Step-by-step explanation:
<u>A</u><u>B</u><u>C</u><u>D</u><u>E</u><u>F</u><u>G</u><u>H</u><u>I</u><u>J</u><u>K</u><u>L</u><u>M</u><u>O</u><u>P</u><u>Q</u><u>R</u><u>S</u><u>T</u><u>U</u><u>V</u><u>W</u><u>X</u><u>Y</u><u>Z</u>
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:
12 shirts
Step-by-step explanation:
If a T-Shirt Launcher can launch 6 shirts in 30 minutes, that means it can launch 12 shirts in an hour, because there are 60 minutes in a hour, and 30 minutes is half os 60 minutes, so we just do 6 x 2 = 12.
Answer:
1st ans
(8x+19)=(9x+9)(vertically opposite angle)
19-9=9x-8x
x=10
2nd ans
(3x-31)=(x+59)(exterior alternate angle)
3x-x=59+31
2x=90
x=90/2
x=45
3rd ans
(5x-33)+(6x+4)=180(straight angle )
11x-29=180
11x=180+29
x=209/11
x=19
Can you show the multiple choice one