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
Answer:
530.66 square cm
Step-by-step explanation:
A=pi*r^2
A=pi*13^2
A=530.66
1. Slope = 7
2. x-intercept = 6/7 = 0.85714
3. y-intercept = 6/ - 1 = -6.00000
Rearrange:
Rearrange the equation by subtracting what is to the right if the equal sign from both sides of the equation:
7x-y- (6) = 0
Answer:
D
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = lbh ( l is length, b breadth and h is height )
Here l = 7, b = 2 and h = 4 , thus
V = 7 × 2 × 4 = 56 in² → D
