7.1 area of region bounded by 2 curves - battaly · 2008-03-14 · calculus home page class notes:...
TRANSCRIPT
![Page 1: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/1.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
HW:
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
Title: intro (1 of 12)
![Page 2: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/2.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
(background, see also Class Notes, Ch 42.)
f continuous and nonnegative
Title: area under curve (2 of 12)
![Page 3: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/3.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
(background, see also Class Notes, Ch 4.2)
Title: background (con't) (3 of 12)
![Page 4: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/4.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
(background, see also Class Notes, Ch 4.2)
Title: background (4 of 12)
![Page 5: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/5.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
F: Area of bounded region in Quadrant I
of
of
only if
Title: area betw 2 curves (5 of 12)
![Page 6: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/6.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
upper
_
lower
upper lower
Find upper limit by finding x coordinate of point of intersection.
Title: solve (6 of 12)
![Page 7: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/7.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
Title: def: area betw 2 curves (7 of 12)
![Page 8: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/8.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
on the web:
Title: on web (8 of 12)
![Page 9: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/9.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
g(x) f(x)
Title: example (9 of 12)
![Page 10: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/10.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
Title: 3 points of intersection (10 of 12)
![Page 11: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/11.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 3 Curves
Homework Part 2
Need to arrange the bounded region by dividing into appropriate sections.
Title: 3 curves define region (11 of 12)
![Page 12: 7.1 Area of Region Bounded by 2 Curves - Battaly · 2008-03-14 · Calculus Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NYHomework Part 1 7.1 Area of Region](https://reader034.vdocuments.mx/reader034/viewer/2022042103/5e815487d4fb876fb84b41f2/html5/thumbnails/12.jpg)
Calculus Home PageClass Notes: Prof. G. Battaly, Westchester Community College, NY
Homework Part 1
7.1 Area of Region Bounded by 2 Curves
Homework Part 2
Title: example (12 of 12)