Answer:
a) 
b) 
c) the points of the form (x, -x) for x≠0
Step-by-step explanation:
a)
If φ(x, y) = arctan (y/x), the vector field F = ∇φ would be
On one hand we have,
On the other hand,
So
b)
The domain of definition of F is
i.e., all the plane X-Y except the (0,0)
c)
Here we want to find all the points such that
where k is a real number other than 0.
But this means
So, all the points in the line y = -x except (0,0) are parallel to the vector field F, that is, the points (x, -x) with x≠ 0
Answer:
1) n=-12
2) y=-8
3) x= 1/30
Step-by-step explanation:
1) 7+n=-5
7+n-7=-5-7
n=-12
2) 18=-3y-6
-3y-6=18
-3y-6+6=18+6
-3y=24
-3y/-3 = 24/-3
y= -8
3) 3/5x=18
3/15 X 5x= 18 X 5x
3=90x
90x/90= 3/90
x= 1/30
Answer:
first table shown x and second table shown y function.
Its B because B is the one that gives you most of the detail
First you need to find the slope of the line. So what you need to do is y^2-y^1 / x^2-x^1
(x^1, y^1) (x^2, y^2)
( -1, 7) ( 2, 10)
10-7/ 2- (-1)
3/3=1
slope is 1
I got 8 as the y intercept. Reason how is that I made a table. And what I did was go back instead of going forward.
x y
-1 7
0 8
1 9
2 10
The answer would be x= 1 y= x + 8 y=8 But the answer choice you listed for A. would not match up the 2 coordinate you gave. Make sure a. should be x= 1 y= x + 8 y=8, not -x y= 8-x y=8
