#help-0

1 messages · Page 255 of 1

echo socket
#

.reopen

lone heartBOT
#

#

@shrewd ruin Has your question been resolved?

lone heartBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

floral shell
lone heartBOT
floral shell
#

how did they get to the next step?

#

the 16m on the first line is meant to be 16^m i believe

tacit arch
#

They factored out (m-1)/m all to the m-1 power

floral shell
#

what about these two lines?

#

how did the remove the 16s on the right of the first line

young finch
#

whats 16 with an exponent

floral shell
#

16^1?

young finch
#

yes

#

do you remember exponent multiplication rules

floral shell
#

wouldnt that become 16^m then?

young finch
#

yes

#

it looks like it should be factored out next

#

but it just dissapears

floral shell
#

but there was another 16^m

#

why did it disappear

young finch
#

oh wait thats not correct what i said

lone heartBOT
#

@floral shell Has your question been resolved?

#
Channel closed

Closed by @floral shell

Use .reopen if this was a mistake.

lone heartBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

dim plaza
#

working on this problem -- already figured out H3 and H5, but i'm blanking on what to do next for the error bound

dim plaza
#

here's what i have so far:

#

cant upper bound the 3rd derivative function -- this is what it looks like

lone heartBOT
#

@dim plaza Has your question been resolved?

lone heartBOT
#

@dim plaza Has your question been resolved?

dim plaza
ocean sealBOT
#

all lines are flat

dim plaza
#

actualyl wait i used a different theorem

#

i used this representation:

#

i used this iwth the divided differences table

#

for the H_j functions? those ive gotten already but im stuck on the bounds i have no idea where to go from the pic i sent

#

the H functions i got:

#

yeah, this is the formula for E(x)

#

i just don't know where to go from here

#

^reference

#

it's asking for the bound, doesn't that mean a general expression? not a specific f(1.25)-H_j(1.25)?

ocean sealBOT
#

all lines are flat

#

all lines are flat

dim plaza
#

how do i know what a and b are bounded by? is it just the data points?

#

ah yeah that was a typo i copied the quetsion down

#

oh okay

#

so in this case the max of f''' would be at the rightmost node?

#

awesome

#

okay

#

ill work on that

#

thank u so much

#

.close

lone heartBOT
#
Channel closed

Closed by @dim plaza

Use .reopen if this was a mistake.

lone heartBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

scenic wing
#

$(\sqrt{3} cos\theta)^2$

lone heartBOT
alpine sable
#

hello can anyone tell me if this is correct

scenic wing
ocean sealBOT
#

putridplanet

scenic wing
#

how do you solve this

subtle birch
scenic wing
#

do you square root 3

#

and costheta

alpine sable
#

Yes

scenic wing
#

separately

scenic wing
alpine sable
#

(ab)^2=a^2b^2

scenic wing
subtle birch
#

distributivity

alpine sable
scenic wing
#

draw a straight line through y=1 @alpine sable

alpine sable
subtle birch
alpine sable
#

wut do i hv 2 do next?

scenic wing
alpine sable
scenic wing
scenic wing
alpine sable
#

oh i line i drew is that x=1?

scenic wing
#

no the blue line you drew is y =1

#

the U^2 point mirrored will be where the W^1 is

#

(4,3) is where the mirrored D point will be

alpine sable
#

will be?

#

ty

scenic wing
# alpine sable ty

This geometry video tutorial focuses on translations reflections and rotations of geometric figures such as triangles and quadrilaterals. Transformations include horizontal and vertical translations, reflection about a line of symmetry such as the x-axis, y-axis and origin as well as rotating a figure clockwise and counterclockwise by 90 degree...

▶ Play video
#

watch this

alpine sable
#

ty i appreciate it

lone heartBOT
#

@scenic wing Has your question been resolved?

#
Channel closed

Closed by @scenic wing

Use .reopen if this was a mistake.

lone heartBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

golden flower
#

idk if this belongs here but does anyone know how to calculate square roots of complex numebrs with the casio fx-991ex? i know how to do it on paper but i thought something as simple as that should be able to be done by a calculator like that?

golden flower
#

i was in the mde that lets me use imaginary numbers, but it just says Math Error when i try to calculate it

lone heartBOT
#

@golden flower Has your question been resolved?

lone heartBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

lone heartBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

alpine sable
#

need explanation with the graph of {e^x}, where {.} represents the fractional part function.

echo socket
#

And what's confusing you about the graph of {e^x}?

alpine sable
#

I actually want to conclude whether its one one or many one

#

so I need help with the graph

vale wigeon
#

do you know what the graph of e^x itself looks like

vale wigeon
echo socket
#

thonk You definitely don't need a graph for that

vale wigeon
#

consider for example

#

call your function f(x) = {e^x}

#

what is f(ln(2))?

#

and what is f(ln(3))?

alpine sable
#

e^ln(2) and e^(ln(3))

#

2 and 3

alpine sable
vale wigeon
cloud chasm
vale wigeon
#

f(ln(2)) is {2} and not just 2.

#

what is the fractional part of 2?

alpine sable
vale wigeon
#

and that of 3?

alpine sable
#

0

vale wigeon
#

are you now able to draw the conclusion for your actual original problem

#

btw did you actually put your entire bday in your username 🤨

alpine sable
alpine sable
vale wigeon
#

the two do not seem related

#

i mean ok like you leave some ambiguity as to whether it's nov 6 or jun 11 but still thonk

alpine sable
#

oh it means that the above function has two roots, so we can conclude that it is many one?

vale wigeon
#

it has a lot more than two roots, but yes, we can conclude that it's not one-to-one.

#

it is not significant that they are roots

alpine sable
#

you can use the definition of injectivity to show this, or show a counter example like Ann asked you to

alpine sable
vale wigeon
#

read my message please

#

i said "significant", not "necessary".

#

these two are not at all the same.

alpine sable
#

why isn't it significant that they are roots?

vale wigeon
#

because it is only significant that the function has the same output at these two different inputs.

#

i could have had you calculate f(ln(2.5)) and f(ln(3.5)) for example

#

it would have been a counterexample to injectivity all the same, but ln(2.5) and ln(3.5) aren't roots of f.

#

the fact that f happens to output 0 at the two points i gave is only a coincidence.

alpine sable
#

i understand what roots are, so it wouldn't have confused me

#

but thankss sis

lone heartBOT
#

@alpine sable Has your question been resolved?

lone heartBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

stable grotto
lone heartBOT
stable grotto
#

find all natural n such that result is integer number

#

so result of dividion should be {...-3,-2,-1,0,1,2,3...}

#

this type of number

#

and n is Natural

subtle birch
#

what do you mean by dividion?

stable grotto
#

this whole expression should be integer

subtle birch
#

so you mean division?

stable grotto
#

i give you better picture

echo socket
#

Note that n has to divide 52

#

Okay maybe going through all natural divisors of 52 is tedious

#

I would try solving for n in the equation

subtle birch
echo socket
#

Unless you have a bunch of free time

stable grotto
#

So n must be divisor of 52 ?

echo socket
#

Yes

stable grotto
#

why?

subtle birch
#

not ncessarily

echo socket
#

Because of the 2? thonk

fallen verge
#

Do polynomial long division

subtle birch
#

$\frac{52-3n^{2}+3n}{2n}=\frac{26}{n}-\frac{3}{2}n+\frac{3}{2}$

ocean sealBOT
#

beard420

echo socket
#

I didn't say it could be any divisor of 52

fallen verge
#

U sure bout that one?

stable grotto
#

i will try long division

echo socket
#

,w (52 - 3 * 52^2 + 3 * 52)/(2 * 52)

fallen verge
#

I would break into cases of n even or odd

subtle birch
#

$\frac{26}{n}-\frac{3}{2}n+\frac{3}{2}=\frac{1}{2}\left(\frac{52}{n}-3n+3\right)$
This should prove that $\left(\frac{52}{n}-3n+3\right)$ is even and thus $\left(\frac{52}{n}-3n\right)$ must be odd

ocean sealBOT
#

beard420

fallen verge
#

Beard you gotta slow down and let the helpee think a lil

stable grotto
#

so we should find all divisors of 52 such that 52/n-3n is odd number?

subtle birch
#

I guess

subtle birch
stable grotto
subtle birch
#

13 is also a divisor of 52

stable grotto
#

yy

subtle birch
#

Yep, that seems correct

stable grotto
#

so all n are : 1,4,13,52

subtle birch
#

Yes

stable grotto
#

tnx

#

.close

lone heartBOT
#
Channel closed

Closed by @stable grotto

Use .reopen if this was a mistake.

lone heartBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

maiden mulch
#

Im trying to divide hexadecimal numbers , I have AB:2 , I know using converters online that 55,8 should come out , but I cannot figure out how to get that ,8.

mortal trellis
#

do you know how to divide AB0 / 2 ?

maiden mulch
#

I look at how often 2 fits in A , that would be 5 times, then I look the same for B , it's 5 rest 1

#

so i have 55 written down

#

and i get stuck here

mortal trellis
#

ok lets take a step back and go back to base 10. if I ask you to divide 30/4, what do you do

maiden mulch
#

I just look at how often the 4 fits into 30 , it's 7 times , i multiply with 7 and subtract the result with 30

#

i then see that I can't fit 4 into the result , therefore I write a comma

#

I bring down a zero

#

I look how often the 4 fits in 20

#

it's 5 times

#

then I'm done

mortal trellis
#

I bring down a zero

#

now also do that in the other base

maiden mulch
#

It comes out to be 55,5

#

but if i convert AB in decimal it comes out to be 171

#

and 171 /2 is 85.5

#

85.5 in hexa is 55.8

mortal trellis
#

well you cant divide the 0 as if it was in base 10

maiden mulch
mortal trellis
#

2 goes into 10 8 times

#

in hexadecimal

maiden mulch
#

well that just cleared it up

#

holy shit thank you

mortal trellis
#

youre welcome

maiden mulch
#

.close

lone heartBOT
#
Channel closed

Closed by @maiden mulch

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

ebon heath
#

zero

lone heartBOT
ebon heath
#

how could I use the unit circle to solve bii ?

gray isle
#

identify the angles where the y-coord is -0.5

ebon heath
#

is it?

gray isle
#

that gives you one solution

#

and not using the unit circle as you initially requested

lone heartBOT
#

@ebon heath Has your question been resolved?

lone heartBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

heady finch
#

how many maxima and/or minima does f(x) = x^2 - 3x + 2 have?

heady finch
#

cus I get only one stationary point i.e. x = 3/2

austere silo
#

wdym how many

#

it can have more than one?

uncut torrent
#

,w plot x^2 - 3x + 2

heady finch
#

isn't that just one minima tho

austere silo
#

yes

#

because it can have only one as i know

#

since a>0 it cant have maxima

#

and it can only have minima

#

formula is (4ac-b^2)/4a

heady finch
#

aight

heady finch
ebon sparrow
ebon sparrow
#

,tex .quadratic formula

ocean sealBOT
heady finch
#

huh okay

#

I mean the graph says otherwise

austere silo
#

krishiv youre asking minimum value that can get right?

#

or maximum

#

whichever it has

heady finch
uncut torrent
#

those are different features

ebon sparrow
#

you sure?

uncut torrent
#

very

austere silo
#

and how can even function have 2 minimum values

ebon sparrow
#

,w calc x^2 - 3x + 2

uncut torrent
#

well if f(x) had a degree of 4, it would have two local minima

#

you're correct saying a function can only have one global maxima/minima

#

but im assuming Krishiv is asking about local stationary points

uncut torrent
#

anyways general rule of thumb is that a polynomial of degree N has at most N-1 stationary points

heady finch
#

the amount of them yeah

#

ah okay

#

yeah that makes sense

#

if it has say 2 stationary points, does it necessarily mean it has a maxima and a minima?

#

like does it alternate between maximas and minimas and vice versa

uncut torrent
#

,w plot x^3 + 2x^2

uncut torrent
#

like this?

heady finch
#

mhm yea

#

it has a maxima and a minima here

uncut torrent
#

yeah they usually alternate

#

there are special cases but its best to sketch a graph and see for yourself

heady finch
#

ah okay

#

also if I may ask
when do you know the first stationary point is a minima or a maxima

uncut torrent
#

uh

#

regarding just polynomials?

#

because theres a way to tell if a stationary point is a maxima or minima for any function

#

which is evaluating f''(x) and plugging in the x values where there are stationary points

#

say a stationary point occours at x_0, then if f''(x_0)>0 the stationary point is a minima, f''(x_0)<0 means the stationary point is a maxima

heady finch
#

yeah that clears that thanks a ton

#

.close

lone heartBOT
#
Channel closed

Closed by @heady finch

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

flat vale
#

I dont get this proof?

lone heartBOT
flat vale
#

what can we get from (n + 6)(n +7)?

echo socket
#

It implies that n^2 + 13n + 42 is a product of two integers both larger than 1, hence n^2 + 13n + 42 is never prime

flat vale
#

ahh icic cheers!

#

.close

lone heartBOT
#
Channel closed

Closed by @flat vale

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

alpine sable
lone heartBOT
alpine sable
#

Howdy, this is my little brothers homework. I have never understood math and cannot help him. He's stuck on part B, would anyone be able to explain?

wheat shell
#

to find for a) divide 132/360 x90

#

do the same for others

alpine sable
#

Thank you ! :-)

#

.close

lone heartBOT
#
Channel closed

Closed by @wispy jungle

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

tender anchor
#

i’m confused how to treat y gamma

lone heartBOT
tender anchor
#

like do is solve it as if it was e bc that’s eulers constant or do i treat it like it’s a random variable k or something that’s a constant idk

fallen verge
#

gamma is a constant like pi

tender anchor
#

okay

#

that kinda makes sense

#

wait is it like e tho like since the derivative of e^x = e^x does gamma^x = gamma^x? or is it gamma^x ln(gamma)?

fallen verge
#

The derivative of e^x is technically e^x×ln(e)

#

But ln(e)=1 so the derivative is e^x

#

To answer your question, gamma^x×ln(gamma)

tender anchor
#

ah i forgot yeah that makes sense thank you

small panther
#

Because you can write it as e^(x*ln(gamma))

tender anchor
#

gotcha

#

. close

#

.close

lone heartBOT
#
Channel closed

Closed by @tender anchor

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

versed ingot
#

Topic: Derivatves
Class: Calculus 1

I struggle to understand how we got the last equation

d/dx turns into f'(x), but then shouldn't it be [ f'(x) multiplied by xf(x) ] ? Where did the + come from?

fallen verge
#

By product rule, f(x)=f(x), g(x)=x

tardy stag
#

there's a bit of confusion in your statement. $\dv{x}$ is an operator, it can be applied to an expression such as $x^2$ or $xf(x)$ and means ``take the derivative of this thing with respect to x''

ocean sealBOT
#

Hayley

versed ingot
#

oh so d/dx isn't a fancy way of writing f'(x)? I thought it meant the thing

tardy stag
#

$f'(x)$ is the derivative of $f(x)$ with respect to $x$, and could also be written as $\dv{x}f(x)$

ocean sealBOT
#

Hayley

versed ingot
#

oh

tardy stag
#

or, rarely, $\dv{f(x)}{x}$ and if you've set $y=f(x)$ then you could say that's $\dv{y}{x}$

ocean sealBOT
#

Hayley

tardy stag
#

in this case we care about $\dv{x} [x\cdot f(x)]$ and to take the derivative of a compound expression like this we need to use the product rule, given in that first red circle

ocean sealBOT
#

Hayley

versed ingot
#

but where does the g(x) and g'(x) go? In the second expression they just dissapear? Are we allowed to take them off if they arent present?

tardy stag
#

we set $g(x) = x$ (to make the product rule match our expression), and the reason $g'(x)$ seems to disappear is because $g'(x) = \dv{x}g(x) = \dv{x}x = 1$

ocean sealBOT
#

Hayley

versed ingot
#

hmm E_think Interesting, thank you sm for all the info. I think I need to go and revisit the product rule by a youtube video. At least I know what to look for now, thank you!

#

.close

lone heartBOT
#
Channel closed

Closed by @versed ingot

Use .reopen if this was a mistake.

tardy stag
#

you might try practicing the product rule to differentiate things like x*sin(x), or x^2 * e^x

lone heartBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

fair hedge
#

Hey! I'd like some help with finding the inverse of this function. I've been getting y = 1 + v(x-1) and the answer is ||y = 1 - v(x+1)||. I've redone it four times and still can't figure out what's wrong... I'm sure it's something silly but I can't see it myself.

plain flame
#

what is the question

echo socket
#

We ought to pick the negative root because the it should be <= 1

fair hedge
echo socket
#

Yes, after switching x with y you get not only the equation x = y^2 - 2y, but also the inequality y <= 1

#

So after you complete the square and take square root of both sides, it becomes sqrt(x + 1) = |y - 1| = 1 - y

fair hedge
#

why absolute value?

echo socket
#

In general, sqrt(a^2) = |a| for all real numbers a

fair hedge
#

I didn't know that broke

#

Thank you

lone heartBOT
#

@fair hedge Has your question been resolved?

fair hedge
echo socket
#

x = y^2 - 2y
x + 1 = y^2 - 2y + 1
x + 1 = (y - 1)^2

fair hedge
#

if you add to one side doesn't it mean you have to subtract it from the other?

echo socket
#

1 = 1
1 - 1 = 1 + 1
0 = 2
?

#

Whatever you do to one side shall also be done to the other

fair hedge
#

Thank you

lone heartBOT
#

@fair hedge Has your question been resolved?

lone heartBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

hard aspen
#

Determine all possible sets of 6 consecutive positive integers such that the product of 2 of them added to the product of another 2 of them is equal to the product of the remaining 2 numbers.

hard aspen
#

i got about as far letting the 6 integeres be x-5,x-3,......x+3,x+5

#

how would we know which of the pairs are being added and which pair is the sum?

slender gull
#

"Determine all possible sets..."

#

@hard aspen

surreal meadow
hard aspen
#

oh damn im a moron

slender gull
#

That too.

hard aspen
#

i somehow took that as "in ap"

#

how would we go about it?

quiet vector
#

ap with diff 1

hard aspen
#

yeah

quiet vector
#

i think brute force would work... just try the combinations; probly a smarter way tho

lone heartBOT
#

@hard aspen Has your question been resolved?

hard aspen
#

think i got it! thank you

lone heartBOT
#
Channel closed

Closed by @hard aspen

Use .reopen if this was a mistake.

lone heartBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

warped topaz
lone heartBOT
warped topaz
#

I am stuck on this one

#

I got the derivative but I dont know what to do next

#

Normally I would then set the derivative equal to zero and then solve to get the critical points but its not really possible with this

#

Cause of all of the e's and x's

#

My derivative is (8x^7)(e^-4x)+(-4e^-4x)(x^8)

#

Like how tf do I solve this shit, is there no other way?

prime sluice
#

Take 4e^-4x common factor

warped topaz
#

4e^-4x(2x^7 + x^8)

fickle hamlet
prime sluice
#

The term you took can never be zero

#

So you're left with 2x^7 +x^8

prime sluice
#

Take x^7 common factor

warped topaz
prime sluice
#

4 is always 4

fickle hamlet
prime sluice
#

e to the power of anything can't make it equal to zero

#

So you can just cancel the e term

warped topaz
warped topaz
fickle hamlet
prime sluice
#

Nah just in general there is no special case where a power can make a number equal zero afaik

prime sluice
fickle hamlet
warped topaz
prime sluice
warped topaz
#

What does that become?

#

(4.x^7.*e^-4) this bit

prime sluice
#

That bit can only equal zero if x = 0

fickle hamlet
warped topaz
#

Why not?

prime sluice
#

So youre left with x = 0 or 2

warped topaz
fickle hamlet
#

its like for exampe you get sin x=2 its not possible its kinda like that

prime sluice
fickle hamlet
warped topaz
fickle hamlet
warped topaz
#

Oh ok

prime sluice
warped topaz
#

Okok I get you guys

#

So then it is increasing on x=0?

#

Is that the answer?

prime sluice
#

No

fickle hamlet
#

no differentiate it again and then check at point its maximum or minimum

prime sluice
#

Or maybe don't, it's already an annoying derivative to work with

#

Crit points are points where no increase or decrease occurs

warped topaz
#

The critical points are 0 and 2, should it only be increasing after 0?

warped topaz
prime sluice
#

When the derivative is negative it's decreasing, when it's positive it's increasing g, so yes

#

It's increasing from 0 to 2

fickle hamlet
warped topaz
#

This was the answer

prime sluice
prime sluice
warped topaz
#

I did nothing haha

#

Good job YOU guys hahaha

#

And thank you both

#

❤️

#

.close

lone heartBOT
#
Channel closed

Closed by @warped topaz

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

alpine sable
#

I got sqrt(3x-1)*sqrt(6x+1)=0 and I've honestly got no idea where to start.

vapid shuttle
#

What is the question?

alpine sable
#

To solve the equation

vapid shuttle
#

Can you send a picture of the original question?

alpine sable
#

Yes

#

The question: Solve.

#

Quite literally the question if i translate it

vapid shuttle
#

So, there are a few ways you could do this. But 1 method is to know that if you are multiplying 2 things together, the only way their product equals 0 is if 1 (or both) of them is zero

#

does that make sense?

alpine sable
#

Yes

#

That makes total sense

vapid shuttle
#

if a*b=0, then a (or b) (or both) equal 0

#

so focus on one thing at a time

ocean sealBOT
#

austinu

vapid shuttle
#

solve for when this is equal to 0

alpine sable
#

so sqrt(1-3x)=0

vapid shuttle
#

another useful property that arises here is that sqrt(a)=0 only when a itself is equal to 0

fickle hamlet
#

if there isnt any common range there there is no value for x

alpine sable
#

i was taught i could do 1-3x=0^2 after which it becomes 1-3x=0?

vapid shuttle
#

The question isn't asking for the domain @fickle hamlet

vapid shuttle
alpine sable
#

1/3

#

It's gotta be

vapid shuttle
#

mhm

#

so if x=1/3

#

then that square root goes to 0

alpine sable
#

Yes

vapid shuttle
#

then the whole product goes to 0

#

and you have 1 solution

alpine sable
#

i need 2 solutions

vapid shuttle
#

Now find the other solution by doing the same process with the other square root

fickle hamlet
alpine sable
#

sqrt(6x+1)=0

#

6x+1=0^2

#

6x+1=0

vapid shuttle
#

It is asking to solve for the roots of the equation (i.e solve for the values of x for when this takes on 0)

alpine sable
#

Hm

#

-1/6

vapid shuttle
#

yes

#

x=1/3, and x=-1/6

alpine sable
#

But that's pretty easy this way

fickle hamlet
alpine sable
vapid shuttle
#

There are no integer solutions

#

so no, it is not

alpine sable
#

i am not permitted to use calculator

#

They are all solvable without

vapid shuttle
#

It is okay manuel, they thought you were asking a different question

alpine sable
#

Okay

#

This makes perfect sense t hough

#

But then I've got another one that is confusing me

vapid shuttle
#

sure

fickle hamlet
#

then the answer has got to be 1/3 or -1/6

alpine sable
#

i'm thinking 4(1-x)=(x+2)^2

#

To get rid of the sqrt

fickle hamlet
#

yea

alpine sable
#

perfect

#

then i understand that

#

i understand all that must be done after that myself

#

i got one more that i wont be able to do

fickle hamlet
#

yesss

#

send

alpine sable
#

this is probably the hardest one in the list

#

I would think x(8-0.5x)=2x^2

fickle hamlet
#

yeahhh

alpine sable
#

but that probably is not correct

#

Oh

#

Is it?

