14209an7.1-3

# 14209an7.1-3 - f ( x ) and g ( x ) on [ a , d ] 2 c ±...

This preview shows pages 1–3. Sign up to view the full content.

c ± Kendra Kilmer April 14, 2009 Section 7.1 - Area Between Curves Example 1: Theorem: If f ( x ) and g ( x ) are two continuous functions with f ( x ) g ( x ) on [ a , b ] , then the area between the two curves on [ a , b ] is given by Example 2: Find the area between y = x 2 - 1 and the x -axis on [ 0 , 1 ] . Example 3: Find the area between y = x and y = x 2 + 2 on [ - 4 , 3 ] . 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
c ± Kendra Kilmer April 14, 2009 Example 4: Find the area bounded by the curves y = x 2 - 2 x and y = x . Example 5: Find the area bounded by y = ln x and y = 1 on [ 1 , 5 ] . Example 6: Given the graph below write deﬁnite integrals to represent the total area bounded by
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f ( x ) and g ( x ) on [ a , d ] 2 c ± Kendra Kilmer April 14, 2009 Example 7: A yeast culture is growing at a rate of w ( t ) = . 3 e . 1 t grams per hour. Find the area between the graph of w ( t ) and the t-axis on the interval [ , 10 ] and interpret the results. Section 7.1 Suggested Homework Problems: 3,11,15,19,23,27,35,41,47,55,57,63,69,77,79,89 3...
View Full Document

## This note was uploaded on 03/27/2012 for the course MATH 142 taught by Professor Drost during the Fall '08 term at Texas A&M.

### Page1 / 3

14209an7.1-3 - f ( x ) and g ( x ) on [ a , d ] 2 c ±...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online