The slope is the ratio between the change in the y and x values. When you write a line as
, the slope is the coefficient
. So, the slope of the first graph is 405, which means that the first plane flies with a speed of 405 miles per hour.
Similarly, from the table we can see that each time you increase x by 1, the distance traveled increases by 435. So, the slope of the second graph is 435, which means that the second plane flies with a speed of 435 miles per hour, and is thus faster.
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:
84 in^2
Step-by-step explanation:
Answer:
F(-3)=12
F(2)=7
F(0)=3
F(5)=28
Step-by-step explanation: