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help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:08:06
https://cdn.discordapp.c…20124_220802.jpg
IMG_20220124_220802.jpg
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help-10
bc5360241bce42fba089d9816ea9d483
706,934,233,012,371,600
Ansh_
01/24/2022 09:08:24
oh
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help-10
bc5360241bce42fba089d9816ea9d483
706,934,233,012,371,600
Ansh_
01/24/2022 09:08:26
because
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257
help-10
bc5360241bce42fba089d9816ea9d483
706,934,233,012,371,600
Ansh_
01/24/2022 09:10:16
You were given an initial expression and (x - 3)(4x) accomplished it's task of removing the 4x² term from the dividend in the next step... so you're left with (4x² - 5x - 21) - (4x² - 12x) = (7x - 21) to divide by (x - 3)
0
1
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null
null
null
257
help-10
bc5360241bce42fba089d9816ea9d483
706,934,233,012,371,600
Ansh_
01/24/2022 09:10:58
basically, each step in the long division is meant to reduce the highest power terms remaining from the previous step
0
1
null
null
null
null
null
257
help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:11:03
ahhhh
1
0
null
null
null
null
null
257
help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:11:05
I got it
1
0
null
null
null
null
null
257
help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:11:11
So it have to be negative
1
0
null
null
null
null
null
257
help-10
bc5360241bce42fba089d9816ea9d483
706,934,233,012,371,600
Ansh_
01/24/2022 09:11:14
Genius >_< !!
0
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help-10
bc5360241bce42fba089d9816ea9d483
706,934,233,012,371,600
Ansh_
01/24/2022 09:12:12
SO? think you got a grasp on long division in polynomials?
0
1
null
null
null
null
null
257
help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:12:43
meh, i still suck in math but
1
0
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null
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help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:12:49
At least i understand how this work so
1
0
null
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null
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help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:12:52
thanks anyways
1
0
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help-10
bc5360241bce42fba089d9816ea9d483
432,090,910,738,743,300
Ohio Final Boss
01/24/2022 09:13:05
.close
1
0
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null
null
null
null
258
help-10
84368c0e285f4132a9dee2848cfd56ad
340,615,557,692,784,640
SlyDaw
11/04/2021 17:19:03
https://cdn.discordapp.c…2052/unknown.png
unknown.png
1
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help-10
84368c0e285f4132a9dee2848cfd56ad
340,615,557,692,784,640
SlyDaw
11/04/2021 17:19:23
can someone tell me what i did wrong
1
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help-10
84368c0e285f4132a9dee2848cfd56ad
340,615,557,692,784,640
SlyDaw
11/04/2021 17:19:30
do i just have to state more than one ?
1
0
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help-10
84368c0e285f4132a9dee2848cfd56ad
463,643,948,691,357,700
liks
11/04/2021 17:25:47
c is not a local maximum because the function takes greater values just to its left
0
1
null
null
null
null
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258
help-10
84368c0e285f4132a9dee2848cfd56ad
463,643,948,691,357,700
liks
11/04/2021 17:26:33
However s is a local minimum, maybe you need to add d as well dont ask me how
0
1
null
null
null
null
null
258
help-10
84368c0e285f4132a9dee2848cfd56ad
463,643,948,691,357,700
liks
11/04/2021 17:26:50
And b is a local minimum @SlyDaw
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1
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null
null
null
null
258
help-10
84368c0e285f4132a9dee2848cfd56ad
890,579,222,052,106,200
nothing5
11/04/2021 17:30:01
what is local maximum then?
0
1
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null
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null
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help-10
84368c0e285f4132a9dee2848cfd56ad
463,643,948,691,357,700
liks
11/04/2021 17:32:49
r
0
1
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null
null
258
help-10
84368c0e285f4132a9dee2848cfd56ad
890,579,222,052,106,200
nothing5
11/04/2021 17:33:20
ah ye
0
1
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help-10
84368c0e285f4132a9dee2848cfd56ad
890,579,222,052,106,200
nothing5
11/04/2021 17:33:41
i though the left of c was closed
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SlyDaw
9010
SlyDaw
false
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help-10
84368c0e285f4132a9dee2848cfd56ad
890,579,222,052,106,200
nothing5
11/04/2021 17:33:46
zoomed the pic
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liks
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liks
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help-10
84368c0e285f4132a9dee2848cfd56ad
890,579,222,052,106,200
nothing5
11/04/2021 17:33:49
it was open
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1
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null
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help-10
84368c0e285f4132a9dee2848cfd56ad
890,579,222,052,106,200
nothing5
11/04/2021 17:33:53
🙃
0
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help-10
84368c0e285f4132a9dee2848cfd56ad
890,579,222,052,106,200
nothing5
11/04/2021 17:34:01
should we close the channel
0
1
null
null
null
null
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259
help-10
66958264e0ac462eb635d061364f2207
711,226,895,483,535,400
INACTIVE
01/24/2022 09:21:37
Hey in the solution, why is it specifically written the the function is continuous at 0 when it’s continuous everywhere?
