Direct computation:
Parameterize the top part of the circle
by

with
, and the line segment by

with
. Then



Using the fundamental theorem of calculus:
The integral can be written as

If there happens to be a scalar function
such that
, then
is conservative and the integral is path-independent, so we only need to worry about the value of
at the path's endpoints.
This requires


So we have

which means
is indeed conservative. By the fundamental theorem, we have

I don’t understand if this is a math problem or a statement.
The total amount of money Sandra paid for a slice of pizza with a side salad including tax is $10.089
<h3>How to find total price including tax</h3>
- Price of slice of pizza with a side salad = $9.50
- Tax = 6.2%
Total amount Sandra paid = Price of slice of pizza with a side salad + (Tax × Price of slice of pizza with a side salad)
= 9.50 + (6.2% × 9.50)
= 9.50 + (0.062 × 9.50)
= 9.50 + 0.589
= $10.089
Therefore, the total amount Sandra paid is $10.089
Learn more about percentage:
brainly.com/question/843074
Answer:
function
Step-by-step explanation:
A <u>function</u> is a rule that pairs each element in one set with exactly one element from a second set.
Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form
The standard form of quadratic equation is

When y=0 then the standard equation becomes

Now we compare the given equation
with
and find the value of a, b,c
-x^2 can be written as -1x^2
a= -1 , b=4 and c=-7
The value of c is -7