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:
the second company
Step-by-step explanation:
the second company produces 50,000 more crackers an hour than the first company
Answer:
$103.6 left
Step-by-step explanation:
First, multiply the amount she earns an hour times how many hours she worked:
9.25 x 14 = 129.5
Then divide the total by 1/5:
129.5 / 5 = 25.9
Then subtract that value from the total:
129.5 - 25.9 = 103.6
$103.6 is your answer
Hope this helps!
Answer:
$98100
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 90000 × 3/100 × 3
I = $8100
He saves = 8100 + 90000 = $98100