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Find the area of the shaded region

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Presentation on theme: "Find the area of the shaded region"— Presentation transcript:

1 Find the area of the shaded region
Chapter 6.1 Area between Curves 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Warm Up Evaluate using your calculator. Round to 3 places past the decimal when necessary. Find the area of the shaded region Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2 Chapter 6.1 Area between Curves 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. You can also find intersection points by using the intersection feature on your calculator Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3 Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4 Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5 Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6 Find the intersection points using your calculator.
Chapter 6.1 Area between Curves 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Storing horrible decimals as constants in your calculator will help reduce mistakes. Find the intersection points using your calculator. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7 Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8 Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9 Practice: Area Worksheet (dx) Chapter 6.1 Area between Curves
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Practice: Area Worksheet (dx) Sunday, December 02, 2018 12/2/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

10 Integrate travelling in a positive direction
Chapter 6.1 Area between Curves 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Integrate travelling in a positive direction Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

11 Disagree Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Disagree Sunday, December 02, 2018 12/2/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

12 Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

13 Chapter 6.1 Area between Curves Sunday, December 02, 2018
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

14 Area of a Region Between Curves
Chapter 6.1 Area between Curves 16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Area of a Region Between Curves everything must agree Sunday, December 02, 2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

15 Practice: Area Worksheet (dx) Chapter 6.1 Area between Curves
16.0 Students use definite integrals in problems involving area, velocity, acceleration, volume of a solid, area of a surface of revolution, length of a curve, and work. Practice: Area Worksheet (dx) Sunday, December 02, 2018 12/2/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals


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