Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
Let W = width of package
Let H = height of package
Let L = length of package
The perimeter cab be one of the following:
P = 2(L + W), or
P = 2(L + H)
The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
2(L + 10) <= 108
L + 10 <= 54
L <= 44 in
When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
L <= 39 in
To satisfy both of these conditions requires that L <= 39 in.
Answer: 39 inches
3, because you cut a corner, you cut through where 3 sides meet.
3 sides
<span>To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- There are 75 classmates.
- 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music.
2. Therefore, you have:
- Number of his classmates that likes salsa music:
75x0.56=42
- Number of his r</span>elatives that like salsa music:
60x0.80=48
3. Then you have:
48-42=6
Therefore, the answer is: 6.