2 years ago

Please proved explanation for answer.

Mathematics

1 answer:

Semenov [28]2 years ago

8 0

Answer:

inverse it and do fx and gx inverse its value

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Use the definition of the derivative to differentiate v=4/2 pie r^3

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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2 years ago

Select the graph that would represent the best presentation of the solution set.<br> \absP > 3

m_a_m_a [10]

Answer:

Step-by-step explanation:

there's no graph selection attached. Can you upload it and then I can help?

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2 years ago

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2 years ago

Tonya has a box that measures 12 cm by 7 cm by 19cm. what is the volume of the box. Please help

kaheart [24]

Answer: 1,596 cubic cm. To find the volume, you need to multiply all the three sides given.

Step-by-step explanation:

12cm * 7 cm* 19cm = 1596 cm^3

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At a butcher store, 5 1/2 pounds of hamburger meat are divided into 11 equal packages. How many pounds of meat will each package

Alex787 [66]

Answer:

each pack is 1/2 pound

Step-by-step explanation:

5.5 is 1/2 of 11

5.5/11=1/2

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3 years ago

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