Do you have any pictures to choose from anything to show what im looking at?
Answer:
Only table C shows proportional relationship
Step by Step Explanation:
Given
Tables A, B an C
Required
Which table shows proportional relationship?
In table A .
x = 2 and y = 20
k = 20/2
k = 10
Also, x = 12, y = 132
k =. 132/12.
k = 11
Both values of k are not equal.
Hence, the table is not proportional
In table B
x = 5 and y = 20
k = 20/5
k = 4
Also, x = 7, y = 30
k =. 30/7
k = 4.29
Both values of k are not equal.
Hence, the table is not proportional
In table C
x = 9 and y = 90
k = 90/9
k = 10
Also, x = 14, y = 140
k =. 140/14
k = 10
Also, x = 24, y = 240
k =. 240/24
k = 10
All values of k are equal.
Hence, the table is proportional

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:


1. Calculate how many hours passed between her temperature checks. 8 p.m to 8 a.m. is 12 hours.
2. Calculate the total change in temperature. 36 - 54 is -18, so the temperature went down by 18 degrees.
3. We are looking for degrees per hour, so we put derees(18) over hours (12) to get 18/12.
4. Calculate by dividing. The answer is 1.5 degrees per hour.
It’s always gonna be 60 Units this is just an known fact