6a. By the convolution theorem,

6b. Similarly,

7. Take the Laplace transform of both sides, noting that the integral is the convolution of
and
.


where
. Then
, and

We have the partial fraction decomposition,

Then we can easily compute the inverse transform to solve for f(t) :


Answer:
1a. 1.5
1b. 0.38
Step-by-step explanation:
a.
one full grid is full (1) and half a grid is full (0.5)
b.
there are 100 squares and 38 of them are filled in,so you divide 38 by 100 which is 0.38
Answer:
False
Step-by-step explanation:
Since the b value (the value inside the parentheses) is less than 1, it represents exponential decay.
Answer:
84%, 86%, 89%
Step-by-step explanation:
The three numbers, expressed as percentages, are ...
- 86%
- (47/50)×100% = 84%
- 0.89×100% = 89%
Smallest to largest, they are 84%, 86%, and 89%. In the original form, they are 47/50, 86%, and 0.89.
Answer:
It would be the first one.
Step-by-step explanation:
The way you figure it out is that it said that there was a total of 80 stuffed animals, so model B is out. Then, you change the percent into a decimal by moving the decimal point over to the right 2 times and you get 0.30. Finally, you multiply 80 by 0.30 and you get 24 stuffed animals.