The divergence theorem applies since

is a closed surface. We have

where

is the space enclosed by the surface

. The divergence of the given vector field is

So we can write the volume integral (in spherical coordinates) as
Peyton's mistake was in Step 3, so the correct answer is C.
They added an extra negative sign when it wasn't needed.
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Answer: By adding 2 to y and subtracting x by 3.
Step-by-step explanation: Let’s use the equation y = x since it’s simple. In order to translate an equation anywhere to the right, you have to subtract x by a unit. Since it’s 3 units, the equation is now y = x - 3. To translate an equation down, you have to add a unit to y. Since the questions asks for two units, add 2 to y. The equation should now be y + 2 = x - 3.
The formula of a density is
p = M/V
where p is a density, M is a mass and V is a volume.
Given M = 3.4 kg and V = 2,300 mL or 2,300 cm<span>³, therefore
</span>p = 3.4 kg / 2,300 cm³ = 1.48 x 10⁻³ kg/cm³
Firstly, you should find how many square yard is in one square foot.
One square yard= Nine square feet.
then, in order to find the area, you need to multiply 12 by 8, which gives you 96 square feet.
In order to find the square feet, you need to divide 96 by 9 (as 1 square yard is equal to 9 square feet)
When you divide these, you get 10.66
Therefore, Amy needs 10.66 square yards of carpet.
Hope this helps :)