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:
The mean is the average of a set of data.
Example:
To find the mean, add up all of the numbers in the set and divide by the number of values that you added.
35 + 36 + 37 + 38 + 40 + 40 + 41 + 42 + 43 + 55 + 55 + 55 + 56 + 57 + 58 + 59 = 747
Then, divide by the number of values, which is 16.
747/16=46.68
Answer:Divide both sides by the numeric factor on the left side, then solve.
m
=
−
4
Step-by-step explanation:
Answer:
Is this the full question?
Step-by-step explanation:
11 pt. = 176 oz.
(Double-check if this doesn't sound correct)
