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
In standard form:
answer- 14,000 and 12,000
Example
←LEFT 12,000
↑
comma(THOUSANDS PLACE)
ten thosands is the second number after the comma(thousands) to the left
Answer:
Following are the sample list can be attached as follows:
Step-by-step explanation:
In the given question some information is missing that is attachment of list which can be attached as follows:
please find the attachment list:
by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.
Answer:
well, we only no that
2l + 2w is 80
(lengths and widths on all 4 sides
and that w * l is A
so the function should be w times what's left for l, but also expressed by something with w
2l + 2w = 80 | -2w
2l = 80 -2w | devide by 2
l = 80 - w
now we can substitute l in
A = w * l
so that we only need w's
A(w) = w * (80-w)
for any w it will give us the area, makes only sense for 0<w<80
Answer:
6.5
Step-by-step explanation:
7 5/8 + 5 3/8= 13
13/2=6.5
