Max kept track of the number of each size of children's caps and each size of adult caps he had for some football teams in his s
2 answers:
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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.