Aditi 6. callie 5. 71-11=60
Step-by-step explanation:
the general equation of a line is
y = ax + b
a is the slope of the line.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
6 = -3×4 + b = -12 + b
18 = b
so, the full line equation is
y = -3x + 18
which is answer C : 3x + y = 18
The divergence theorem applies since
is a closed surface. We have
where
is the space enclosed by the surface
. The divergence of the given vector field is
So we can write the volume integral (in spherical coordinates) as
First, plug in -3 for the y value.
-3=2x²-10x
Then, add 3 to both sides.
0=2x²-10x+3
Use the quadratic equation to solve
(-b+-√b²-4ac)/2a
You get 4.68 or 0.32
You still have to check your answer to see if there is an excluded value.
Both values check.
Answer:
It is the first choice.
Step-by-step explanation:
This is a sequence where
the next term is obtained by adding 6.
first term = -9 + 6(0) = -9
second term = -9 + 6(1) = -3
third term = -9 + 6(2) = 3
4th term = -9 + 6(3) = 9
and 81 = -9 + (6*15).
So the answer is Sigma (-9 + 6n) from n= 0 to n = 15.
