We want to find a scalar function

such that

.
So we need to have

Integrating both sides with respect to

gives

Differentiating with respect to

gives



So we find that

By the fundamental theorem of calculus, we then know the line integral depends only on the values of

at the endpoints of the path. Therefore
Answer:
-1/4
Step-by-step explanation:
Hello!
The rate of change is also known as the slope.
Standard equation of a line: y = mx + b
- y: output
- m: slope
- x: input
- b: y-intercept
So, if we match the standard form to the given function:
-1/4 is m, or the rate of change.
Answer:
84
Step-by-step explanation:
The mean is calculated as
mean =
, then
= 21 ( multiply both sides by 4 )
sum = 84
Answer:
Opinion B
Step-by-step explanation:
hope that will help you