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3 years ago

Solve this equation for A: A ÷ 2 = 4

2 answers:

8 0

A divided by 2 equals 4.

1) do inverse operation which is multiplication
2) do 2 times 4
3) that equals 8
4) now we plug it in a= 8
5) we check our work....
8/2 = 4
Yay! it fits now we know our answer a=8 is correct!

Natali5045456 [20]3 years ago

5 0

The answer to the equation is 8

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nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

$\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)$

$\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}$

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

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