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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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
http://www.battaly.com/calc/classnotes/4_2_Area.pdf
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
http://www.battaly.com/calc/classnotes/4_2_Area.pdf
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
http://www.battaly.com/calc/classnotes/4_2_Area.pdf
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
http://www.battaly.com/calc/calchw.htm#Area%20of%20Region%20Bounded%20by%202%20Curves
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm
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

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)

http://www.battaly.com/calc/wcccalc1.htm
http://www.battaly.com/calc/hw/ch6s1a.htm
http://www.battaly.com/calc/hw/ch6s1b.htm

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