It should be 324. 9+9=18 18^2=324
You can parameterize the curve
and compute the integral along each component curve, or you can use the fact that
is the continuous gradient of a function
and observe that the line integral is path independent.
In other words, there is a function
such that
, so the integral along any curve
from the points
to
is simply
You have
, and so
while
where
is an arbitrary constant. So we've found that
which means the line integral has a value of
Answer:
4
Step-by-step explanation:
5 x 0.32 = 1.6
3 x 0.8 = 2.4
2.4 + 1.6 = 4
Answer:
the last one
Step-by-step explanation:
Answer:
C ( h(x) = x^2 - 6x)
Step-by-step explanation:
Assuming that the function has a slope of 1 (none of the answer choices show a different slope, for all of the coefficients of x^2 are 1) the easiest way to solve this problem would be to find the function for the graph instead of inputting points from the graph into each of the function. (you could do that if you weren't sure.) To get a function from the graph, we first have to find the vertex and enter it into this vertex form function:
h(x) = (x - a )^2 - b
(there are other ways, but finding the vertex and putting the function in vertex form and then simplifying is the easiest way in this situation.) Looking at the graph, we can tell that the vertex of the function is (3, -9). Using the fact that h(x) = (x - a )^2 - b works for the vertex (-a, b), we can conclude that the function is
h(x) = (x - 3)^2 - 9.
This is not an answer! We have to simplify (x - 3)^2 - 9 to answer the question. By squaring x - 3, we get:
x^2 - 6x + 9 - 9 =
x^2 - 6x.
Therefore, the answer is:
C (h(x) = x^2 - 6x).