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 → 2.6 − p ( x ) , lim x → 2.6 + p ( x ) , lim x → 2.6 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 → 2.6 − p ( x ) , lim x → 2.6 + p ( x ) , lim x → 2.6 p ( x )
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
→
2.6
−
p
(
x
)
,
lim
x
→
2.6
+
p
(
x
)
,
lim
x
→
2.6
p
(
x
)
Exercise 1
Given are the following planes:
plane 1:
3x4y+z = 1
0
plane 2:
(s, t) =
( 2 ) + (
-2
5 s+
0
(
3 t
2
-2
a) Find for both planes the Hessian normal form and for plane 1 in addition the parameter form.
b) Use the cross product of the two normal vectors to show that the planes intersect in a line.
c) Calculate the intersection line.
d) Calculate the intersection angle of the planes. Make a sketch to indicate which angle you are
calculating.
Only 100% sure experts solve it correct complete solutions ok
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
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