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
Cost of the 3 shirts before tax = 2*49.96 + 1/2 * 49.96
= $124.90
After adding 7.1% tax total cost = 124.90 * 1.071 = $133.77
So the cost od each shirt = 133.77 / 3 = $44.59 (answer)
Any value of y, except when y = -4.9, will make the expression equal to 2.45.
Answer:
A
Step-by-step explanation:
Well automatically we can eliminate B and D because they make no sense whatsoever. So that leaves us with A and C. A is telling us to find the mean so it has to be that one. So, with procces of elimination the answer has to be A. I know this because the owner needs to find an average to see how many bottles he will have sold daily. ;) Your very much welcome