Add 5 then add 4 is the sequence
Parameterize the paraboloidal part by
and the planar part by
both with and .
For the paraboloidal part, take the normal vector to be
and for the planar part,
The flux over the paraboloidal part (call it ) is
and over the planar part (call it ),
but this integral vanishes because the dot product is 0. So the total flux over (the boundary of the given region ) is
###
Confirming with the divergence theorem: the divergence of the given vector field is
By the divergence theorem, the flux is equivalent to the volume integral
(where the integral was set up with cylindrical coordinates)
You would do 5^2•3.14
Which would equal 78.5
So D is ur answer
1. The area of a rectangular barnyard is given by the trinomial 4x ^ 2 + 4x-3. What are the possible dimensions of the barnyard? Use factoring
4x ^ 2 + 4x-3
For this case, the first thing we must do is factorize the given expression.
We have then factoring:
(2x-1) * (2x + 3)
Therefore the dimensions of the rectangle are:
(2x-1)
(2x + 3)
Answer:
the possible dimensions of the barnyard are:
(2x-1)
(2x + 3)
2. The area of a rectangular picture frame is given by the trinomial 6x ^ 2-11x-72. What are the possible dimensions of the frame? Use factoring
6x ^ 2-11x-72
For this case, the first thing we must do is factorize the given expression.
We have then factoring:
(3x + 8) * (2x-9)
Therefore the dimensions of the rectangle are:
(3x + 8)
(2x-9)
Answer:
the possible dimensions of the frame are:
(3x + 8)
(2x-9)
24+3x <span>≥ 100
-24 -24
3x </span><span>≥ 76
</span>÷3 <span>÷3
</span><span>
x = 25.3
</span>