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# Science & Mathematics

## Discover

• 0

### Finding Derivative of a Point?

g(x) = 4x² - 2x + 15 ← this is a function

g(5) = 100 - 10 + 15 = 105 → the representative curve of the function passes through (5 ; 105)

g'(x) = 8x - 2 ← this is its derivative

g'(5) = 40 - 2 = 38 ← this is in fact the slope of the tangent line to the curve at point (5 ; 105)

g(x) = 4x² - 2x + 15 ← this is the function → to calculate the derivative:

Lim [g(x₀ + h) - g(x₀)] / h

h → 0

Lim [ { 4.(x₀ + h)² - 2.(x₀ + h) + 15 } - { 4x₀² - 2x₀ + 15 } ] / h

h → 0

Lim [ { 4.(x₀² + 2x₀.h + h²) - 2x₀ - 2h + 15 } - 4x₀² + 2x₀ - 15 ] / h

h → 0

Lim [4x₀² + 8x₀.h + 4h² - 2x₀ - 2h + 15 - 4x₀² + 2x₀ - 15] / h

h → 0

Lim [8x₀.h + 4h² - 2h] / h

h → 0

Lim h.[8x₀ + 4h - 2] / h

h → 0

Lim (8x₀ + 4h - 2) = 8x₀ - 2

h → 0

g'(x₀) = 8x - 2

g'(5) = 40 - 2 = 38 ← this is the same result (above)

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### How many light years old is mars?

4.5 Billion Years old

And it came here  from the Kessel run at less than 12 Parsecs

27 AnswersAstronomy & Space3 days ago
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### How fast is ludicrous speed ?

10 AnswersAstronomy & Space21 hours ago
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### How far is a 5k?

3 ounces short of 1 cup.

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### Which planets (or other bodies) in our solar system are the least difficult to colonize?

Mainly Mars, because it is the easiest to get to, besides the Moon

Venus can actually come Closer but it is a different story

Mars can be walked on with a Protective Suit to help breathing  and stave off Solar radiation

But a lot of Smart work over time could actualoly make things more comfortable for us Humans

What Mars mostly lacks is Mass

Mass = Gravity

If Martian Mass was increased so would its Gravity and the Densness of its Atmosphere

If the Mass of Mars was increased to 80% of Earth's, the Gravity would be quite similar to Earth's

Over time, the Mantle would become more liquid till it creates a proper protective Magnetosphere

All that with Breathing apparatus could do away with suits

On the Long term the CO2 in the Atmosphere plus what gets added from the surface as it sublimes would help Vegetation to grow with a bit of effort

Ever Watch the Film, The Martian with Matt Damon

There is no reason it wouldn't work

Plants use CO2 and produce Oxygen, which is handy

So the sooner we start Terraforming the Better

9 AnswersAstronomy & Space1 day ago
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### Did astronauts land on the far side of the moon, just wondering why we can’t see evidence with telescopes ?

9 AnswersAstronomy & Space1 day ago
• 5

### How do I solve 15^x-8+5=62 And round 3 places past the decimal?

Exponential and log equations

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### If a star 600 hundred light years away went super nova how big would the explosion have to be for people to see it is less than 600 years?

You could see it sooner than 600 years if you have a powerful telescope pointed at the Nova.  The scope would be able to see the light from the explosion before the light reaches Earth.

12 AnswersAstronomy & Space3 days ago
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### Will Alyssa Carson have the first Mars’ new born?

So she’s being trained to go in a 1 way ticket to Mars and stay there until she died. Does that means she’s getting trained to have babies in Mars to populated the planet with humans?

7 AnswersAstronomy & Space4 days ago
• 140

### Has anyone else besides me just learning that NASSA faked the moon landing? ?

30 AnswersAstronomy & Space5 days ago
• 17

### If there is life on other planets, does that mean they are also not technologically advanced enough to visit Earth?

Since we can't seem to reach them, and they can't seem to reach us, is it fair to say that there's not many planets that have yet to surpass us in technology?

12 AnswersAstronomy & Space3 days ago
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### Could an island like Guam really tip over if it had too many people on it ?

Like Democrat congressman Hank Johnson said

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### Is "grizzly" bear an offensive term?

I'm sure he would be offended if he self identifies as a (bi)polar bear.

• 2

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### Percentage question ?

The price of gas increases by 25%. By what percentage must a customer reduce the consumption so that the earlier bill on the gas doesn't alter?

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### How attractive is Uranus for human exploration?

6 AnswersAstronomy & Space1 day ago
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