14209an7.1-3

14209an7.1-3 - f x and g x on a d 2 c ± Kendra Kilmer...

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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
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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
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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...
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14209an7.1-3 - f x and g x on a d 2 c ± Kendra Kilmer...

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