https://cdn.discordapp.c…054/IMG_0596.jpg
IMG_0596.jpg
1
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null
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259
help-10
66958264e0ac462eb635d061364f2207
186,109,587,366,215,680
Omegabet_
01/24/2022 09:23:13
cause at x != 0, they're obviously continuous
0
1
null
null
null
null
null
259
help-10
66958264e0ac462eb635d061364f2207
186,109,587,366,215,680
Omegabet_
01/24/2022 09:23:31
at x=0 you had the chance of a discontinuity, so they're empathsizing that it *is* continuous at x=0
0
1
null
null
null
null
null
259
help-10
66958264e0ac462eb635d061364f2207
711,226,895,483,535,400
INACTIVE
01/24/2022 09:24:10
But why was there a chance of discontinuity at x=0?
1
0
null
null
null
null
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259
help-10
66958264e0ac462eb635d061364f2207
356,908,116,429,897,700
Kaynex
01/24/2022 09:36:59
Because there's a piecewise there. One can easily create discontinuities this way. You'd have to check, and they did.
0
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259
help-10
66958264e0ac462eb635d061364f2207
186,109,587,366,215,680
Omegabet_
01/24/2022 09:39:05
cause the function changes at 0
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INACTIVE
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INACTIVE
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259
help-10
66958264e0ac462eb635d061364f2207
711,226,895,483,535,400
INACTIVE
01/24/2022 09:40:59
Ohh got it
1
0
null
null
null
null
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259
help-10
66958264e0ac462eb635d061364f2207
711,226,895,483,535,400
INACTIVE
01/24/2022 09:41:01
Thanks…
1
0
null
null
null
null
null
259
help-10
66958264e0ac462eb635d061364f2207
711,226,895,483,535,400
INACTIVE
01/24/2022 09:41:07
.close
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:00
https://cdn.discordapp.c…7024/unknown.png
unknown.png
1
0
711,226,895,483,535,400
INACTIVE
9772
INACTIVE
false
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:06
i sovled it and plug into my calc
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:09
and i get the bottom answer
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:20
im using sin sum and diff formula
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:26
and i am adding because its the + formula
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:27
a+b
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:37
i changed it from adding to subtracting and i got the correct answer
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:18:40
why are you subtracting
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:19:15
in other wrods i did (7/25)(2sqrt(13)/13) ***+*** (24/25) (3sqrt(13)/13)
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:19:33
whereas the answer was (7/25)(2sqrt(13)/13) ***-*** (24/25) (3sqrt(13)/13)
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:20:17
wait is it cause it can be positie or negative
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
714,940,112,324,001,900
goodguyneo
01/24/2022 10:20:20
why don't u use the sin(a+b ) formula what do u get by doing that
0
1
null
null
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260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:20:28
i did but i got the wrong answer now
1
0
null
null
null
null
null
260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:20:30
but its fine i see why
1
0
null
null
null
null
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260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:20:39
i didnt see they gave the domain at the top
1
0
null
null
null
null
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260
help-10
6d11938d785d4cb6ba53750398dfef8f
350,026,982,685,409,300
hydrolox
01/24/2022 10:20:40
.close
1
0
null
null
null
null
null
261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:44:41
Hi, I have a question about injectivity
1
0
null
null
null
null
null
261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:01
So for the following function I am asked to find f^-1
1
0
null
null
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null
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261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:02
https://cdn.discordapp.c…7951/unknown.png
unknown.png
1
0
null
null
null
null
null
261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:15
we find this
1
0
null
null
null
null
null
261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:16
https://cdn.discordapp.c…8266/unknown.png
unknown.png
1
0
null
null
null
null
null
261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:24
Which leads to this conclusion
1
0
null
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null
null
261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:25
https://cdn.discordapp.c…0122/unknown.png
unknown.png
1
0
null
null
null
null
null
261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:33
I am a bit confused on the intervals though?
