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:
No.
Step-by-step explanation:
Change it so that both fractions would have the same denominator. Note that what you do to the denominator, you must also do to the numerator.
Multiply 3 to both the numerator & denominator of 8/20
(8/20)(3/3) = 24/60
24/60 ≠ 25/60 ∴ these 2 fractions are not proportional.
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Answer:
65.8179...
Step-by-step explanation:
its 65.8179...
15+(10-x)=15 would be your equation if that is what you are looking for.
Answer:oop
Step-by-step explanation: