The Postage function. The cost of sending a large envelope via U.S. first-class mail in 2014 was $0.98 for the first ounce and $0.21 for each additional ounce (or fraction thereof). (Source; www.usps.com .) If x represents the weight of a large envelope, in ounces, then p ( x ) is the cost of mailing it, where p ( x ) = $ 0.98 , if 0 < x ≤ 1 , p ( x ) = $ 1.19 , if 1 < x ≤ 2 , p ( x ) = $ 1.40 , if 2 < x ≤ 3 , And so on, up through 13 ounce. The graph of p is show below. Using the graph of the postage function, find each of the following limit, if it exists. lim x → 3 p ( x )
The Postage function. The cost of sending a large envelope via U.S. first-class mail in 2014 was $0.98 for the first ounce and $0.21 for each additional ounce (or fraction thereof). (Source; www.usps.com .) If x represents the weight of a large envelope, in ounces, then p ( x ) is the cost of mailing it, where p ( x ) = $ 0.98 , if 0 < x ≤ 1 , p ( x ) = $ 1.19 , if 1 < x ≤ 2 , p ( x ) = $ 1.40 , if 2 < x ≤ 3 , And so on, up through 13 ounce. The graph of p is show below. Using the graph of the postage function, find each of the following limit, if it exists. lim x → 3 p ( x )
Solution Summary: The author explains that the cost of sending a large envelope via U.S. first-class mail in 2014 was 0.98 for the first ounce and
The cost of sending a large envelope via U.S. first-class mail in 2014 was $0.98 for the first ounce and $0.21 for each additional ounce (or fraction thereof). (Source; www.usps.com.) If x represents the weight of a large envelope, in ounces, then
p
(
x
)
is the cost of mailing it, where
p
(
x
)
=
$
0.98
,
if
0
<
x
≤
1
,
p
(
x
)
=
$
1.19
,
if
1
<
x
≤
2
,
p
(
x
)
=
$
1.40
,
if
2
<
x
≤
3
,
And so on, up through 13 ounce. The graph of p is show below.
Using the graph of the postage function, find each of the following limit, if it exists.
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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