4 0.10 that is answer of this question
x = 5
y = -1
Step-by-step explanation:
from second equation,
by putting the value of y in first equation
- y = -x + 4
- -1 = -x + 4
- -x = -1 -4
- -x = -5
- x = 5
x = 5 and y = -1
Answer:

Step-by-step explanation:
The given function is

By the triangle inequality property,

and the alternate triangle inequality property;

We apply this property to get:

Expand parenthesis to get:

Simplify to get:

Group similar terms to get:


When x>5,

That's;

Answer:
Result;

Step-by-step explanation:
Where:
F(x, y, z) = 2(x·i +y·j +z·k) and
S: z = 0, z = 4 -x² - y²
For the solid region between the paraboloid
z = 4 - x² - y²
div F
For S: z = 0, z = 4 -x² - y²
We have the equation of a parabola
To verify the result for F(x, y, z) = 2(x·i +y·j +z·k)
We have for the surface S₁ the outward normal is N₁ = -k and the outward normal for surface S₂ is N₂ given by

Solving we have;

Plugging the values for N₁ and N₂, we have

Where:
F(x, y, z) = 2(xi +yj +zk) we have




= 32π.