Math 1314
Lesson 21
Area Between Two Curves
Two advertising agencies are competing for a major client.
The rate of change of the
client’s revenues using Agency A’s ad campaign is approximated by
f
(
x
) below.
The rate
of change of the client’s revenues using Agency B’s ad campaign is approximated by
g
(
x
)
below.
In both cases,
x
represents the amount spent on advertising in thousands of
dollars.
In each case, total revenue is the area under the curve given in thousands of
dollars.
Agency A
Agency B
This graph shows the relationship between the two revenue functions.
We see that one
function is above the other.
The area between the two functions represents the projected
additional revenue that would be realized by using Agency B’s ad campaign.
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you learn in this lesson.
We can compute the area between the two curves.
The general “formula” is
dx
b
a
∫
function)
bottom

function
(top
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 Fall '08
 MARKS
 Advertising, Rate Of Change, 4 million dollars, ad campaign, 3 million dollars, Agency B

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