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:
74,745,000,000
Step-by-step explanation:
First, you take the power and you move the decimal point over that man places:
7.4745 x 10 to the 10th power
Decimal point moves over 10 places to the right
= 74745,000,000
If the power was negative, you would move it left
Hope this helps!
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Around 17,225 cats could be estimated to live in the town
A function for which every element of the range of the function corresponds to exactly one element of the domain. One-to-one is often written 1-1. Note: y = f(x) is a function if it passes the vertical line test.
* J,K,&L are coplanar
* K is the midpoint of JL
* J,K,&L are collinear
* Jk=KL