3 years ago

Find the distance between b and d

Mathematics

1 answer:

ASHA 777 [7]3 years ago

3 0

Answer: 15

Step-by-step explanation:

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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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3 years ago

During a 5-year period, 48% of snowstorms in a certain city caused power outages. Thirty dash nine of the snowstorms did not

beks73 [17]

Answer:

Step-by-step explanation:

48% of snowstorms caused power outages, which means 52% did not.

Therefore, 39 is 52% of all snowstorms.

39 = 0.52x

x = 75

There were 75 snowstorms over the 5-year period.

4 0

3 years ago

Nick and Tasha are buying supplies for a camping trip. They need to buy chocolate bars to make s’mores, their favorite campfire

Harlamova29_29 [7]

Answer:

9/10

Step-by-step explanation:

first you find the lowest common denominator. 1/2 becomes 5/10, 2/5 becomes 4/10. 5/10+4/10=9/10

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4 years ago

Anyone who answers this correctly I WILL GIVE U A SUPER THANKS

Inga [223]

Answer:

Step-by-step explanation:

4x+8+72=180

4x+80=180

180-80=100

100/4=25

x=25

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3 years ago

F(x)=2x+3<br> What would the ordered pair be if x=-2?

pogonyaev

(-2;-1)
-2 is X
-1 is Y

3 0

3 years ago

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Find the distance between b and d​

Find the distance between b and d