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help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 13:59:11
Can someone give me a hint for this?
https://cdn.discordapp.c…20406_205617.jpg
20220406_205617.jpg
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 13:59:42
it says f is a differentiable function and is defined on the real set of numbers
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 13:59:56
The answer is 7 but idk how that's the case
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
261,933,205,387,477,000
riemann
04/06/2022 14:14:24
show what you've tried
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:16:11
first i thought since there a limit exists, the limit must be in the form of 0/0 so I found f(0)=0
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:16:19
so i input x=1 and y=0
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:16:42
but the one cancels out leaving only f(0)=0 again
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:16:55
so im lost on how to find f(1)
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:17:15
I tried manipulating all sort of ways but still didnt find anything
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:17:53
im also not sure how to differentiate the function, do i use implicit differentiation or do i treat y as a constant as the question never stated that f(x)=y
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:18:22
@riemann
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:19:08
Do i treat y as a function of x or is it a constant?
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
261,933,205,387,477,000
riemann
04/06/2022 14:21:38
tricky problem.
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
261,933,205,387,477,000
riemann
04/06/2022 14:23:18
f(0) = 0 follows from the definition with x=y=0. f(0+0) = f(0) = f(0) + f(0) + 0 and subtract f(0) from both sides
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
261,933,205,387,477,000
riemann
04/06/2022 14:27:28
Yea 7 is the right answer. You have to look at $f'(1) = \lim_{h\ra 0}\frac{f(1+h) - f(1)}{h}$.
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
510,789,298,321,096,700
TeXit
04/06/2022 14:27:30
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
261,933,205,387,477,000
riemann
04/06/2022 14:27:46
you don't need to
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
261,933,205,387,477,000
riemann
04/06/2022 14:27:54
nope, just do the limit
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:28:10
oooh i think i get it
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:28:20
ok ill try that
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:29:55
ooh
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:29:58
thanks a lot
1
0
null
null
null
null
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1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
261,933,205,387,477,000
riemann
04/06/2022 14:30:05
:catthumbsup: fun problem
0
1
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:30:22
the solution was a lot simpler then i thought
1
0
null
null
null
null
null
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:30:34
:catthumbsup:
1
0
178,019,451,772,469,250
mrlordsaif
2786
mrlordsaif
false
1,732
help-10
f1dff5905f36406faaf0b66aca59f69e
178,019,451,772,469,250
mrlordsaif
04/06/2022 14:32:55
.close
1
0
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
845,959,241,432,956,900
Msvyx
04/06/2022 15:26:52
why is sin^-1(sin(x)) not always equal x
1
0
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
356,908,116,429,897,700
Kaynex
04/06/2022 15:27:58
sin(x) doesn't have an inverse. This can be seen with a horizontal line test
0
1
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
485,164,773,647,056,900
Gooaaa
04/06/2022 15:28:12
,w arcsin(sin((2)) and arcsin(sin(1))
0
1
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
356,908,116,429,897,700
Kaynex
04/06/2022 15:28:41
But if we cut some of the function away, we can create a different version of sin that does have an inverse!
0
1
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null
null
null
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1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
356,908,116,429,897,700
Kaynex
04/06/2022 15:29:20
,w graph sin(x) between -π/2 and π/2
0
1
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
510,789,298,321,096,700
TeXit
04/06/2022 15:29:23
Results provided by WolframAlpha
0
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261,933,205,387,477,000
riemann
2529
riemann
false
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
356,908,116,429,897,700
Kaynex
04/06/2022 15:29:59
That clipped sin is invertible. We choose to call its inverse sin^-1
0
1
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
356,908,116,429,897,700
Kaynex
04/06/2022 15:30:56
arcsin doesn't correctly invert any value of x that's outside of that range, and needs to be "fixed" if you are using such an x.
0
1
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
845,959,241,432,956,900
Msvyx
04/06/2022 15:35:02
i dont understand this part
1
0
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null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
845,959,241,432,956,900
Msvyx
04/06/2022 15:36:28
i understand why we did the restricted domain so we can have a one to one function but i dont rlly understand why sin^-1(sin(x)) after the domain restriction is not equal to x all of the time
1
0
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
845,959,241,432,956,900
Msvyx
04/06/2022 15:38:57
an example when sin^-1(sin(x)) dose not equal x would help
1
0
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
485,164,773,647,056,900
Gooaaa
04/06/2022 15:45:55
range of sinx is [-1,1] you cannot get any y values out of that range in real numbers, sinx=2 doesn't exist in R, the inverse of sin of x, with x any value outside of the range will not equal to x
0
1
178,019,451,772,469,250
mrlordsaif
2786
mrlordsaif
false
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
485,164,773,647,056,900
Gooaaa
04/06/2022 15:46:15
for example arcsin(sin(2)) no equal to 2
0
1
178,019,451,772,469,250
mrlordsaif
2786
mrlordsaif
false
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
356,908,116,429,897,700
Kaynex
04/06/2022 15:49:03
Let's work in degrees, so we can be more clear. The restriction is between (-90,90). sin^-1 will always assume that a value comes from this range. So, for example, sin^-1(sin(150°)) = sin^-1(1/2) = 30°
0
1
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
356,908,116,429,897,700
Kaynex
04/06/2022 15:50:23
Because the only input, in that range, which outputs 1/2, is 30°
0
1
null
null
null
null
null
1,733
help-10
c332f3189f424a1d8a71a6a9fec2d122
845,959,241,432,956,900
Msvyx
04/06/2022 15:56:39
alrrrr tysm
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:25:09
https://cdn.discordapp.c…4631/unknown.png
unknown.png
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:25:15
need help with this
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:25:22
just started learning it today and am very confused
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:26:47
When solving a limit, your first step is to check if the function can actually just be evaluated at that point (ie. just plug in the number and see if it is defined)
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:27:27
so i would plug in 3 for x and get 9-2 which would be 2
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:27:29
correct?