1
0
null
null
null
null
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261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:46
How did we find the intervals for this?
1
0
null
null
null
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261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:45:48
thanks
1
0
null
null
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null
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261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:47:59
Also I am confused why it says {x,-x/2} if x=+-2 for example
1
0
null
null
null
null
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261
help-10
ebcad4149ea9476fba706219026da836
227,858,073,497,108,480
rice
01/24/2022 10:48:12
Should it not rather be {x,-x/2} if y=+-2?
1
0
null
null
null
null
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261
help-10
ebcad4149ea9476fba706219026da836
706,934,233,012,371,600
Ansh_
01/24/2022 11:00:43
You start with the definition of injectivity. f(x1) = f(x2) => x1 = x2 And so, you equate f(x1) = f(x2) to check whether this function f(x) is injective or we need to break it into intervals to make it into injective. Also, notice that f^-1 exists iff the function is surjective in the codomain defined and it indeed i...
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help-10
ebcad4149ea9476fba706219026da836
706,934,233,012,371,600
Ansh_
01/24/2022 11:03:33
Also, notice that you're not really asked for f^-1 but rather f^-1({f(x)}) which is actually the image of the inverse of the function... which in the interval (-2, 2) will follow the quadratic (x1)^2 + (x1)(x2) + (x2)^2 - 3 = 0 and hence, the part f^-1({f(x)}) = those scary roots and x in the interval (-2, 2)
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help-10
ebcad4149ea9476fba706219026da836
706,934,233,012,371,600
Ansh_
01/24/2022 11:05:30
put x1 = 2 to check for equal roots case in the quadratic obtained earlier to get f^-1({f(x)}) = {x,-x/2} for x = ±2
0
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261
help-10
ebcad4149ea9476fba706219026da836
706,934,233,012,371,600
Ansh_
01/24/2022 11:06:32
However, the Discriminant D < 0, for x1 not lying in [-2, 2] and so the only possible image of the inverse of f(x) in the interval [-2, 2]^c is {x}
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help-10
ebcad4149ea9476fba706219026da836
706,934,233,012,371,600
Ansh_
01/24/2022 11:06:52
@rice
0
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help-10
ebcad4149ea9476fba706219026da836
706,934,233,012,371,600
Ansh_
01/24/2022 11:07:13
Hope that fills you in on everything you want to know smh also, sorry for leaving you half way through the last time
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:01:27
how would i go about solving arcsec(sec(-2)) = 2
1
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:01:39
i know the answer i just need some help getting the method down
1
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help-10
86f76e6169d74990a81ee349c155b037
251,854,584,597,708,800
PapaBread
01/24/2022 12:06:51
Do you mean evaluating?
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227,858,073,497,108,480
rice
8702
rice
false
262
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86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:07:38
yes
1
0
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:08:14
idk first time doing double sec(sec(x)) and im kinda stuck
1
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:08:22
usually there is a sin/cos/tan in there
1
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:09:09
yes, but how does that help me solve it
1
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:09:23
wdym
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:09:55
secx is 1/cosx
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:10:05
cosx can give negative outputs
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:10:11
why cant secx do the same
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:10:59
maybe because the range for cos is 0 to pi
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456,226,577,798,135,800
Deleted User
0000
Deleted User
false
262
help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:11:27
nuuU
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86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:11:36
https://cdn.discordapp.c…556/IMG_0378.png
IMG_0378.png
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86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:11:43
heres a graph for secx
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:11:55
and yes it does have negative values
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help-10
86f76e6169d74990a81ee349c155b037
251,854,584,597,708,800
PapaBread
01/24/2022 12:12:02
arcsec doesn't
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86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:12:13
just wait
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:12:25
ok so how do i solve my thing 😭
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:12:25
you need to know that secx is an even function
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:12:46
meaning sec(-x) = sec(c)
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:12:57
arcsec is the inverse function of secx
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:13:14
=> arcsec(sec(-2)) = arcsec(sec(2))
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86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:13:17
= 2
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:13:20
wait
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:13:35
whaa
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help-10
86f76e6169d74990a81ee349c155b037
165,487,715,087,941,630
Deleted_User
01/24/2022 12:15:32
ok then let a = arcsec(sec(-2)) sec(a) = sec(-2) a = -2, why does here a not equal -2
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:15:50
it is…
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help-10
86f76e6169d74990a81ee349c155b037
649,984,702,010,359,800
leonard
01/24/2022 12:16:00
sec(2) is equal to sec(-2)
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