I am not sure, but this is what I got:
<span>Pipe ALONE = 18 hours
Pipe ALONE in 1 hour = 1/18 of the pool
Hose ALONE in 1 hour = 1/25 of the pool
TOGETHER in 1 HOUR = 1/18 +1/25 = 43/450
TOGETHER they will fill the pool in 450/43 hours
So 5/6 of the pool will take 5/6 X 450/43 = 2250/ 258 = 8.7209302 hours OR
8 hours AND 43.26 minutes ANSWER
</span>
Hope this helps!

We want to find
such that
. This means



Integrating both sides of the latter equation with respect to
tells us

and differentiating with respect to
gives

Integrating both sides with respect to
gives

Then

and differentiating both sides with respect to
gives

So the scalar potential function is

By the fundamental theorem of calculus, the work done by
along any path depends only on the endpoints of that path. In particular, the work done over the line segment (call it
) in part (a) is

and
does the same amount of work over both of the other paths.
In part (b), I don't know what is meant by "df/dt for F"...
In part (c), you're asked to find the work over the 2 parts (call them
and
) of the given path. Using the fundamental theorem makes this trivial:


Answer: 
Step-by-step explanation:
Given: A tourist first walked 17km with a speed of v km/h.
Since 
therefore, 
Let
be the time he walked with speed v.
then 
Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.
Let
be the time he hiked 12 km,
Then 
The total time for the whole trip is given by:-

Substitute the values of
and
in the equation, we get

Answer:
915 stamps
Step-by-step explanation:
140 + 775 = 915
Answer:
$260
Step-by-step explanation:
0.06 x 200 = 12
12 x 5 = 60
200 + 60 = 260