Answer:
slope= 1/2
c
Step-by-step explanation:
part a)
m= 4 - 0 / 8 - 0
= 1/2
Given:
The train has 6 passenger cars
Each car has 4 columns
And 1 column hold 50 passengers
So, total of seats will be = 6 * 4 * 50 = 1200
Now, there are 25 empty seats,
therefore the correct equation will be :
Number of seats per car: 4 × 50 = 200
Total number of seats: 200 × 6 = 1,200
Number of passengers: 1,200 − 25 = p
Answer:

And on this case we can use the product rule for a derivate given by:

Where
and
And replacing we have this:

Step-by-step explanation:
We assume that the function of interest is:

And on this case we can use the product rule for a derivate given by:

Where
and
And replacing we have this:

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
divisions between $389$ and $390$ so each division is $\frac{390-389}{10}=0.1$
A is 8 division from $389$, so, A is $389+8\times 0.1=389.8$
similarly, C is one division behind $389$ so it is $389-1\times 0.1=388.9$
and B is $390.3$