Yahoo Answers is shutting down on 4 May 2021 (Eastern Time) and, as of 20 April 2021 (Eastern Time), the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
- All categories
- Science & Mathematics
Discover
- 0Upvotes of all answers to this question
Finding Derivative of a Point?
Favourite answer: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)
4 AnswersMathematics13 hours ago - 31Upvotes of all answers to this question
How many light years old is mars?
Favourite answer:4.5 Billion Years old
And it came here from the Kessel run at less than 12 Parsecs
27 AnswersAstronomy & Space4 days ago - 3Upvotes of all answers to this question
How fast is ludicrous speed ?
10 AnswersAstronomy & Space23 hours ago - 11Upvotes of all answers to this question
- 5Upvotes of all answers to this question
Which planets (or other bodies) in our solar system are the least difficult to colonize?
Favourite answer: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 - 11Upvotes of all answers to this question
- 5Upvotes of all answers to this question
How do I solve 15^x-8+5=62 And round 3 places past the decimal?
Exponential and log equations
7 AnswersMathematics16 hours ago - 24Upvotes of all answers to this question
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?
Favourite answer: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 - 4Upvotes of all answers to this question
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 - 140Upvotes of all answers to this question
- 17Upvotes of all answers to this question
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 - 2Upvotes of all answers to this question
- 3Upvotes of all answers to this question
Could an island like Guam really tip over if it had too many people on it ?
Like Democrat congressman Hank Johnson said
6 AnswersPhysics22 hours ago - 11Upvotes of all answers to this question
How attractive is Uranus for human exploration?
7 AnswersAstronomy & Space2 days ago - 6Upvotes of all answers to this question
Is "grizzly" bear an offensive term?
Favourite answer:I'm sure he would be offended if he self identifies as a (bi)polar bear.
9 AnswersZoology3 days ago - 2Upvotes of all answers to this question
How many numbers between 100 and 300 begin or end with 2?
5 AnswersMathematics14 hours ago - 4Upvotes of all answers to this question
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?
5 AnswersMathematics14 hours ago - 11Upvotes of all answers to this question
round 475,695 to the nearest thousand?
13 AnswersMathematics4 days ago - 11Upvotes of all answers to this question
- 2Upvotes of all answers to this question
Have you ever seen the other side of the Moon?
7 AnswersAstronomy & Space2 days ago