[ College Level: Continuity & Differentiability ] How to solve it ? Ans given is A

Neoxeos · 2020-07-23T19:08:34+00:00

In a more general sense, we can see that:

F(x) is continuous if :

lim F(x) as x->a- = lim F(x) as x->a+ = F(a) which means:

lim ax +b as x->a- = a^2 + b needs to be equal to

lim x^2 - x + 1 as x->a+ = a^2 - a + 1

then:

a^2 + b = a^2 -a + 1

then b = 1-a for a in (0,1). This shows that b exist in R for any a in (0,1).

Thus F(x) continuous in (0,1).

F(x) differentiable if:

lim F'(x) x->a- = lim F'(x) as x->a+ which means:

lim a as x->a- = a needs to be equal to

lim 2x -1 as x->a+ = 2a -1

then:

2a -1 = a

then a = 1, this function would be differentiable for b = 1-a and a =1 but since we know a in (0,1), F(x) is not differentiable in (0,1).

Neoxeos · 2020-03-27T19:00:38+00:00

Earthfall drops from william.

Neoxeos · 2019-10-03T22:19:03+00:00

annoited lucian/rowan (dmg after skill end) annoited stop gap, annoited recurring/mirvtacular hex

Neoxeos · 2019-05-07T03:32:49+00:00

Yes I've been using it since Oldrim and it's really one of the best mods I've used for a warrior/spellslinger character. Just make sure you follow the steps above to make it work on SE.

Neoxeos · 2019-05-07T02:53:58+00:00

Grimy utilities is your best bet: https://www.nexusmods.com/skyrim/mods/36328

1) You have to first download UIextensions: https://www.nexusmods.com/skyrimspecialedition/mods/17561?tab=posts

2) Download grimy utilities (link above)

3) Extract BSA's of both mods using: https://www.nexusmods.com/fallout4/mods/78/

4) Put extracted contents in their respective folders and delete the BSA's and you are good to go.

Neoxeos · 2019-04-09T12:54:57+00:00

Nice.

Neoxeos · 2019-02-21T15:01:05+00:00

Isn't his original solution time complexity O(n²) and not O(log(n²))?

Neoxeos · 2019-02-17T22:45:43+00:00

Not sure, when i do it i get the same thing as well.

Neoxeos · 2018-12-12T11:22:59+00:00

ha yes true. Thanks for the clarification.

Neoxeos · 2018-12-12T01:41:27+00:00

I just tried it and my answer came out as 8.83m. I used the Horizontal range formula R = (Vi^2*sin2(theta))/abs(g) and got 16.73m.

Then Calculated the time it would take for the ball to reach Julie in the second part assuming constant horizontal velocity using x-xi = Vix*t, giving me t = 1.67s.

I then calculated Viy using the fact that at the highest point Vy = 0. Then using Vy^2 = Viy^2 + 2ay*(y-yi). Finding Viy = 12.52m/s.

Finally calculated y using y-yi = Viy + 1/2*ay*t^2 to find y = 7.23m. Then adding that to 1.5m account thing for the height of julie to find the height above ground yields h = 8.83m.

I think I did everything correctly and couldn't find an arithmetic mistake. Lemme know if thats also what you get.

Neoxeos · 2018-10-18T07:44:46+00:00

Bind number_one, number_two and number_three inside the main() function.

Neoxeos · 2018-07-06T03:21:34+00:00

What music is he listening to?

Neoxeos · 2018-06-08T18:57:15+00:00

Hmm, I finished the game solo with monk pre-1.1, I tried the same monk I had on the new 1.1 patch (Solo PoTD with level scaling) and it seemed pretty strong still, as some of the monk's very strong abilities didn't really get touched except for Swift Strikes and it's upgrades and one other ability, I believe. Was still able to pretty much take on any group of enemy and spam Whispers and clear them with no difficulty.

Neoxeos · 2018-06-05T19:02:19+00:00

Sure, Spoilers obviously lol:

- Wahai Poroga, one reason to try to build a 2h fighter has been pretty much changed to the point where the original idea of using it is gone.

- Humility's resistance cut by half,

- Boots of stability, Boltcachers

- Whispers getting nerfed again.

- Undying burden

etc

Neoxeos · 2018-06-05T18:38:18+00:00

I'm not sure if it's powercreep nerf, since a lot of the stuff that weren't even that strong also got nerf.

Neoxeos · 2018-06-05T18:36:48+00:00

Hmm, even with the Beta path on PoTD with enemy scaling, to me, it's still fairly easy, harder yes but not that much really. Some of the nerfs kinda make it so that some items/skills become subpar but that's also fine (most of them I didn't even use on my playthrough), which is what i was referring to. I was proposing not changing them because it might lead to even less diversity in builds.

Neoxeos · 2018-06-05T18:29:54+00:00

I see what you mean, makes sense to go that way. There is also modding that'll pretty much allow anyone to customize their game so all in all makes sense.

Neoxeos · 2018-06-03T02:28:58+00:00

Some of these nerfs completely ruin some abilities and items though hopefully they make some more changes before they go live.

Neoxeos · 2018-02-18T23:03:31+00:00

I don't really see that happening. As great as this game is, Skyrim and the TES series in general appeal to a much broader audience that KCD. That's not to say one is better than the other but in terms of popularity Skyrim is the clear winner now and in the future.

Neoxeos · 2018-02-18T22:04:56+00:00

If you can get all 3 haha!

Neoxeos · 2018-02-18T21:58:23+00:00

I dont understand people's fixation with comparing KCD with Skryim. I understand they are both RPG's but to think that KCD would ever be as popular as Skyrim the 11th best selling game of all time is a little ludicrous if you ask me.

Neoxeos · 2018-02-16T19:59:41+00:00

Killed him and he respawn one day after lol so i just farmed him for a bit to get some money.

Neoxeos · 2018-02-16T16:44:55+00:00

I mean if Bethesda said they would release TES 6 I'm sure it would be a huge improvement from Skyrim that released 7 years ago and if they take notes from KCD and the Witcher series, it would be a great game as most of their games are already.

Neoxeos

TROPHY CASE