Answer: I think it’s 5 I’m not sure
Step-by-step explanation:
Answer: The answer is 1833 heads and 11 hours, 11 minutes.
Step-by-step explanation: Given that the Magic Dragon has 2013 heads. The brave Leo is cutting off the Dragon's heads at a speed of 5 heads per minute. But, the Dragon's heads are growing back at a speed of 2 heads per minute.
So, the number of heads of Dragon that are decreasing per minute = 3.
Therefore, after 1 hour, i.e., 60 minutes, The number of heads of the Dragon
= 2013 - 60 × 3 = 2013 - 180 = 1833 heads.
Now, the fight will last until all the heads of the Dragon are cut. Let the fight lasts for 'x' minutes, then

Hence the fight lasts for 671 minutes, i.e., 11 hours and 11 minutes.
Thus, the Dragon will have 1833 heads after 1 hour and the fight will last for 11 hour and 11 minutes.
Answer:
A ray is known as a half-infinity line. As it starts from a point while the other end is pointing towards the direction till infinity.
As already discussed ray shows a direction as well, therefore, it is a vector quantity and is denoted by an arrow over the line name.
As shown below a ray can be drawn. therefore, which is starting from point A and continuing toward the right side infinity.
Step-by-step explanation:
I know math :)
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
Bloody nose again check lol