
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:
21/22 = repeating
60/120 = terminating
56/72 = repeating
11/121 = repeating
Step-by-step explanation:
i just know. fight me.
The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².
<h3>What is a regular octagon?</h3>
It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.
Given
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
We know the formula for the regular octagon.
Area of the regular octagon = 2(1 +
) a²
Where a be the side of a regular octagon.
Then the area of the regular octagon will be.

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².
More about the regular octagon link is given below.
brainly.com/question/858868
Answer:
Hundredths I think :D
Step-by-step explanation:
Parentheses
Exponents
Multiple
Divide
Add
Subtract