fickle hamlet
#

yeahhh

alpine sable
#

I'm getting the hang of it

fickle hamlet
#

but keep on checking the condition

#

that the equation or terms under the sq. root should be positive

#

btw what class are u in

alpine sable
#

idk what it is in english

#

I'm from the netherlands

#

thats why my english is horrible

#

especially with math related things

fickle hamlet
#

dw i m not an englishman either

alpine sable
#

well we got 8 years of like first school

#

when u are 4 years old u go there

#

till youre 12

#

then we have 3 levels basically

#

of education

#

basically practical education practical+theoretical and theoretical

fickle hamlet
#

ohhokayyokaayyy

alpine sable
#

practical is the lowest

#

practical theorethical is middle

#

i completed that this year

#

after 5 years

#

btw practical lasts 4, practical + theoretical 5, theoretical 6 years

#

and now im going to do fully theoretical and i must catch up this math stuff

#

But i don't have a teacher so it's all self study

fickle hamlet
#

wow it went over my head but best of luck man

alpine sable
#

Lol

#

it's so hard to explain education system

#

it's not going to make sense really

#

i think it's also not a good system but it's whatever

#

i finally understand this stuff aswell

#

that's really good

fickle hamlet
alpine sable
#

Very true

#

some people are just later with development

#

and they get assigned to something that doesn't fit and they don't have a choice

fickle hamlet
#

u just gotta educate urself

alpine sable
#

Yeah

#

I'm doing that now

#

But it's hard with no teacher really so I'm trying to figure it all out

#

Kinda sucks

fickle hamlet
#

i dont really thing its the maths that help in our life i think its just

#

how we deal with prblm in our lives that maths or school actually teaches us

alpine sable
#

yes

#

school doesnt teach that much though

#

most is learning from experiences to me

#

that's what works better for me

#

also school forcing me to learn stuff definitely does not work

#

i remember till the test and then it's gone

#

pretty pointless

fickle hamlet
#

offfccccc i hate testss

alpine sable
#

metoo

#

although with enough stress i perform really well

#

idk what it is

#

the more stress the better i perform

fickle hamlet
#

if i were to make a choice i would def choode no exams, tests etc

alpine sable
#

me too

#

but some people would learn literally nothing

#

so i guess it has some use

#

it forces people to educate themself a bit

fickle hamlet
#

yupppp sometimes it also makes them humble idk how bt it does

alpine sable
#

It depends on the person definitely

#

i just solved another one of these

#

it went smooth

#

i am definitely understanding it

fickle hamlet
#

did u check the condition

alpine sable
#

I think the problem is i forgot also the parenthese (after making the sqrt go bye bye i should parenthese what was under it )

#

I don't think we get negatives

#

It's above our level of education

#

Right now at least

fickle hamlet
#

ohhitss finee then

alpine sable
#

yes

#

but the thing is

#

i saw the exams of what i must do

#

shit is complicated asf

fickle hamlet
#

broo i m giving like the hardest uni exams ever

alpine sable
#

you already in uni damn

#

thats why im doing this

#

i can't go to uni without this

#

so i must

#

But i get 2 more years of education before the exam

fickle hamlet
alpine sable
#

So i should be able to get it done

alpine sable
#

Me too

#

but for me it's 2 years left

#

I'm going for some high grades for math though

#

since i'll need to also study german and i'm horrible at it so i must compensate 😭

fickle hamlet
#

i got like 1 year left

alpine sable
#

Sweet

#

the faster the better

fickle hamlet
#

i think we r of the same age cause i enrolled in the school 1 year before the others

alpine sable
#

i'm very early student aswell

#

but i got delayed 1 year since i'm switching the level of education to a higher one

#

it would've been 1 year left

#

so i'm probably a bit older actually

fickle hamlet
#

ohhhokayyokayy

alpine sable
#

It's whatever though some dude on my school finished this shit when he was 14

#

crazy guy

#

I'll be 18 when I'm done

#

Some people are genius

#

i respect it

fickle hamlet
alpine sable
#

almost 18 though

#

i finish in july and my birthday is august

fickle hamlet
#

tell me ur birth year man

alpine sable
#

2006

fickle hamlet
#

heyy u r older than me

#

i m a 2007

alpine sable
#

My sister is too

#

we will be in the same class next year

#

very unfortunate

fickle hamlet
#

nah its fineee u will atleast know everything that will be goin with u sister

alpine sable
#

Noooo

#

it's terrible

fickle hamlet
#

whyy ??

alpine sable
#

she's a snitch

#

and i don't pay much attention in class

#

and a friend of mine switches also so we go together and have some fun

#

but she's not really into fun

#

she sees school as the shit

fickle hamlet
#

okayy thats sad then

alpine sable
#

yeah

#

it's unfortunate

#

but she's got more brains than me

fickle hamlet
#

man i wish i had a sis

alpine sable
#

no you don't wish

#

it's terrible

fickle hamlet
alpine sable
#

i can guarantee

#

I rather have like 4 brothers than 1 sister

#

But i have 0 brothers unfortunately

fickle hamlet
#

no man i m a girl if i had a sis i could take all her thinks

alpine sable
#

oh

#

then it's different

fickle hamlet
#

things*

alpine sable
#

But i guarantee you wouldnt want that

#

i got 2 sisters

#

my little little sister

#

doesn't want my older sister shit

#

because it's all seocnd hand

#

and she wants her own stuff

fickle hamlet
#

well i got 5 cousins sis we grew up tgt so i kinda know bt still

fickle hamlet
alpine sable
#

maybe

fickle hamlet
#

u can never leave the good stuff

alpine sable
#

but my little sister is almost taller than my older sister

#

I got messed up hard

#

for like 3 years i was smaller than my sister

#

now i'm taller fortunately

fickle hamlet
alpine sable
#

Yes

#

3 years tho

#

It was not very hopeful

fickle hamlet
#

i m short tho and my mom is conctantly telling me that i have 1 yeah to grow an inch taller

