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.
The lesser x is 2 and the greater x is 3. The x values can be determined by setting each set of numbers in parenthesis equal to 0, so 3x-6=0 and -x+3=0. To solve, take the first set, 3x-6=0 and divide by the greatest common factor, 3, leaving you with x-2=0. Add 2 to each side so that x=2. On the other side, take -x+3=0 and subtract three from each side. Take your new equation -x=-3 and multiply by -1 so that x=3. Therefore x=3 and x=2.
Answer:
$170
Step-by-step explanation:
Let's say that x represents the amount of hours, so therefore, x will be replaced by 3:
y = (40 * 3) + 50
So, solve inside the parentheses:
y = (40 * 3) + 50
y = 120 + 50
Solve:
y = 120 + 50
y = 170
So, a jet ski would cost $170 to rent for 3 hours
Hope this helps :)
Answer:
p=6
Was option B supposed to be 6 instead of -6?
Work:
2/3p-8=-2p+8
2p-24=-6p+24
8p=48
p=6
Answer:
Let the numbers be x and y
x+y=100
x-y=95
taking x-y=95
x=95+y
x+y=100
95 + y +y = 100
2y=100-95
y=5/2
y=2.5
x=95+y
x=95+2.5
x= 97.5
Hope it helps...............