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:27:43
9-7, but yes
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:27:50
correct
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:27:52
square root of 2 doesnt work does it
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:27:59
Yes, it does
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:28:05
sqrt(2) is a number
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:29:04
The places where it "doesn't work" are when you get an "indeterminate form"
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:29:14
ah okay
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:29:18
so ive tested and it works
1
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356,908,116,429,897,700
Kaynex
7520
Kaynex
false
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:29:21
where would i go from here
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:29:29
You're done
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:29:40
wait what
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:29:46
The limit of a continuous function is just its value at that point
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:29:59
so the answer is square root of 2?
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:30:09
Yes
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:30:21
wow i way overthought that okay
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:30:42
Most questions will be harder, but occasionally it will just be something like this
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
415,595,394,110,849,000
nHail
04/06/2022 19:31:02
Sort of a trick question
0
1
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:31:15
yea i was looking at the other examples and they are much harder
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:31:24
alright welp that was pretty easy to understand thank you
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
781,559,207,056,244,700
Bacon Pig
04/06/2022 19:32:27
and also for the answer i would just use square root of 2 because its easier than doing the math and getting a decimal correct?
1
0
null
null
null
null
null
1,734
help-10
dacf814a1630458696999a8ece0675b1
731,564,436,372,062,200
Charlie69
04/06/2022 19:34:49
boobz
0
1
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null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 21:55:25
https://cdn.discordapp.c…1256/unknown.png
unknown.png
1
0
null
null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 21:55:35
why CDF doesn't have an C?
1
0
null
null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 21:55:47
and another question i'm integrating PDF
1
0
null
null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 21:55:55
and getting CDF/beta + C
1
0
null
null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 21:55:59
what i did wrong?
1
0
null
null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 21:58:41
or i simple ignore C ?
1
0
null
null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
734,794,827,077,648,600
yes sam
11/11/2021 22:06:43
While solving you will be getting the limits of integration
0
1
null
null
null
null
null
1,735
help-10
e82048db48b3489d97a3ec857288261d
734,794,827,077,648,600
yes sam
11/11/2021 22:06:59
For ex P(1<X<2)
0
1
null
null
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1,735
help-10
e82048db48b3489d97a3ec857288261d
510,789,298,321,096,700
TeXit
11/11/2021 22:07:49
**it's Sam**
https://cdn.discordapp.c…827077648586.png
734794827077648586.png
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:08:16
so i ignore C cause when i do definite integration they cancel out
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:08:18
ok,
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:08:26
but what do i do about 1/Beta
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help-10
e82048db48b3489d97a3ec857288261d
734,794,827,077,648,600
yes sam
11/11/2021 22:08:47
What bout it
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:09:36
i'm integrating $\int{\frac{e^{-(z+e^{-z})}}}{{\beta}}dz$
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:09:54
where $z = \frac{x - y}{\beta}
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help-10
e82048db48b3489d97a3ec857288261d
734,794,827,077,648,600
yes sam
11/11/2021 22:10:15
Isn't beta in denominator
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help-10
e82048db48b3489d97a3ec857288261d
734,794,827,077,648,600
yes sam
11/11/2021 22:10:35
Wait I'll type out integration in some time
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:11:03
https://wikimedia.org/api/rest_v1/media/math/render/svg/e09e74a68cf5035d35d98a8a7effacd2b3ffd854
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:11:06
here
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:11:13
https://cdn.discordapp.c…7448/unknown.png
unknown.png
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:11:17
i'm integrating this
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:11:38
where
https://cdn.discordapp.c…9818/unknown.png
unknown.png
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help-10
e82048db48b3489d97a3ec857288261d
734,794,827,077,648,600
yes sam
11/11/2021 22:11:44
And what's the problem you are facing
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:12:00
and gettin this divided by beta
https://cdn.discordapp.c…3016/unknown.png
unknown.png
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help-10
e82048db48b3489d97a3ec857288261d
734,794,827,077,648,600
yes sam
11/11/2021 22:12:35
Ok can you show workings
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:12:44
yeah
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:12:46
wiat a sec
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help-10
e82048db48b3489d97a3ec857288261d
816,501,840,304,406,500
Guilhotina
11/11/2021 22:15:04
https://cdn.discordapp.c…11112_001446.jpg
20211112_001446.jpg
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Guilhotina
6649
Guilhotina
false
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:15:05
,rotate
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help-10
e82048db48b3489d97a3ec857288261d
510,789,298,321,096,700
TeXit
11/11/2021 22:15:07
https://cdn.discordapp.c…449154207754.png
802715449154207754.png
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help-10
e82048db48b3489d97a3ec857288261d
802,715,449,154,207,700
Guilhotina
11/11/2021 22:15:11
here
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