Explain how to find the equation of a tangent line to a curve using differential calculus and explain why such a line is useful.

Q. Explain how to find the equation of a tangent line to a curve using differential calculus and explain why such a line is useful?

I know the usual process to find the equation of tangent line. The process is, find a derivative of the function at that point, which will be the slope of the tangent line at that point. Then we use the point-slope formula to point the equation of the tangent.

I am a little bit confused about the use of that tangent line. Could you please explain to me, what is use of this tangent line?

blockchain – how to find the block height from merkle root?

I have the merkle root, using this value, how to get the block hash or its height?
There is this merkle root available in getblock RPC output:

./bitcoin-cli getblock 0320d6c1bd3c4cd2a08d6f76acb50b06a3ed766b058d247fbda3147aecfef388
{
  "tx": [
    "bccf4c873984245694f64263a3392c4d67c6a6f60efe4ed53aa4965f6d8b7dc0"
  ],
  "hash": "0320d6c1bd3c4cd2a08d6f76acb50b06a3ed766b058d247fbda3147aecfef388",
  "confirmations": 2,
  "size": 180,
  "height": 102,
  "version": 536870912,
  "versionHex": "20000000",
  "merkleroot": "bccf4c873984245694f64263a3392c4d67c6a6f60efe4ed53aa4965f6d8b7dc0",
  "num_tx": 1,
  "time": 1593523883,
  "mediantime": 1593467398,
  "nonce": 1,
  "bits": "207fffff",
  "difficulty": 4.656542373906925e-10,
  "chainwork": "00000000000000000000000000000000000000000000000000000000000000ce",
  "previousblockhash": "1664a604a6c8e603e311c6759f7693343ad77896c53de1bcef37de04dbcbbbc5",
  "nextblockhash": "1924c8db1b986f398a12d5481fcc293913a2dab2ee7fbcb0e131d7941e5201c2"
}

using different transaction hashes, I got the merkle root value, now I need to know which block has this merkle root as in getblock.

Find the probability that the point P is closer to the centroid than the sides.

A point ‘P’ is picked uniformly at random inside a regular hexagon. Find the
probability that the point P is closer to the centroid than the sides.

I am thinking that a circle should be inscribed in that hexagon and then the probability= the area of the circle/ the area of the hexagon. But I am not finding any way how to do that and I am also not sure is it right or not. Please help.

I don’t find Black women attractive at all. Am I a racist that should vote for Donald Trump?

It is true many Black Women are mean I dated a mean Black Woman.

You date whoever you want you shouldn’t put Trump into this conversation because he doesn’t like PC nonsense and you must be crazy for thinking you are Racist just because you don’t find Black Women attractive many Black Men don’t find Black Women Attractive.

That’s why many Black Men are dating Asians.

 

findinstance – What should I do to find an instance that meets the requirements

In a non-obtuse triangle $triangle ABC$, the sides of the triangle satisfy the following conditions a^2 > b*c , b^2 > a*c and c^2 > a*b. Now we need to verify whether the inequality $$(a + b + c) (b^2*c + c^2*a + a^2*b + b*c^2 + c*a^2 + a*b^2) <= 6 (a^2*b^2 + b^2*c^2 + c^2*a^2)$$ always holds.

triangle = 
  a > 0 && b > 0 && c > 0 && a + b > c && a + c > b && b + c > a;
nonObtuseAngle = 
  a^2 + b^2 >= c^2 && a^2 + c^2 >= b^2 && b^2 + c^2 >= a^2;
additionalConditions = a^2 > b*c && b^2 > a*c && c^2 > a*b;
FindInstance(
 triangle && nonObtuseAngle && 
  additionalConditions && (a + b + c) (b^2*c + c^2*a + a^2*b + b*c^2 +
       c*a^2 + a*b^2) <= 6 (a^2*b^2 + b^2*c^2 + c^2*a^2), {a, b, 
  c}, Reals, WorkingPrecision -> 100)
ForAll({a, b, c}, 
 triangle && nonObtuseAngle && 
  additionalConditions, (a + b + c) (b^2*c + c^2*a + a^2*b + b*c^2 + 
     c*a^2 + a*b^2) <= 6 (a^2*b^2 + b^2*c^2 + c^2*a^2))
Resolve(%)

I use the above method to verify that this inequality heng is established, but the FindInstance function cannot find an instance that meets the requirements.

What should I do to find an instance that meets the requirements.

Find WordPress sites hosted by specific hosting provider

I’m looking to potentially upgrade my WordPress hosting to improve performance. I’ve read through How to find web hosting that meets my requirements?. However, before moving my site to a new provider, I’d like to “test” the hosts’ performance prior to signing up.

I know that it’s possible to lookup who hosts a particular domain, but are there any tricks to doing this in reverse? I.e., is it possible to look up what domains are using WordPress hosted by a particular hosting provider?

Google Sheets formula to find rows with matching values, looking up in multiple columns

What would be the Google Sheets formula to search for a matching value in a range that goes across multiple rows an columns? For example I need to search the entire range H:P (all rows and columns) and find the cells with a matching value, if any. Ultimately in this case I need just a list of the row numbers where a matching cell is found. In the screenshot there are two matches highlighted in green. There is a match on O2, and on M3. So in this case I need a result like “2,3”.

I have tried various things for several hours with no luck. Most examples of formulas that I could find and understand are about looking up in either a single column, or row.

Any help appreciated! Thank you!

range to be searched

How can i find cryptofree ‘s website admin??? Help me please

I have a problem in cryptofree website and i search for admin but still didnt successful too find him
Any one know how can i find him?
I have requested for witdrawal but i put wrong btc wallet and its still pending for many days…

plugins – Find out number of page visits to WP repo page?

Is it possible to know how many visits my plugin page gets on the WordPress repo? For example; lets say I own the plugin https://wordpress.org/plugins/my-plugin. Is there a way to know how many people visit that exact page? I know as the plugin owner I can see how many people download the plugin that day. But what about how many people just visit that page (and decide not to download my plugin)?

Is it possible for me to place some google analytics in my readme to record such information? This information would help me know; are people finding my plugin but not deciding to download it (which suggests I need to fix the readme content) or that people are just not finding my plugin.

*Apologies if this kind of question is not allowed on this forum.

dnd 5e – Where can I find advice on adapting characters from past editions to 5E?

There’s an official guide published by Wizards of the Coast on converting material from previous editions of D&D to 5e, though WotC don’t exactly make it easy to find thanks to the awful site navigation design. It appears to be most recently linked from the article Rules References: August 2017 – the specific PDF can be found at this link.

The first part focuses on converting player characters from previous editions, and includes DM sections about converting races and equipment. The second part focuses on converting adventures/modules, including monsters from those modules. Obviously in the first instance they always just suggest using whatever updated version already exists in 5e, but where no such equivalent exists, there are “quick conversion” rules you can follow to make a quick & dirty monster that at least has all the necessary stats in roughly sensible values to run as a 5e creature, but if you want to do a more detailed conversion it largely suggests simply recreating the monster from scratch as a 5e entity using the DMG’s rules for designing new monsters.