLAR AREA DAY 2 Section 10 5 A

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POLAR AREA DAY 2 Section 10. 5 A Calculus BC AP/Dual, Revised © 2018

POLAR AREA DAY 2 Section 10. 5 A Calculus BC AP/Dual, Revised © 2018 viet. dang@humbleisd. net 6/5/2021 7: 13 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 1

DIFFERENT TYPES OF FINDING AREAS A. Loops from Limaçon and/or another figure B. Inside

DIFFERENT TYPES OF FINDING AREAS A. Loops from Limaçon and/or another figure B. Inside vs Outside 1. Area of the inside object MINUS the area of the outside object 6/5/2021 7: 13 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 2

STEPS 6/5/2021 7: 13 PM § 10. 5 A: Polar Area with Loops and

STEPS 6/5/2021 7: 13 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 3

EXAMPLE 1 6/5/2021 7: 13 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 13 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 4

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 5

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 6

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 7

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 8

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 9

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 10

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 1 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 11

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 12

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 13

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 14

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 15

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 16

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 17

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 2 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 18

YOUR TURN 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

YOUR TURN 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 19

INSIDE AND OUTSIDE AREA 6/5/2021 7: 14 PM § 10. 5 A: Polar Area

INSIDE AND OUTSIDE AREA 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 20

EXAMPLE 3 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 3 6/5/2021 7: 14 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 21

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 22

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 23

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 24

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 25

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 3 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 26

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 27

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 28

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 29

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 4 6/5/2021 7: 15 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 30

EXAMPLE 4 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 4 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 31

EXAMPLE 4 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

EXAMPLE 4 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 32

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 33

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 34

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 35

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 36

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

YOUR TURN 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 37

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) 6/5/2021 7: 16 PM § 10. 5

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 38

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) Vocabulary 6/5/2021 7: 16 PM Connections and

AP MULTIPLE CHOICE PRACTICE QUESTION 1 (NON-CALCULATOR) Vocabulary 6/5/2021 7: 16 PM Connections and Process § 10. 5 A: Polar Area with Loops and Inside/Outside Answer 39

ASSIGNMENT Worksheet 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops

ASSIGNMENT Worksheet 6/5/2021 7: 16 PM § 10. 5 A: Polar Area with Loops and Inside/Outside 40