alpine sable
#

1 year to grow an inch should be easy

fickle hamlet
#

so i kinda get u

alpine sable
#

i'm now pretty tall actually

fickle hamlet
alpine sable
#

i'm 185cm

#

but still nto that tall

#

i think my sleep schedule messed up my growth aswell

#

i shouldve been 190cm

fickle hamlet
alpine sable
#

i sleep 4 hours every day since i cant sleep

alpine sable
#

but females are often much smaller

#

My sister is 173cm

#

And not growign anymore

fickle hamlet
alpine sable
#

it depends where u are from ofcourse

fickle hamlet
#

i can sleep anywhere everywhere

alpine sable
#

here in the netherlands you would be fucked

fickle hamlet
#

at anytime

alpine sable
#

everything is built around tall people

alpine sable
#

my eyes burn always

#

but say i'm in sp ain

#

spain

fickle hamlet
#

see i m from india so u cant really say

alpine sable
#

i keep hitting my head

#

on everything

#

They are not that tall i think

fickle hamlet
#

i wish i was tall

alpine sable
#

You are not far below average

fickle hamlet
#

idk man my dads like pretty tall

#

my moms not

alpine sable
#

how tall is your brother

fickle hamlet
#

he is young

alpine sable
#

Oh

#

so you wont know

#

that's unfortunate

fickle hamlet
#

yuppp

alpine sable
#

but i can reassure you

#

being 185cm already is pretty tall everywhere and it's not that useful anymore

#

i think 175cm is enouogh for men except in netherlands

#

in netherlands you wont be good

fickle hamlet
#

he will be tall thats what my aunt told me when she was looking at his feet

alpine sable
#

the supermarkets are built with very high places for items

fickle hamlet
#

still dk how tho

alpine sable
#

I don't want to say anything about this but i will

#

My cousin

fickle hamlet
#

no no say it

alpine sable
#

has much smaller feet than me

#

but hes taller

#

5cm even

#

but im not done growing

#

so maybe your aunts theory will work out

fickle hamlet
#

is it a race then

alpine sable
#

I don't know

fickle hamlet
alpine sable
#

but i dont think feet size and how tall you will be are that attached to each other

alpine sable
#

Yeah

#

lol

fickle hamlet
#

btw is that ur cat

alpine sable
#

No

#

i am allergic to cats

fickle hamlet
#

why did u put it has ur pic then

alpine sable
#

Cause it's looking funny

#

look at the gif

fickle hamlet
#

uk a cat once scratched my mom

alpine sable
#

cats are not so smart i believe

fickle hamlet
#

ever since then i keep asking my mom for a cat

alpine sable
#

they are unpredictable

#

I don't like unpredictable

#

but they do look nice

#

and i think they can be nice

fickle hamlet
#

they are fine u give them their spave they give u urs

alpine sable
#

but i'm more into dogs

#

I want a dog

fickle hamlet
#

and my brothers loves animals he is into dog too

#

but i m def gonna get a cat for my mom

alpine sable
#

i hope she will accept it

#

getting scratched isnt fun

fickle hamlet
#

offc i jst ask it to tease her

#

annoying ur mom is fun till she doesnt beat yo ass

alpine sable
#

Yea my mom aint beatin me no more

#

it's great to be taller than your parents

#

they can't do shit

#

I respect them

#

but i won't allow them to push me anymore

#

im not a little kid anymore

fickle hamlet
#

i wish i could do that

alpine sable
#

it's not just about height

#

i go to the gym too

fickle hamlet
#

bt i kinda get where they are coming from

fickle hamlet
alpine sable
#

not that often

#

3 times a week max

fickle hamlet
#

man if u were infront of me rn i would def flex my muscles saying that line

alpine sable
#

I'm not the kind of guy that will go to the gym every day and take some steroids etc

alpine sable
#

it is totally not good

#

Low testostoron is a big issue but giving everyone hrt is not a good idea definitely

fickle hamlet
#

idk never went too gym not just didnt have the time too

alpine sable
#

make time

#

it really makes you have less problems in life

#

you will feel more secure

#

you can beat up some men if they harras you

fickle hamlet
#

i cant dude the uni exams gives me no time for nothing

alpine sable
#

It

fickle hamlet
#

i think men in general are pretty scared of me

alpine sable
#

It's said that learning full time is less effective than learning for a bit then do something different relaxing and then do learn again

alpine sable
#

You have been to the gym

#

or you work out at home

#

or you are just strong from yourself

fickle hamlet
#

i dont work out man not my ting

alpine sable
#

it's no one things

fickle hamlet
alpine sable
#

i dont really enjoy it either but after it feels good

#

so i keep going anyways and eventually it got into my rythm and now i dont mind

fickle hamlet
#

i dont think men fear me bcz of looks i just think it how i carry myself around them that makes it pretty intimidating

fickle hamlet
alpine sable
#

my mom always tells me im intimidating

#

i dont really see it as a compliment though

#

For females its a compliment

#

but not for males i think

#

it makes you look arrogant

fickle hamlet
alpine sable
#

big ego

fickle hamlet
#

flaunt it

alpine sable
#

Maybe

fickle hamlet
#

theres no maybe the answer is yes

alpine sable
#

I think its the combination of being tall and being pretty big in size

fickle hamlet
alpine sable
#

185cm with 80kg

fickle hamlet
alpine sable
#

i used to be thin asf

fickle hamlet
#

man putting up weight is hard

#

was it for u

alpine sable
#

Yes

#

But now it's good

fickle hamlet
alpine sable
#

i just ate a lot

alpine sable
#

i ate a lot

#

enough even

#

but i just wasnt gaining weight

#

so i just went to the gym and it made me big

#

and muscle is heavy

fickle hamlet
alpine sable
#

but i used to be the guy to eat the whole mcdonalds menu and be thin asf still

fickle hamlet
#

still dk a thing about gym\

alpine sable
#

but it's a blessing

#

i can never be fat

#

I just can't gain weight

fickle hamlet
#

uk i went to this celebration once with a sequin dress on

#

then i had just a plate of food

#

and i was preg with the food

alpine sable
#

Rip

#

but it's often

#

you get a bit bloated after eating

#

after couple hours it's gone

#

i have that too a bit

fickle hamlet
#

man i did the pregnant photoshop on that day it was fun

alpine sable
#

But i got a really really fast metabolism

fickle hamlet
#

its really opposite for me

alpine sable
#

my heart rate is at 90bpm

#

it's a big sign of fast metabolism

#

aswell as not being able to gain weight easy

fickle hamlet
#

kinda jealous rn

alpine sable
alpine sable
#

my reason for fast metabolism is not good

#

I go to the doctor every month for it

fickle hamlet
#

cause i had some serious personalit issues or smt like that bt now

alpine sable
#

my heart function is horrible

fickle hamlet
#

eyyy thats sad man

alpine sable
#

yeah

#

but to be honest

#

the scars of the surgeries

#

some ppl stare at it

#

but i see it as a part of me you know

#

It's good

#

i got big self confidence

fickle hamlet
#

unhnnn i kinda get it its like my stretch marks

fickle hamlet
alpine sable
#

due to fast growing

#

those im less proud of actually

#

my scars are like serious scars

#

15cm in length

#

Those stretch marks on my back are like 5cm but 15x

fickle hamlet
#

its fine dudeee those represents u survive

alpine sable
#

but they are red

fickle hamlet
#

what else matters

alpine sable
#

not much

fickle hamlet
#

exactlyyyy

alpine sable
#

i mean in the end math isn't that important

#

Lol

#

how did we end up even here

fickle hamlet
#

idkk dudee can i add u as a friend

alpine sable
#

Sure

fickle hamlet
#

whats ur id tho

alpine sable
#

manuel69420

#

Lol

#

I added you

#

I think you can just hit accept

fickle hamlet
#

yeahhh

#

thnks i m srsly bad with technology

alpine sable
#

i'm good with computers

#

really good

fickle hamlet
#

brooooooooooooooooouu i wish we could change our abilities

alpine sable
#

i've been blessed and fucked

fickle hamlet
#

i wish u could do math and i could do comp

alpine sable
#

but we can both learn it

#

you can learn how to operate computers and i can learn how to do math

fickle hamlet
#

yeahh c++ is pretty hard to learn tho

fickle hamlet
alpine sable
#

Yeah

#

i know a little c++

#

but mostly csharp

fickle hamlet
#

bt first u need to help me with the discord i really dk how this shit works

alpine sable
#

Lol

#

How did u even end up here

#

You just made an account or googled for this server

#

or

fickle hamlet
#

uk i added a random guyy and he was like who tf r u

#

even idk

alpine sable
#

lol

fickle hamlet
#

and the other person just left

alpine sable
#

lol

#

Very interesting

#

i got many computer skills

fickle hamlet
#

yeah anyways u can ask me for your maths doubt anytime

alpine sable
#

from gaming competitions winning to programming programs and websites

#

But math is lacking

alpine sable
alpine sable
#

And honestly gaming isnt cool

#

too much hours went into it

#

not even close to worth it

fickle hamlet
#

yeee being good at maths is fine

alpine sable
#

yes

fickle hamlet
#

bt u got like the gym and the computer skill

alpine sable
#

Gym is not a skill

#

Computer kinda but u can learn

fickle hamlet
#

ikkk bt still it is for me

alpine sable
#

you should definitely try the gym out this summer once you're done

fickle hamlet
alpine sable
#

it'll be great

fickle hamlet
alpine sable
#

self study is the key

#

for computer at least

#

not math i think

fickle hamlet
#

btw what uni are you applying for

alpine sable
#

math is hard for self studying if you dont understand youre fucked

#

for uni of amsterdam

#

uva

#

it's aclled

fickle hamlet
alpine sable
#

or possibly utrecht university

#

It's better for computer science

fickle hamlet
fickle hamlet
alpine sable
#

u cant choose???

#

u can choose right

fickle hamlet
alpine sable
#

What the heck

#

i've got free choice

#

A friend of mine who used to live in India moved to Australia for uni

fickle hamlet
#

if i get pretty good grades then i can bt if i dont i wouldnt be able to apply for it

alpine sable
#

he could choose

#

There

#

I heard many indians move to Australia from him

fickle hamlet
#

he must have pretty good grades then

alpine sable
#

he's actually not that intelligent

fickle hamlet
#

maybe i think i will too bt lets see

alpine sable
#

i don't think he had good grades

#

Australia is beautiful i have heard

fickle hamlet
alpine sable
#

idk

#

probably

fickle hamlet
alpine sable
#

arent yours willing to see you succeed

#

and if thats in australia thats all good

fickle hamlet
#

thats the problem my entire nighbourhood even my parents collegues and waiting for my result

alpine sable
#

What the heck

#

that must be crazy pressure