It is direct variation if x/y is a constant.
x/y = 2 / -6.6 = -1/3.3
y/x = -9.9/3 = -3.3
y/x = -6.6/ 2 = -3.3
y/x = -13.2/ 3 = -3.3
y/x = -16.2/ 3 = -3.24
So its not exactly direct variation as the last values is slightly different from the first 3.
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:

<h3>4th answer is correct</h3>
Step-by-step explanation:

Answer:
The height is 6.3
Step-by-step explanation:
Pythagorean Theorm: a² + b² = c²
5² + b² = 8²
25 + b² = 64
b² = 39
b = 6.2449979984
Answer:
$4.19
Step-by-step explanation: