#precalculus | Mathematics | Page 301

civic furnace Oct 21, 2021, 1:51 PM

#

f(1) = -1, f(5) 10, f(6) = 11

willow bear Oct 21, 2021, 1:52 PM

#

yes

civic furnace Oct 21, 2021, 1:54 PM

#

yeah, (-3,0)

willow bear Oct 21, 2021, 1:54 PM

#

that sounds like an open interval

#

so your claim about the book's claim is false

civic furnace Oct 21, 2021, 1:55 PM

#

but it achieves a zero for -3

#

smallest integer n such that 3n > -3 is 0

#

so whether it means a point or an interval doesn't matter because both the point (-3,0) and the interval (-3,0) are incorrect, as the correct answer is [-3,0)

#

which might as well be written [-3, -1]

echo wagon Oct 21, 2021, 1:58 PM

#

No [-3, 0) and [-3, -1] are not the same

#

Nonintegers exist

civic furnace Oct 21, 2021, 1:58 PM

#

only integers are used here

echo wagon Oct 21, 2021, 1:59 PM

#

They are using interval notation but only referring to integers? sully

civic furnace Oct 21, 2021, 1:59 PM

#

what's wrong with it?

#

besides, it's unclear whether they mean a point or an interval

echo wagon Oct 21, 2021, 2:00 PM

#

Interval notation is almost always used for all real numbers between the endpoints. It only refers to integers in rare cases like in number theory if you don't work with real numbers at all.

civic furnace Oct 21, 2021, 2:01 PM

#

it fits the definition, no?

echo wagon Oct 21, 2021, 2:01 PM

#

In a precalc or calc course, they really shouldn't do that especially since students already get confused about interval notation

#

What definition?

civic furnace Oct 21, 2021, 2:01 PM

#

of an interval

echo wagon Oct 21, 2021, 2:01 PM

#

Do you have a definition?

civic furnace Oct 21, 2021, 2:02 PM

#

(-3, 0) = {x in Z : 3<x<0}

echo wagon Oct 21, 2021, 2:03 PM

#

You left out a minus, but sure if you define it that way, it is correct. I am saying I think it is bad to define it that way since it is non-standard and a lot of students already think intervals only contain integers when they encounter them so seems like a bad idea to promote that

civic furnace Oct 21, 2021, 2:03 PM

#

alright

echo wagon Oct 21, 2021, 2:04 PM

#

I agree the answer is [-3, 0) regardless of whether it only means integers or real numbers

civic furnace Oct 21, 2021, 2:05 PM

#

thank you all

willow bear Oct 21, 2021, 2:08 PM

#

there is a less sus notation for integer ranges

raven kindle Oct 21, 2021, 2:10 PM

#

@willow bear is this right?

willow bear Oct 21, 2021, 2:10 PM

#

no

#

look at your very last line

the endpoints are (-6,3) and (6,3)
this literally flies in the face of the problem statement

#

congratulations. you've managed to completely disregard the problem.

raven kindle Oct 21, 2021, 2:12 PM

#

ohhhhhhh

#

okay

civic furnace Oct 21, 2021, 2:13 PM

#

willow bear there is a less sus notation for integer ranges

?

willow bear Oct 21, 2021, 2:14 PM

#

a : b
defined as {x in Z | a <= x <= b}

civic furnace Oct 21, 2021, 2:14 PM

#

looks like a ratio to me

#

why can't mathematicians invent new symbols

raven kindle Oct 21, 2021, 2:14 PM

#

@willow bear how about this one? this is from my friend

willow bear Oct 21, 2021, 2:15 PM

#

🙃

#

i mean it looks correct now

#

tell your friend she's succeeded at making the computer do it

raven kindle Oct 21, 2021, 2:20 PM

#

willow bear tell your friend she's succeeded at making the computer do it

Our professor gave us permission to use this website to check if our answer is correct

surreal crest Oct 21, 2021, 2:59 PM

#

civic furnace why can't mathematicians invent new symbols

If you have ever programmed python you'd know it's an index slice

daring vault Oct 21, 2021, 3:12 PM

#

but that will not contain 'b' kekw

surreal crest Oct 21, 2021, 3:58 PM

#

Correctamundo

spark glade Oct 21, 2021, 10:22 PM

#

#

how tf do u solve this

tired axle Oct 21, 2021, 11:25 PM

#

spark glade how tf do u solve this

This might not be the fastest route:

#

That's about 257.12

dim egret Oct 22, 2021, 2:56 AM

#

The mirror in Alan’s flashlight is a paraboloid of revolution. If the mirror is 8 centimeters in
diameter and 4.5 centimeters deep, where should the light bulb be placed so it is at the focus
of the mirror?

I got 0.889cm if rounded to three decimal places.
Can someone check to see if I'm right?

viscid thistle Oct 22, 2021, 6:58 AM

#

dim egret The mirror in Alan’s flashlight is a paraboloid of revolution. If the mirror is ...

yes, bascially we should find 'a' assuming the equation of parabola to be y^2=4ax

#

your answer is correct

civic furnace Oct 22, 2021, 9:49 AM

#

How do I calculate the % of males that live in a village if I know the number of women/100 males on avg, in cities, and in villages?

echo wagon Oct 22, 2021, 9:55 AM

#

Assuming there are only women and men in the village, let's say there are x women per 100 males. Then out of 100+x people, there are 100 males. So, 100/(100+x) * 100 will give you the percentage of men

civic furnace Oct 22, 2021, 10:00 AM

#

Thanks

civic furnace Oct 22, 2021, 10:09 AM

#

echo wagon Assuming there are only women and men in the village, let's say there are x wome...

You've given a wrong answer but I had thought I could use it to calculate the correct one. You've calculated the % of males in the villages, whereas the question asks you to do so generally. The idea is that since the avg in this case is 96.7 women/100 males, whereas for the cities it's 99.7/100 and for villages it's 91.6/100 you have to take into account the fact that the number of people that live in the cities is greater

echo wagon Oct 22, 2021, 10:10 AM

#

Your question said you knew the average number of women/ 100 men in villages. But okay, so long as you have the correct answer now.

civic furnace Oct 22, 2021, 10:11 AM

#

I had thought

#

I didn't solve it cause idk how

willow bear Oct 22, 2021, 10:12 AM

#

i don't see how luna's statement is wrong

#

the proportion of men in the village is 100/(100+x) where x is the number of women per hundred men

#

which you say you know the value of

civic furnace Oct 22, 2021, 10:14 AM

#

(# of women living in the cities + # of women living in the villages)/(# of men living in the cities + # of men living in the villages) = 91.6/100

The question asks you to find the # of males living in the villages/( # of males living in the villages + # of males living in the cities)

willow bear Oct 22, 2021, 10:15 AM

#

okay, hold on

#

do you have a screenshot of the problem?

#

even if it's in a foreign language.

#

as-is, your wording is making me confused.

civic furnace Oct 22, 2021, 10:15 AM

#

Idk how to calculate how many more men live in the cities than villages if I know these proportions between men and women

willow bear Oct 22, 2021, 10:16 AM

#

should i repeat myself?

civic furnace Oct 22, 2021, 10:16 AM

#

#

96 b)

willow bear Oct 22, 2021, 10:19 AM

#

...alright looks like my knowledge of russian is not quite enough to decipher the polish

#

can you translate 96b?

civic furnace Oct 22, 2021, 10:20 AM

#

Calculate the % of males aged 20-24 that lived in the villages

#

so as I had said

The question asks you to find the # of males living in the villages/( # of males living in the villages + # of males living in the cities)

willow bear Oct 22, 2021, 10:22 AM

#

% of males aged 20-24 that lived in the villages
among all males?

civic furnace Oct 22, 2021, 10:22 AM

#

You know only that women/100men for the age bracket 20-24 is: avg = 96.7, in cities 99.7, in the villages 91.6

civic furnace Oct 22, 2021, 10:22 AM

#

willow bear > % of males aged 20-24 that lived in the villages among all males?

Yeah

willow bear Oct 22, 2021, 10:22 AM

#

so wouldn't this require knowing the number of people in every age group?

civic furnace Oct 22, 2021, 10:23 AM

#

Nah, it only asks for the 20-24 age bracket

willow bear Oct 22, 2021, 10:23 AM

#

but you just said "among all males"

#

not "among all 20-24 y/o males"

civic furnace Oct 22, 2021, 10:24 AM

#

Where have I said all males

civic furnace Oct 22, 2021, 10:24 AM

#

civic furnace Calculate the % of males aged 20-24 that lived in the villages

% of males aged 20-24

willow bear Oct 22, 2021, 10:24 AM

#

and then i asked "among all males?" and you said yes.

civic furnace Oct 22, 2021, 10:29 AM

#

willow bear and then i asked "among all males?" and you said yes.

I meant aged 20-24

#

Sorry

civic furnace Oct 22, 2021, 12:58 PM

#

@willow bear Could you, please?

willow bear Oct 22, 2021, 1:02 PM

#

no

civic furnace Oct 22, 2021, 1:02 PM

#

Also, how do I solve:

Show that the following inequality is true
sqrt(2^50 + 1) + sqrt(2^50-1) < 2^26

willow bear Oct 22, 2021, 1:12 PM

#

i have a solution that i am 100% certain you'll be unsatisfied with

#

...actually no nevermind

#

there is one that doesn't involve convexity

#

show $\sqrt{x^2 + 1} + \sqrt{x^2 - 1} < 2x$ for $x \geq 1$, then take $x = 2^{25}$.

obsidian monolithBOT Oct 22, 2021, 1:13 PM

#

Ann

willow bear Oct 22, 2021, 1:13 PM

#

you might find it easier to prove $\sqrt{x^2 + 1} - x < x - \sqrt{x^2 - 1}$ instead, which is equivalent.

obsidian monolithBOT Oct 22, 2021, 1:13 PM

#

Ann

vapid plaza Oct 22, 2021, 1:21 PM

#

#

(But if you know a bit of calculus you can skip the red completely)

civic furnace Oct 22, 2021, 1:27 PM

#

vapid plaza

I think you are missing a +1 on the LHS of the 2nd red line

vapid plaza Oct 22, 2021, 1:34 PM

#

Nah I divided everything by 2

#

Lol

civic furnace Oct 22, 2021, 1:35 PM

#

Doesn't make sense

vapid plaza Oct 22, 2021, 1:35 PM

#

Why not?

civic furnace Oct 22, 2021, 1:35 PM

#

Look at the rhs

#

n + n - 1

#

lHs should be n + 1 + n

#

You only have 2n

vapid plaza Oct 22, 2021, 1:36 PM

#

?

#

I see nothing wrong

civic furnace Oct 22, 2021, 1:37 PM

#

I'll show you once I come back home

#

Can't highlight it on phone

vapid plaza Oct 22, 2021, 1:37 PM

#

Try to work it out yourself; I think you will reach the same result

hollow lance Oct 22, 2021, 1:37 PM

#

The write-up is fine

civic furnace Oct 22, 2021, 1:38 PM

#

IMO 1st redline isn't equal to the 2nd

#

due to LHS being different

#

They differ by 1

#

Oh wait

#

Nevermind, I didn't see the. 1 there

#

I'm blind sry

#

Yeah.it's corrext

#

Huge thanks

opaque wraith Oct 22, 2021, 1:43 PM

#

#

hi can i have help setting this up

#

i dont rlly know where to start

vapid plaza Oct 22, 2021, 1:50 PM

#

Suppose that the fare is $p.
Try to express the revenue in terms of p

tranquil haven Oct 22, 2021, 5:20 PM

#

#

What do they want?

#

I don't understand the question

#

Why are so many questions in books super vague

jagged glade Oct 22, 2021, 5:23 PM

#

I think, if they give you sin(x)
Then you need to find cos(x) and tan(x).

#

And if they give you cos(x)
Then you need to find sin(x) and tan(x).

#

And if they give you tan(x)
Then you need to find sin(x) and cos(x).

tranquil haven Oct 22, 2021, 5:29 PM

#

How to do such a thing ? I'm stuck

#

Nevermind

#

Nope I'm stuck

#

How to solve such a thing ?

viscid thistle Oct 22, 2021, 5:41 PM

#

Sin 3/5 is 3 is opposite 5 hyp

#

Now find cos and tan

#

Maybe no

#

What's x?

#

,nvm sry

#

I don't understand too

#

X is the angle

tranquil haven Oct 22, 2021, 5:42 PM

#

Yeah

#

Vague right

viscid thistle Oct 22, 2021, 5:43 PM

#

Sry i couldn't help

#

, x is the right hard bracket

#

Maybe

jagged glade Oct 22, 2021, 5:45 PM

#

Like you can draw a right angled triangle to solve for the magnitude of the sine cosine tangent, and then find the sign +/- using the ASTC

viscid thistle Oct 22, 2021, 5:45 PM

#

You have to put between those numbers or choose the right one?

jagged glade Oct 22, 2021, 5:46 PM

#

Like for example 7,
sine is positive
cosine is negative
tangent is negative

#

And you draw a right angled triangle with side lengths 3,4,5

tranquil haven Oct 22, 2021, 5:47 PM

#

Wait, I can find adjescent with pythagorean theorem

#

Wait 3s

#

Found them!

#

sin x = 3/5, cos x = 4/5, tan x = 3/4

#

Only one mistake

#

Fuck

#

The signs

viscid thistle Oct 22, 2021, 5:52 PM

#

Is it the answer?

#

What about x

jagged glade Oct 22, 2021, 5:53 PM

#

Yea the signs

jagged glade Oct 22, 2021, 5:53 PM

#

jagged glade Like for example 7, sine is positive cosine is negative tangent is negative

This

#

Using ASTC

tranquil haven Oct 22, 2021, 6:12 PM

#

I got it

#

The next one...

#

Leaves me even more clueless

#

And this is just chapter 1.3

viscid thistle Oct 22, 2021, 6:14 PM

#

Tan 2 so is sin 2 cos 1?

tranquil haven Oct 22, 2021, 6:14 PM

#

x has the range of [0,pi/2]

#

so sin x cannot be sin 2

viscid thistle Oct 22, 2021, 6:14 PM

#

Nvm

tranquil haven Oct 22, 2021, 6:15 PM

#

This is from the book Thomas Calculus

#

I'm trying this after following KhanAcadamy

#

But damn these questions are hard, I feel like I barely learnt anything on that website

viscid thistle Oct 22, 2021, 6:15 PM

#

Khan doesn't explain that good

upper tundra Oct 22, 2021, 6:32 PM

#

tranquil haven

x is in [0,π/2] hence, sin x and cos x are positive so, sin x=2/√5 and cos x=1/√5.

hard prairie Oct 22, 2021, 11:09 PM

#

yo

#

the answer would be 1/x right

#

#

since g(x) = x-7 and (fog) = 1/x-7

sick steppe Oct 22, 2021, 11:14 PM

#

no

#

or if it is, it's not the obvious answer

mild swan Oct 22, 2021, 11:15 PM

#

f o g = f(g(x))

g(x) = x-7

f(g(x)) = f(x-7)

#

$f(x-7) = \frac{1}{(x-7) - 7} = \frac{1}{x-14}$

obsidian monolithBOT Oct 22, 2021, 11:15 PM

#

Shen

mild swan Oct 22, 2021, 11:15 PM

#

f o g means f(g(x))

#

f(g(x)) means that instead of f(x) (where x is the input), the input is now g(x).

#

In this case, g(x) = x - 7, so the new input to f is x - 7.

#

@hard prairie

hard prairie Oct 22, 2021, 11:26 PM

#

but isnt h(x) = (f o g)?

#

where did the 1 on the numerator come from?

mild swan Oct 22, 2021, 11:26 PM

#

I misread the problem, my bad

hard prairie Oct 22, 2021, 11:27 PM

#

wait so im right?

mild swan Oct 22, 2021, 11:27 PM

#

but isnt h(x) = 1/(x-7) = (f o g)?

hard prairie Oct 22, 2021, 11:27 PM

#

yeah

mild swan Oct 22, 2021, 11:27 PM

#

f o g = 1/(x-7)

#

f = 1/x?

#

yeah f = 1/x

hard prairie Oct 22, 2021, 11:27 PM

#

f(x) = 1/x right

mild swan Oct 22, 2021, 11:27 PM

#

Because that's the function that makes f o g (or f(g(x))) = 1/(x-7)

hard prairie Oct 22, 2021, 11:27 PM

#

since f(g(x)) = f(x-7)

mild swan Oct 22, 2021, 11:28 PM

#

yup

hard prairie Oct 22, 2021, 11:28 PM

#

and if your plugging x-7 into f then f has to be 1/x

mild swan Oct 22, 2021, 11:28 PM

#

And you need that to be h(x) = 1/(x-7)

hard prairie Oct 22, 2021, 11:28 PM

#

nice

#

so were on the same page right? 😂

#

ive been pulling my hair out over this single problem for the past 30 min 😂

mild swan Oct 22, 2021, 11:30 PM

#

You should be good

#

Dw about it too much

hard prairie Oct 22, 2021, 11:43 PM

#

thanks bro i appreciate the help fr

mild swan Oct 22, 2021, 11:46 PM

#

👍

ornate island Oct 23, 2021, 12:00 AM

#

How do i find the end behaviors of say y = (tan^-1 x)^2 without using a calculator?

ornate island Oct 23, 2021, 12:24 AM

#

<@&286206848099549185>

small tree Oct 23, 2021, 1:10 AM

#

#

how can i graph this?

proud raven Oct 23, 2021, 1:42 AM

#

small tree

can you think of any zeros of this function?

#

try to split apart pieces so theyre easier to think about

#

im dumb there are no zeros 😄

#

it may be easiest to think of the function without looking at the +1

#

then translate it upwards after

red tree Oct 23, 2021, 1:50 AM

#

It's an exercise in plotting translations and dilations of the graph of a function

small tree Oct 23, 2021, 6:47 AM

#

#

can someone please explain how the system got that answer? (thank u)

jagged glade Oct 23, 2021, 7:22 AM

#

small tree

Do you know $\log_ax=b$ can become $x=a^b$?

obsidian monolithBOT Oct 23, 2021, 7:22 AM

#

Biscuit

red tree Oct 23, 2021, 7:37 AM

#

I think that kind of muddles the fact that logarithm is a function with a well defined definition

#

$\log_a x$ is the unique real number $b$ such that $a^b=x$

obsidian monolithBOT Oct 23, 2021, 7:37 AM

#

Icy001

red tree Oct 23, 2021, 7:38 AM

#

Much better way to state the definition

#

We shouldn't be scared to say "such that" in front of high school students

#

😤

acoustic dagger Oct 23, 2021, 9:25 AM

#

#

Any ideas? (Mustn't use derivative)

willow bear Oct 23, 2021, 10:42 AM

#

you could do some multiplication-by-the-conjugate tricks, couldn't you?

#

@acoustic dagger do you even need help with this still?

acoustic dagger Oct 23, 2021, 11:27 AM

#

willow bear <@594998759004307457> do you even need help with this still?

Nvm I had just woke up

#

I solved it right away

simple glade Oct 23, 2021, 12:13 PM

#

#

How I can solve it ?

#

The answer is 6

#

But how

uncut mulch Oct 23, 2021, 2:08 PM

#

consider combining your terms into a single fraction

#

@safe hamlet

#

its not H

#

consider combining your terms into a single fraction

#

what do you have after doing my recommendation

#

show your work

simple glade Oct 23, 2021, 3:34 PM

#

simple glade

<@&286206848099549185>

burnt lodge Oct 23, 2021, 4:18 PM

#

simple glade

Which triangle? The big one or the little one?

vapid plaza Oct 23, 2021, 4:21 PM

#

Probably DEF

bleak lance Oct 23, 2021, 5:49 PM

#

Sorry bad image

#

This

#

Could someone please help me find the domain?

dusk elm Oct 23, 2021, 6:17 PM

#

bleak lance This

The domain of a composition of function is the intersection of the functions f and g

simple glade Oct 23, 2021, 7:55 PM

#

burnt lodge Which triangle? The big one or the little one?

The little one

bleak lance Oct 23, 2021, 8:25 PM

#

#

Could someone please help me find the domain?

small tree Oct 23, 2021, 9:47 PM

#

#

i dont know how to graph this.. i m confused about the 5x part?

sick steppe Oct 23, 2021, 9:59 PM

#

log[5(x+2)]-3

#

then just do your typical transformations

nova moat Oct 23, 2021, 10:05 PM

#

what is a math major

#

what year is that

#

@sick steppe

sick steppe Oct 23, 2021, 10:06 PM

#

I major in math...

#

google it if you don;t know.

#

Also dont know why you felt the need to ask here as opposed to a discussion channel

nova moat Oct 23, 2021, 10:07 PM

#

I'm new here

small tree Oct 23, 2021, 10:11 PM

#

sick steppe log[5(x+2)]-3

thank u!

dusk elm Oct 23, 2021, 10:16 PM

#

bleak lance

Doesn’t seem you got an answer yet. The domain is all x values that give a real number output. When do you not get a real number output for f(x)?

small tree Oct 23, 2021, 10:25 PM

#

sick steppe log[5(x+2)]-3

is the 5 my vertical stretch?

sick steppe Oct 23, 2021, 10:25 PM

#

the 5 is inside the function

small tree Oct 23, 2021, 10:26 PM

#

so what does the 5 do

small tree Oct 23, 2021, 10:29 PM

#

sick steppe the 5 is inside the function

sorry my brian is frozen.. is it horizontal stretch?

hard prairie Oct 23, 2021, 11:14 PM

#

hellooo

#

follow professional mathematicians

#

quick question

#

what de frick happened to the 3/4

lapis sphinx Oct 23, 2021, 11:19 PM

#

It’s reciprocal, 4/3, was mutiplied to both sides

uncut mulch Oct 23, 2021, 11:19 PM

#

3/4 is irrelevant to the zero product

hard prairie Oct 23, 2021, 11:19 PM

#

oooooh

uncut mulch Oct 23, 2021, 11:19 PM

#

whether 3/4(x+4)^2 is 0 solely depends on (x+4)^2

hard prairie Oct 23, 2021, 11:19 PM

#

multiplied both sides by the reciprocal

lapis sphinx Oct 23, 2021, 11:19 PM

#

Whats the zero product

hard prairie Oct 23, 2021, 11:20 PM

#

i get itttt

#

nice

#

thanks bois

lapis sphinx Oct 23, 2021, 11:20 PM

#

Or instead of 4/3 multiplied to both sides, 3/4 were divided from both sides

uncut mulch Oct 23, 2021, 11:20 PM

#

the product of stuff that results in zero

lapis sphinx Oct 23, 2021, 11:20 PM

#

uncut mulch the product of stuff that results in zero

Ah, ty

#

((e^ipi) + 1)^2

#

@uncut mulch is this also considered a 0 product

willow bear Oct 24, 2021, 2:21 PM

#

$-\log(5 \cdot 6) = -(\log(5) + \log(6)) \neq -\log(5) + \log(6)$

obsidian monolithBOT Oct 24, 2021, 2:21 PM

#

Ann

willow bear Oct 24, 2021, 2:21 PM

#

and $-\log(5) - \log(6) \neq -(\log(5) - \log(6))$

obsidian monolithBOT Oct 24, 2021, 2:21 PM

#

Ann

willow bear Oct 24, 2021, 2:47 PM

#

this is just basic algebra

#

if you thought it had anything to do with logarithms you were mistaken

sullen zealot Oct 24, 2021, 3:42 PM

#

bleak lance

So, you want to find values of x where the function is undefined first, so either where the denominator is 0 or where you are taking the square root of a negative number. Here there are no square roots and so you want to solve the equation 9x - 5 = 0 where 9x-5 is the denominator. This will then be the x input where the function is undefined and it's domain will be all other inputs other than this.

lean ibex Oct 24, 2021, 4:29 PM

#

how do I take the domain and range of a composite function given the graphs of the functions

small tree Oct 25, 2021, 1:28 AM

#

#

how did the system got that answer 7 years?

sick steppe Oct 25, 2021, 1:32 AM

#

15000=1750e^(.3t)

small tree Oct 25, 2021, 1:42 AM

#

thank u..

signal rover Oct 25, 2021, 2:27 AM

#

which is more difficult?
pre-cal or cal 1

oblique cave Oct 25, 2021, 4:07 AM

#

probably calc 1... i thoguht so at least

viscid thistle Oct 25, 2021, 6:08 PM

#

ayooo

#

guys i need help with identities

#

#

can someone explain how the book got this answer

faint basin Oct 25, 2021, 6:28 PM

#

they rewrote sin3x as sin of 2x+x and apply the sin(a+b) formula

#

then the one for 2sinxcosx which is indeed sin2x

#

u just gotta know your identites here

#

not that hard tbh

lucid flame Oct 25, 2021, 11:40 PM

#

Alright I'm having a bit of trouble with this problem, I'm supposed to look at the graph and answer what the X-ints are and then confirm my answer with the equation

#

But the thing is

#

When I plug in zero, it works for 3 just fine but for some reason on the other one it just doesn't work

#

You'd get X=5

#

So I don't know if I'm just doing something real dumb or what

uncut mulch Oct 25, 2021, 11:50 PM

#

ab = c
generally doesn't mean that a=c or b=c
(if c isn't 0)

#

it would also be much simpler to plug in your x values into the given quadratic equation to see if you get y=0

lucid flame Oct 25, 2021, 11:53 PM

#

that would be much easier. and i also found the answer to what i was trying to do, apparently i was supposed to put the entire equation on the other side

#

so it

#

it'd be -x^2+2x+3

#

for some reason i guess

cedar bramble Oct 26, 2021, 12:08 AM

#

#

is this corect!?

tranquil moth Oct 26, 2021, 12:11 AM

#

yes

cedar bramble Oct 26, 2021, 12:17 AM

#

thxx

sterile cobalt Oct 26, 2021, 3:14 AM

#

So guys this problem is asking me to solve for all real values of x

#

\sqrt{2x+1}+1=x

#

I think I'm supposed to add 1 on both sides

#

Then square both sides to get rid of the radical

#

native panther Oct 26, 2021, 3:21 AM

#

#

I have 3w + 2l = 1000

#

so far

#

And then I wrote out A(w)=w * (1000-3w/2)

#

does this seem like a decent first step towards finding the perimeter so I can solve for the area?

civic furnace Oct 26, 2021, 5:34 AM

#

Find such real numbers a and b so that the expression 10a^2 + b^2 + 6ab + 4a + 1 acquires the smallest value.

Got to:
(3a+b)^2 + (a+1)^2 + 2a and don't know what to do now

somber sigil Oct 26, 2021, 5:34 AM

#

sterile cobalt

√(2x+1)=x-1
square both sides and solve the quadratic equation.

#

btw that is not really calc

civic furnace Oct 26, 2021, 5:54 AM

#

<@&286206848099549185>

stuck lark Oct 26, 2021, 6:51 AM

#

@civic furnace pls post questions 1 at a time

civic furnace Oct 26, 2021, 6:53 AM

#

@stuck lark why>

#

rules don't say anything about it

#

also

#

have you really fucking deleted all my questions

#

could you please restore them

#

i don't have them written anywhere else

stuck lark Oct 26, 2021, 7:02 AM

#

pls don't try to find loopholes here. spamming questions as you did is obnoxious

civic furnace Oct 26, 2021, 7:03 AM

#

nobody has found an issue with it before

#

including @willow bear

#

aren't moderators supposed to moderate according to the rules?

stuck lark Oct 26, 2021, 7:08 AM

#

i was writing a reply to the previous points but forget it; you've escalated your rules lawyering to a point where i find you in bad faith. goodbye

willow bear Oct 26, 2021, 7:13 AM

#

b&?

stuck lark Oct 26, 2021, 7:14 AM

#

b&

willow bear Oct 26, 2021, 7:15 AM

#

good, they were giving off bad vibes at nearly every turn anyway

viscid thistle Oct 26, 2021, 10:23 AM

#

Hey guys I have a question, I saw it on a paper and I cannot solve it, anyone up for help?

clever sandal Oct 26, 2021, 3:32 PM

#

Hey guys is there any way to closely estimate sinx in terms of basic equations

willow bear Oct 26, 2021, 3:34 PM

#

what do you mean by "basic equations"?

proud raven Oct 26, 2021, 3:57 PM

#

clever sandal Hey guys is there any way to closely estimate sinx in terms of basic equations

taylor series maybe? not really algebra

clever sandal Oct 26, 2021, 4:00 PM

#

willow bear what do you mean by "basic equations"?

expressed under addition, subtraction, multiplication, division, fractions, the brackets, exponents, roots

clever sandal Oct 26, 2021, 4:00 PM

#

proud raven taylor series maybe? not really algebra

what's the series

willow bear Oct 26, 2021, 4:01 PM

#

$\sin(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \dots$

obsidian monolithBOT Oct 26, 2021, 4:01 PM

#

Ann

proud raven Oct 26, 2021, 4:01 PM

#

it depends on how accurate you want it to be

#

but yea

willow bear Oct 26, 2021, 4:01 PM

#

this is the taylor series for sin(x)

#

for the exact value the series goes on forever

#

but if all you want is an approximation you can get away with only calculating finitely-many terms

#

is this what you were looking for?

proud raven Oct 26, 2021, 4:01 PM

#

its also better for angles close to 0 displacement

clever sandal Oct 26, 2021, 4:01 PM

#

willow bear is this what you were looking for?

yup

proud raven Oct 26, 2021, 4:02 PM

#

so if youre in a small angle the so called "small angle approximation" $\sin (x) \approx x$ works more or less fine

obsidian monolithBOT Oct 26, 2021, 4:02 PM

#

jan Niku

willow bear Oct 26, 2021, 4:02 PM

#

engineer moment

proud raven Oct 26, 2021, 4:02 PM

#

weSmart

uncut mulch Oct 26, 2021, 4:02 PM

#

note to use radians

clever sandal Oct 26, 2021, 4:02 PM

#

proud raven so if youre in a small angle the so called "small angle approximation" $\sin (x)...

certified engineer

proud raven Oct 26, 2021, 4:02 PM

#

theres a great 3b1b video on this exact topic

clever sandal Oct 26, 2021, 4:03 PM

#

nice

#

thanks y'all

viscid thistle Oct 26, 2021, 4:54 PM

#

Pre calc makes me want to cry

viscid thistle Oct 27, 2021, 12:13 AM

#

How do we get rid of log(y)=x if the base isn't mentioned?
I wans the log on the other side

small aspen Oct 27, 2021, 12:15 AM

#

i think in most texts log is treated as base e

clever sandal Oct 27, 2021, 12:22 AM

#

viscid thistle How do we get rid of log(y)=x if the base isn't mentioned? I wans the log on the...

it's base 10 by standard notation

viscid thistle Oct 27, 2021, 12:23 AM

#

so will it be y=10^x?

clever sandal Oct 27, 2021, 12:23 AM

#

yeah

#

ln is base e, lb is base 2 ok?

small aspen Oct 27, 2021, 12:26 AM

#

clever sandal it's base 10 by standard notation

i believe base 10 is usually written as lg instead of log

clever sandal Oct 27, 2021, 12:29 AM

#

small aspen i believe base 10 is usually written as lg instead of log

hmmmmm

#

this is confusing now

small aspen Oct 27, 2021, 12:29 AM

#

actually maybe it depends on where

clever sandal Oct 27, 2021, 12:29 AM

#

yeah

small aspen Oct 27, 2021, 12:29 AM

#

from what i learnt log is base e but fair enough i know people who use log as base 10

clever sandal Oct 27, 2021, 12:29 AM

#

I learnt log = base 10

#

and use ln for base e

#

I'm kinda dum when it comes to these notations

rough mason Oct 27, 2021, 2:25 AM

#

Screen_Shot_2021-10-26_at_10.25.02_PM.png

#

hey can someone tell me what this is?

#

<@&286206848099549185>

slow mural Oct 27, 2021, 2:45 AM

#

Can someone write me a written solution to this answer please. It would be greatly appreciated.

#

https://cdn.discordapp.com/attachments/902749258493595748/902749370770915369/unknown.png

proud raven Oct 27, 2021, 2:48 AM

#

any ol solution should be okay why this one?

#

is there something youre confused about in the solutions to these in general?

unreal dawn Oct 27, 2021, 4:01 AM

#

can i teach myself precalc

#

im currently a sophomere taking alg II

#

i want to take ap calc next year so i can take multivar in my senior year

twilit wolf Oct 27, 2021, 5:04 AM

#

unreal dawn can i teach myself precalc

for sure! Everything you need is already on youtube

abstract moss Oct 27, 2021, 5:20 AM

#

hi, idk if i'm chatting in the right text channel but i really need help with my hw. i'm not asking for answers, i really want to understand the lesson and i wanna know how to solve for the answer or something. my teacher cancelled our class for this week so yeah i'm really having a hard time understanding this.

#

merry ledge Oct 27, 2021, 5:28 AM

#

abstract moss hi, idk if i'm chatting in the right text channel but i really need help with my...

you're substituting one function into the other

abstract moss Oct 27, 2021, 5:29 AM

#

so i'm gonna substitute f (x) into g (x)?

merry ledge Oct 27, 2021, 5:30 AM

#

(f o g)(x) = f[g(x)]

merry ledge Oct 27, 2021, 5:33 AM

#

abstract moss so i'm gonna substitute f (x) into g (x)?

So you're gonna substitute the function g into the x for function f

abstract moss Oct 27, 2021, 5:38 AM

#

ohh okay, are there any video tutorials on youtube for that?

merry ledge Oct 27, 2021, 5:42 AM

#

abstract moss ohh okay, are there any video tutorials on youtube for that?

Yes search up composite functions.

Try it yourself first though. f[g(x)] = f(x-2) =

abstract moss Oct 27, 2021, 5:44 AM

#

okayy, thank you very much your help :))

slender cargo Oct 27, 2021, 6:35 AM

#

hi can someone please explain why in the answers they don't first differentiate the equation to get the velocity?

#

hollow lance Oct 27, 2021, 6:38 AM

#

slender cargo hi can someone please explain why in the answers they don't first differentiate ...

You are given a function that outputs velocity. Why would you differentiate that?

slender cargo Oct 27, 2021, 6:38 AM

#

yeah just realised

#

thanks

#

what's the difference between average velocity and acceleration

robust star Oct 27, 2021, 8:21 AM

#

How do I find the zeros of x^3+2x^2+4?

willow bear Oct 27, 2021, 8:22 AM

#

it doesn't look like the zeros can be readily expressed

#

are you asked explicitly to find the zeros?

robust star Oct 27, 2021, 8:23 AM

#

I need to sketch (x^3+2x^2+4)/(2x^2+1)

willow bear Oct 27, 2021, 8:24 AM

#

hm.

#

well i can tell you from graphing that x^3 + 2x^2 + 4 appears to have only one real root and it's a nasty decimal

robust star Oct 27, 2021, 8:25 AM

#

yah ill just say I used a graphing utility to find it

west swallow Oct 27, 2021, 11:40 PM

#

How this happen explain me lol

merry ledge Oct 27, 2021, 11:52 PM

#

west swallow How this happen explain me lol

?

river summit Oct 28, 2021, 12:26 AM

#

Heyo anyone open to help me out?

rough mason Oct 28, 2021, 12:39 AM

#

#

helppp

uncut mulch Oct 28, 2021, 12:40 AM

#

consider the second derivative

viscid thistle Oct 28, 2021, 3:24 AM

#

west swallow How this happen explain me lol

this is wrong since cross multiplying it gives different values

fiery crag Oct 28, 2021, 4:57 AM

#

west swallow How this happen explain me lol

thats the derivative ... d/dx[2sqrt(x)] = 1/sqrt(x)
i mean thats not how u write it nor in precalc ...
im curious where u got that from

robust star Oct 29, 2021, 5:42 AM

#

What is the x-intercept? I got x=-1

toxic flame Oct 29, 2021, 5:44 AM

#

yes

robust star Oct 29, 2021, 5:45 AM

#

i got it wrong tho

#

wdym

#

ah i c now ty

remote jungle Oct 29, 2021, 6:28 AM

#

robust star What is the x-intercept? I got x=-1

x=-1 might bring quite destruction

warm forum Oct 29, 2021, 7:06 AM

#

toxic flame yes

nah
It would be undefined

toxic flame Oct 29, 2021, 7:19 AM

#

warm forum nah It would be undefined

factor out some stuff

#

oh pfttt

#

continuously extend it bruv who cares 💀

torn locust Oct 29, 2021, 7:52 AM

#

New here

robust star Oct 29, 2021, 9:24 AM

#

Is there a way to find a zero of this function without testing all the possible roots? It takes way too long to test them all.

tawdry wing Oct 29, 2021, 9:54 AM

#

You could find one root, then perform polynomial division and factor the quotient to find the other roots.

torn locust Oct 29, 2021, 10:19 AM

#

is it possible to locate the center or create a standard equation given only the "vertex" and asymptotes? If yes, what should I do?

bleak elbow Oct 29, 2021, 10:59 PM

#

#

can somone help me with this?

rare flame Oct 30, 2021, 12:37 AM

#

hey can someone help me

#

i'm new here

uncut mulch Oct 30, 2021, 12:39 AM

#

#❓how-to-get-help

rare flame Oct 30, 2021, 1:04 AM

#

Consider the following polynomial.

F(x)=x^3+x^2−22x−40
Use synthetic division to identify integer bounds of the real zeros. Find the least upper bound and the greatest lower bound guaranteed by the Upper and Lower Bounds of Zeros theorem.

Upper Bound:
Lower Bound:

tired axle Oct 30, 2021, 1:50 AM

#

rare flame Consider the following polynomial. F(x)=x^3+x^2−22x−40 Use synthetic division ...

What is the part you are having trouble with? The theorem explains what you are dividing by. Are you unsure how to do synthetic division?

rare flame Oct 30, 2021, 1:51 AM

#

i couldn't figure it out

tired axle Oct 30, 2021, 1:51 AM

#

Chaucy's Bound

#

Where are you stuck

rare flame Oct 30, 2021, 1:52 AM

#

with solving it the equation and found no solution

tired axle Oct 30, 2021, 1:53 AM

#

Did you identify the least upper and greatest lower bounds first?

rare flame Oct 30, 2021, 1:53 AM

#

no

tired axle Oct 30, 2021, 1:53 AM

#

That will help you

#

Also it's part of the problem

rare flame Oct 30, 2021, 1:53 AM

#

i need that help

tired axle Oct 30, 2021, 1:53 AM

#

Oh, it's the entire problem

#

Ok, read the theorem

#

rare flame Oct 30, 2021, 1:56 AM

#

okay

tired axle Oct 30, 2021, 1:57 AM

#

So what should you do

#

Or what numbers should you use

rare flame Oct 30, 2021, 1:58 AM

#

what i should do

tired axle Oct 30, 2021, 1:58 AM

#

What does the theorem say to do

rare flame Oct 30, 2021, 2:01 AM

#

the same

tired axle Oct 30, 2021, 2:01 AM

#

What are a_0, a_1, ..., a_n?

rare flame Oct 30, 2021, 2:02 AM

#

@viscid thistle

#

@sick steppe

viscid thistle Oct 30, 2021, 2:03 AM

#

rare flame <@456226577798135808>

can you send a pic of your work? it'd help a lot

rare flame Oct 30, 2021, 2:08 AM

#

ok i could

#

sick steppe Oct 30, 2021, 2:14 AM

#

That's the question... not your work

rare flame Oct 30, 2021, 2:15 AM

#

oh i don't have it

sick steppe Oct 30, 2021, 2:15 AM

#

so you have made no attempt on your own to try and do the problem...?

vestal wyvern Oct 30, 2021, 2:16 AM

#

rare flame

um do u need help on that..?

vestal wyvern Oct 30, 2021, 2:16 AM

#

sick steppe so you have made no attempt on your own to try and do the problem...?

@rare flame ^^

#

try to solve the problem first

rare flame Oct 30, 2021, 2:17 AM

#

i did it online but not in my notes

vestal wyvern Oct 30, 2021, 2:17 AM

#

o wat

#

can you screenshot your work online..?

rare flame Oct 30, 2021, 2:19 AM

#

i believe it is Positive Real Zeros: 1 , Negative Real Zeros: 2 or 0

vestal wyvern Oct 30, 2021, 2:20 AM

#

rare flame i believe it is Positive Real Zeros: 1 , Negative Real Zeros: 2 or 0

can u show your work

rare flame Oct 30, 2021, 2:24 AM

#

ok

#

#

here you go

uncut mulch Oct 30, 2021, 2:43 AM

#

f(x) is not the product of a magical number f and x

rare flame Oct 30, 2021, 2:51 AM

#

it's not

tired axle Oct 30, 2021, 3:25 AM

#

@rare flame this is an easy problem, get a pencil and paper and hack it out, the computer is going to slow you down

rare flame Oct 30, 2021, 3:26 AM

#

okay

tired axle Oct 30, 2021, 3:26 AM

#

Look at the theorem, it tells you what to do, and it is all you need to do

viscid thistle Oct 30, 2021, 9:42 PM

#

I have a question that I asked 3 hours ago but still not answered pls help-22

#

It's a cambridge question btw

tired axle Oct 30, 2021, 10:15 PM

#

@viscid thistle when you bump, quote your original post

#

You dont have anything else in this channel from today

viscid thistle Oct 30, 2021, 10:39 PM

#

tired axle <@456226577798135808> when you bump, quote your original post

It's in help channel no. 22

#

#help-22

viscid thistle Oct 31, 2021, 11:47 AM

#

If sum of first p terms is q and sum of first q terms is p then what is the sum of first (p+q) terms?
my efforts...
sum of first p terms = (p/2)(2a+(p−1)d)=q
and sum of first q terms = (q/2)(2a+(q-1)d)=p
Idk how to proceed further
I guess i need to find "a"(first term) and "d" (common difference)

willow bear Oct 31, 2021, 11:48 AM

#

sum of first p terms of what?

#

is the sequence you're summing actually known to be arithmetic?

amber marsh Oct 31, 2021, 8:36 PM

#

is sin^2(x) the same as saying sin(x)^2 ?

sick steppe Oct 31, 2021, 8:37 PM

#

$\sin^2(x)=[\sin(x)]^2$

obsidian monolithBOT Oct 31, 2021, 8:37 PM

#

Mosh

amber marsh Oct 31, 2021, 8:38 PM

#

huh. does that apply for all the functions?

sick steppe Oct 31, 2021, 8:38 PM

#

no

#

trig notation for powers is just shit sully

amber marsh Oct 31, 2021, 8:40 PM

#

ralphwiggum_imindanger.jpg

viscid thistle Oct 31, 2021, 10:17 PM

#

sick steppe no

Sooo I still can't dm ?

sick steppe Oct 31, 2021, 10:17 PM

#

no

viscid thistle Oct 31, 2021, 10:18 PM

#

Why? What can make you say yes ?

sick steppe Oct 31, 2021, 10:18 PM

#

My choice to not let you dm. And nothing.

#

I'm also more than happy to dm mods if you continue to pester me

viscid thistle Oct 31, 2021, 10:19 PM

#

I know... how can I change your mind about it?

sick steppe Oct 31, 2021, 10:19 PM

#

Nothing, now stop pestering me.

viscid thistle Oct 31, 2021, 10:19 PM

#

What.... ok

coral parrot Nov 1, 2021, 1:25 AM

#

can anyone help me for the love of gof

glacial juniper Nov 1, 2021, 2:19 AM

#

#

I thought reference angles were always in the first quadrant?

warm forum Nov 1, 2021, 2:36 AM

#

sick steppe trig notation for powers is just shit <:sully:651816820122189834>

lmao

crystal osprey Nov 1, 2021, 3:45 AM

#

glacial juniper I thought reference angles were always in the first quadrant?

cunning epoch Nov 1, 2021, 5:02 AM

#

i know that i could just use the table to find it, but i need help understanding why those values on the table correspond to the values in the question.

small tree Nov 1, 2021, 6:49 AM

#

#

hi, i dont get how the system got these answers... the only one that i get is part C. bcuz 360 - 315 = 45..

proud raven Nov 1, 2021, 1:52 PM

#

this looks wrong?

#

i mean the drawing

#

the length of that vector isn't sqrt 2

#

@small tree

#

ignoring the drawing the rest of it is right

#

oh, a point

#

nevermind 😄

#

well you found a point on the line,

#

and then the sqrt 2 is just from like

#

the distance formula

#

$d = \sqrt{ x^2 + y^2} = \sqrt{1 + 1} = \sqrt 2$

obsidian monolithBOT Nov 1, 2021, 1:54 PM

#

jan Niku

jovial stratus Nov 1, 2021, 2:22 PM

#

Can someone help?

Problem:
Find the first three terms of the geometric sequence whose sum is 7/16 and product is 1/312

I don't seem to go anywhere with this problem, i've tried

x/y + x + xy = 7/16
x/y * x * xy = 1/312

But still I don't get the right answer

#

If x = ³√1521/78, how do i find y?

echo wagon Nov 1, 2021, 2:29 PM

#

How do you get that x value?

#

x/y * x * xy = x^3 = 1/312

#

To get y plug the value of x into the other equation

jovial stratus Nov 1, 2021, 2:51 PM

#

echo wagon To get y plug the value of x into the other equation

That's where I am stuck at, I can't get the exact value for y, im left with a polynomial answer

echo wagon Nov 1, 2021, 2:52 PM

#

It's a quadratic polynomial

#

So solve it using quadratic equation

teal matrix Nov 1, 2021, 4:02 PM

#

safe gate Nov 1, 2021, 4:06 PM

#

Can you further simplify this equation

late mica Nov 1, 2021, 4:07 PM

#

safe gate Can you further simplify this equation

I can't read it.

safe gate Nov 1, 2021, 4:07 PM

#

Lemme try again

late mica Nov 1, 2021, 4:07 PM

#

teal matrix

Do you need help with this or...?

safe gate Nov 1, 2021, 4:08 PM

#

Yes

teal matrix Nov 1, 2021, 4:08 PM

#

late mica Do you need help with this or...?

yes

late mica Nov 1, 2021, 4:08 PM

#

safe gate Yes

That was replying to Alejandro. You specified you needed help, I just can't read yours.

safe gate Nov 1, 2021, 4:08 PM

#

2 . cos²x . cos²y + 2 . sin²x . sin²y

late mica Nov 1, 2021, 4:08 PM

#

teal matrix yes

What sort of help? Do you know where to begin?

safe gate Nov 1, 2021, 4:08 PM

#

There

late mica Nov 1, 2021, 4:09 PM

#

safe gate There

Ah - ok. I can read that. 🙂 Let me see...

teal matrix Nov 1, 2021, 4:09 PM

#

late mica What sort of help? Do you know where to begin?

not really

safe gate Nov 1, 2021, 4:09 PM

#

I just wanted to know if we can further simplify this 2 . cos²x . cos²y + 2 . sin²x . sin²y

late mica Nov 1, 2021, 4:09 PM

#

safe gate I just wanted to know if we can further simplify this 2 . cos²x . cos²y + 2 . si...

Hmm..how about trig identities?

safe gate Nov 1, 2021, 4:09 PM

#

Something to do with that yeah

late mica Nov 1, 2021, 4:10 PM

#

safe gate Something to do with that yeah

Give me a moment to try something out

safe gate Nov 1, 2021, 4:10 PM

#

ok

late mica Nov 1, 2021, 4:10 PM

#

teal matrix not really

Start by plugging x+h into your function

teal matrix Nov 1, 2021, 4:13 PM

#

late mica Start by plugging x+h into your function

ok

late mica Nov 1, 2021, 4:16 PM

#

safe gate ok

Hm, I'm not seeing identities. The only identity I can think of cos^2x = 1 - sin^2x. You could factor out 2 from both terms and try something with that - I don't see any, though. Perhaps someone else will?

late mica Nov 1, 2021, 4:17 PM

#

teal matrix ok

Once you've got that, subtract f(x) from it, then put it all over h

safe gate Nov 1, 2021, 4:17 PM

#

yeah i was thinking about factoring aswell

late mica Nov 1, 2021, 4:17 PM

#

safe gate yeah i was thinking about factoring aswell

I would definitely factor out the 2 - that's the easiest one to see.

late mica Nov 1, 2021, 4:21 PM

#

teal matrix ok

Does that make sense?

opaque citrus Nov 1, 2021, 4:39 PM

#

a transformation image of the graph of y=f(x) is represented by the equation y+2=-2f(1/2(x+3)). The point (-9,2) lies on the image graph. What are the coordinates of the corresponding point on the graph y=f(x)?

#

i got (-21,-6) but now that i look at the question again i think i got the wording confused

#

did it maybe ask me to do something else?

#

im confused

teal matrix Nov 1, 2021, 4:44 PM

#

late mica Once you've got that, subtract f(x) from it, then put it all over h

i don’t get it

late mica Nov 1, 2021, 4:44 PM

#

teal matrix i don’t get it

Give me a moment to draw something that may help - to get you started.

late mica Nov 1, 2021, 4:46 PM

#

teal matrix i don’t get it

Now you just have to simplify

teal matrix Nov 1, 2021, 4:59 PM

#

late mica Now you just have to simplify

appreciate it

opaque citrus Nov 1, 2021, 5:20 PM

#

could some1 help me pls :((

#

<@&286206848099549185>

pseudo harbor Nov 1, 2021, 7:48 PM

#

a

warped shoal Nov 2, 2021, 12:50 AM

#

late mica Now you just have to simplify

how do i do the same thing, but with f(x) = 3 - 2x + x^2

#

when i did it, the answer became zero, as only h was left

tired axle Nov 2, 2021, 2:56 AM

#

#

^via nth root theorem. I guessed the root was -3 and guessed right. Then I guessed it had multiplicity-2 (repeated root) and was correct again. Last two roots had to be imaginary to get x^2 + 1

#

needed a binomial where there is no middle term and the constant comes out positive. That's imaginary conjugates.

#

or more generally, complex conjugates

#

no, check it:

#

(a+bi)(a-bi) = a^2 -bi + bi -b^2 * i^2 = a^2 + b^2 (always)

#

and in fact, (x-i)(x+i) = x^2 - i^2 = x^2 -(-1) = x^2 + 1

glacial juniper Nov 2, 2021, 3:48 AM

#

#

<@&286206848099549185>

tired axle Nov 2, 2021, 5:26 AM

#

glacial juniper

Subtract 2pi from IV, what do you get?

glacial juniper Nov 2, 2021, 5:38 AM

#

tired axle Subtract 2pi from IV, what do you get?

11pi/6 - 2pi= -pi/6? I don't get it please explain

tired axle Nov 2, 2021, 5:42 AM

#

Oh, I thought the first one, I, was -pi/6. Looks like 2 of the answers work, -pi/6 and 7pi/6. But that was wrong for some reason

hazy viper Nov 2, 2021, 6:20 AM

#

Hello everyone I would like to get ur suggestions regarding to the materials and Topics I've to go through in Pre-Calculus .

inner blade Nov 2, 2021, 11:57 AM

#

can you help me with factoring?

mellow tapir Nov 2, 2021, 3:31 PM

#

glacial juniper

The domain of $sin^{-1}(x) is [-\pi, \pi]$

obsidian monolithBOT Nov 2, 2021, 3:32 PM

#

not discordmod

uncut mulch Nov 2, 2021, 3:37 PM

#

that isn't right

viscid thistle Nov 2, 2021, 5:34 PM

#

plz help

#

#

number 46

willow bear Nov 2, 2021, 6:41 PM

#

@viscid thistle do you still need help with this?

viscid thistle Nov 2, 2021, 7:59 PM

#

willow bear <@456226577798135808> do you still need help with this?

yes

void wing Nov 2, 2021, 9:22 PM

#

viscid thistle

use trig rules to solve

#

are you there?

#

i can write it out but would rather write it out if you would eventually see it

#

just ping me

foggy frigate Nov 2, 2021, 11:15 PM

#

If y’all can just answer a relatively simple answer for me I’d appreciate it. (Ill put it down in this mssg as well) currently I’m trying to find the roots of f(x)=x^4-4x^3+2x^2+x+4, a 5 term function degree 4, I see what the roots are but would it be possible to solve for the answer without graphing it on a graphing device? Because the roots are decimals so im lost how id solve on paper.

tired axle Nov 2, 2021, 11:37 PM

#

foggy frigate If y’all can just answer a relatively simple answer for me I’d appreciate it. (I...

Its's worse than just decimal: they aren't rational (via rational root test)

#

You can try and estimate using intermediate value theorem, but you really want to use Newton's Method, which is introduced in Calculus.

foggy frigate Nov 2, 2021, 11:42 PM

#

Okay I see let me dig into that, thx for the suggestion.

tired axle Nov 2, 2021, 11:43 PM

#

One other idea though

#

If you get lucky, a simple guess at the complex solutions will give you a quadratic

#

So maybe see if i and -i are roots

#

Using synthetic division

#

(I mean, wolfram will tell you)

#

(Nope.)

foggy frigate Nov 3, 2021, 12:35 AM

#

I just used the newtons law and i was able to show my work for this, Had to learn what derivatives were but I think I got the hang of newtons law. I am not understanding how I’d use i and -i with synthetic division in your other idea honestly my teacher last yr barely skimmed over i last yr.

#

Newtons law?!?! Lmfao newtons method

foggy frigate Nov 3, 2021, 12:56 AM

#

I used the rational root theorem you mentioned as well on my next problem to guess it completely without adevice so i appreciate your help

tired axle Nov 3, 2021, 2:10 AM

#

Oh good!

tired axle Nov 3, 2021, 2:22 AM

#

foggy frigate I just used the newtons law and i was able to show my work for this, Had to lear...

you can do synthetic division with complex numbers and I was just saying "hey, we know the real solutions are ugly, but maybe the complex solutions aren't? guess +-i". But the complex solutions aren't those anyway, so nevermind.

robust star Nov 3, 2021, 5:36 AM

#

how do i convert this into logarithmic form?

jagged glade Nov 3, 2021, 5:38 AM

#

Take log on both sides?

#

Or you wanna keep the numbers?

robust star Nov 3, 2021, 5:43 AM

#

wdym by that? the problem is that the fraction is confusing me

jagged glade Nov 3, 2021, 6:01 AM

#

You may have to show your work to make it clear what you want and have a chance for other people to help you 😄

viscid thistle Nov 3, 2021, 6:31 AM

#

guys i need someone to help me rnw plz

willow bear Nov 3, 2021, 6:38 AM

#

@viscid thistle apologies for not being able to respond earlier after you replied to me when i was already asleep.

#

i take it you still need help solving the equation $\frac{4}{\sin(x)} + \sin(x) + 5 = 0$, and you have made zero progress so far?

obsidian monolithBOT Nov 3, 2021, 6:41 AM

#

Ann

viscid thistle Nov 3, 2021, 3:11 PM

#

Hi so with the ambiguous case with law of sines, how do you determine the number of solutions?

#

What I'm getting, is that if the sum is less than 180, then there are two solutions, but if it is more than 180 it is only one solution

heady nymph Nov 3, 2021, 6:48 PM

#

anyone here knows where I can do math exercises with step by step solutions? preferably math exercises of functions, domain, asymptotes, interceptions, derivatives etc

sly hamlet Nov 4, 2021, 2:32 AM

#

How would you solve:

ax + atan(x) = (a*pi)/2
a = Any real number
Solve for X, no estimates
In range 0 < x < pi/2

All me and the other students were able to find is that

There are 2 solutions
x1 + x2 = pi
x1 = pi - x2
x2 = pi - x1
tan(x1)/tan(x2) = -1
and
tan(x2)/tan(x1) = -1
(and obv tan(x1) = -tan(x2))

Aside from these observations I don't think we found anything else

x1 is about: 0.710462737775517
x2 is about: 2.43112991581428

slim echo Nov 4, 2021, 3:28 AM

#

i need help with 57 and 59!

Screen_Shot_2021-11-03_at_10.33.18_PM.png

keen gazelle Nov 4, 2021, 4:33 AM

#

Hello! Quick one. How would I find the average rate of change using a slope function? Thanks lads.

bronze relic Nov 4, 2021, 5:18 AM

#

Hello!! My name is Koyaaa and I need help with my homework I'm stuck and it was due 15 minutes ago 🥺 please help

#

#

#

#

Can anyone help please

#

Ahh 😧 what happened

#

Ok I think I see what your saying @viscid thistle

viscid thistle Nov 4, 2021, 5:39 AM

#

sorry I was on my phone for that.

bronze relic Nov 4, 2021, 5:43 AM

#

No worries!!

keen gazelle Nov 4, 2021, 10:47 AM

#

No-one click on these links! <@&268886789983436800> Can you please remove?

viscid thistle Nov 4, 2021, 10:48 AM

#

<@&268886789983436800>

gilded sapphire Nov 4, 2021, 11:44 AM

#

bronze relic

a = 3 and b = 9 and c = -9 and d = 9

viscid thistle Nov 4, 2021, 2:45 PM

#

So I got this problem involving inequalities

#

if the solution to this is -2<=x<=2

#

What is k?

#

I tried squaring both sides and going from there but thought that there was no way that that's the intended way to do it

#

So I checked the solution

#

And it was just like 2 lines long

#

The above condition is satisfied when the line y=kx-2 passes the point (2, 2)
2=2k-2
=> k=2

#

I drew it on desmos

#

#

To get a feel for what it looks like

#

It makes a lot of sense

#

But what I want to know is how do I know that it should be like this

viscid thistle Nov 4, 2021, 5:26 PM

#

What's -x/9=x/5?

#

Gave me 90 but idk how

#

<@&286206848099549185>

#

Been getting 14x

#

pepedetect

placid knot Nov 4, 2021, 5:36 PM

#

viscid thistle What's -x/9=x/5?

can you show the procedure that yields this answer of 90?

viscid thistle Nov 4, 2021, 5:37 PM

#

#

A little blurry since I'm on mobild bht

#

mobile but

#

You can see the question and A the answer choice i said it was..

placid knot Nov 4, 2021, 5:38 PM

#

i guess no procedure is shown

#

the solution should be 0

viscid thistle Nov 4, 2021, 5:39 PM

#

There's no answer choice that is 0 lol

placid knot Nov 4, 2021, 5:39 PM

#

can you show the original question? to make sure we're not missing something

viscid thistle Nov 4, 2021, 5:39 PM

#

placid knot Nov 4, 2021, 5:39 PM

#

,rotate

obsidian monolithBOT Nov 4, 2021, 5:40 PM

#

placid knot Nov 4, 2021, 5:42 PM

#

wait lol

#

the 28 is not the question number, it's part of the problem

viscid thistle Nov 4, 2021, 5:42 PM

#

OH LMAO

#

I WAS SO CONFUSED LOL

placid knot Nov 4, 2021, 5:42 PM

#

i think that's enough for you to solve it 😛

#

me too lmao

viscid thistle Nov 4, 2021, 5:42 PM

#

Thank you so much and sorry if I wasn't clear on my question or came off a little rude

placid knot Nov 4, 2021, 5:43 PM

#

aight, mystery solved. no problem lol

viscid thistle Nov 4, 2021, 5:43 PM

#

iloveyou

warped tundra Nov 4, 2021, 6:55 PM

#

Hello! I need some help with my precal homework. My teacher sent me an example but I’m too embarrassed to ask her any questions again.

#

#

viscid thistle Nov 4, 2021, 7:14 PM

#

So what I'm thinking is this
Log5(128)xLog128(2)=Log5(2)
5^3=125~128
2^7=128
So 3/7=Log5(2)
lol

Log5(75/8)=Log5(75)-Log5(8)=Log5(25)+Log5(3)-3Log5(2)
Log5(3)=Log27(3)Log5(27)~2/3 (Since 27 is kinda close to 25)
So Log5(75/8)=2+2/3-3x3/7

#

Oh wait they already gave you Log5(8) and Log5(3)

tepid cloak Nov 4, 2021, 7:36 PM

#

can someone help me pls

#

viscid thistle Nov 4, 2021, 7:41 PM

#

Those are just circles, I think
(x-1)^2+(y+2)^2=26
(x-6)^2+(y-3)^2=16

tepid cloak Nov 4, 2021, 7:43 PM

#

wait im confused

#

how do you get the x and y values if the distance is given

viscid thistle Nov 4, 2021, 7:43 PM

#

#

Think of it like this
P(x,y)
P1(1,-2)
The vector PP1 = (x-1,y+2) has a length sqrt((x-1)^2+(y+2)^2)
You want that length to be equal to sqrt(26)

#

https://en.wikipedia.org/wiki/Euclidean_vector#Length

Euclidean vector

In mathematics, physics and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a ray (a directed line segmen...

tepid cloak Nov 4, 2021, 7:47 PM

#

oh but how did you get 1 and -2 values

viscid thistle Nov 4, 2021, 7:48 PM

#

That's point P1

uneven basin Nov 4, 2021, 8:05 PM

#

#

Can someone help me with this?

viscid thistle Nov 4, 2021, 8:12 PM

#

I think if you can multiply u by a constant c so that it's equal to v then they are collinear
meaning
cu=v
(-8c,5c)=(x,-2)
-8c=x
5c=-2
<=> x/-8=c=-2/5
I hate arithmetics

uneven basin Nov 4, 2021, 8:29 PM

#

ok thanks

uneven basin Nov 4, 2021, 9:05 PM

#

#

just needed help with this last question on my review

small tree Nov 5, 2021, 1:55 AM

#

#

hi, can some explain to me why the system got this answer? thank you..

opaque flicker Nov 5, 2021, 2:33 AM

#

small tree

because in the domain [0,90] the cos function is an increasing function, so cos(30) < cos(40)

oak drum Nov 5, 2021, 2:54 AM

#

does anyone know how to find values a, b, and c given three points (0,4),(1,14),(2,20) and the exponential equation S(t)=ae^bt +c?

gilded sapphire Nov 5, 2021, 8:28 AM

#

opaque flicker because in the domain [0,90] the cos function is an increasing function, so cos(...

decreasing*

gilded sapphire Nov 5, 2021, 8:29 AM

#

oak drum does anyone know how to find values a, b, and c given three points (0,4),(1,14),...

S(0) = ae^b(0) + c = 4
^ like this

oak drum Nov 5, 2021, 8:31 AM

#

gilded sapphire S(0) = ae^b(0) + c = 4 ^ like this

ah yes i’ve gone from there but still no success- thank you though, that’s the right start

gilded sapphire Nov 5, 2021, 8:35 AM

#

oak drum ah yes i’ve gone from there but still no success- thank you though, that’s the r...

a + c = 4 ..... i
ae^b + c = 14 .....ii
ae^(2b) + c = 20 ....iii
subtract i from ii & ii from iii
then divide the result of the two

oak drum Nov 5, 2021, 8:36 AM

#

gilded sapphire a + c = 4 ..... i ae^b + c = 14 .....ii ae^(2b) + c = 20 ....iii subtract i from...

thank you so much i think this is exactly what i was stuck on :)

cunning raptor Nov 5, 2021, 9:32 AM

#

How would I approach this question? I tried using trig identities and the squeeze theorem but still can't quite get it:

#

$latex.png$

opal prairie Nov 5, 2021, 9:39 AM

#

cunning raptor

Try using l'hospital

cunning raptor Nov 5, 2021, 9:39 AM

#

opal prairie Try using l'hospital

I am not allowed to use it but thanks for the suggestion

willow bear Nov 5, 2021, 9:46 AM

#

who typeset this

#

it looks horrible

#

$\lim_{x \to 0} \frac{\sin(29x)}{\tan(2x)}$

obsidian monolithBOT Nov 5, 2021, 9:46 AM

#

Ann

willow bear Nov 5, 2021, 9:46 AM

#

anyway, may i suggest multiplying and dividing by x?

#

so you have $\lim_{x \to 0} \frac{\sin(29x)}{x} \cdot \frac{x}{\tan(2x)}$

obsidian monolithBOT Nov 5, 2021, 9:46 AM

#

Ann

cunning raptor Nov 5, 2021, 9:54 AM

#

willow bear anyway, may i suggest multiplying and dividing by x?

and what would be the next step? nani

willow bear Nov 5, 2021, 9:55 AM

#

well, are you able to find the limit of sin(29x)/x as x -> 0?

cunning raptor Nov 5, 2021, 9:56 AM

#

well yes, it would still be in Indeterminate form

quiet marsh Nov 5, 2021, 10:00 AM

#

can someone explain to me how to solve this?

obsidian monolithBOT Nov 5, 2021, 11:40 AM

#

RaghavJeyan

trim epoch Nov 5, 2021, 11:40 AM

#

@quiet marsh

quiet marsh Nov 5, 2021, 11:41 AM

#

wait is that it

#

oh my god that is it

#

thanks

oak drum Nov 5, 2021, 5:36 PM

#

would this simplify to 6=ae^b(2)-ae^b, if so I likely did something wrong in the previous parts.

Screen_Shot_2021-11-05_at_1.33.17_PM.png

willow bear Nov 5, 2021, 6:08 PM

#

yes, $ae^{2b} - ae^b \neq b$.

obsidian monolithBOT Nov 5, 2021, 6:08 PM

#

Ann

willow bear Nov 5, 2021, 6:08 PM

#

...wait, what

#

what even happened there

#

did you try to add on the left side but subtract on the right?

#

looks like this is nonsense in more ways than one.

#

@oak drum do you happen to have the original problem statement that this is the solution for?

oak drum Nov 5, 2021, 9:04 PM

#

i’m not even sure what happened i’ve got it in a huge mess 3: it’s a multi step problem where i am to use three points to find an exponential model, i can get a screenshot of it

oak drum Nov 5, 2021, 9:07 PM

#

willow bear <@341388432607674368> do you happen to have the original problem statement that ...

here's what I was given and I also have substituted in the three points I was also given into S(t)=ae^bt+c, ill show what ive done there as well, i may have simplified them incorrectly

#

oak drum Nov 6, 2021, 3:44 AM

#

problem resolved, i met with my professor privately today kwa

spark junco Nov 6, 2021, 3:36 PM

#

guys whats the F(x) here??

vapid plaza Nov 6, 2021, 3:38 PM

#

You mean f(x)?

spark junco Nov 6, 2021, 3:38 PM

#

no the integral

vapid plaza Nov 6, 2021, 3:39 PM

#

..integral?

#

You mean sigma?

#

Summation?

spark junco Nov 6, 2021, 3:39 PM

#

no

#

what is the integral of f(x)

vapid plaza Nov 6, 2021, 3:39 PM

#

Oh

#

Just integrate every term in the sigma

spark junco Nov 6, 2021, 3:39 PM

#

😐

#

and how do i do that

vapid plaza Nov 6, 2021, 3:41 PM

#

Use the power rule for integral

spark junco Nov 6, 2021, 3:42 PM

#

wait do i just have to add +1 to every n

vapid plaza Nov 6, 2021, 3:43 PM

#

And divide the term by n+1 as well

#

#

I reckon

spark junco Nov 6, 2021, 3:43 PM

#

oh ok

#

lol

#

i thought i had to eliminate the sum notation somehow

vapid plaza Nov 6, 2021, 3:44 PM

#

The sum notation is the general form for some N-degree polynomial

spark junco Nov 6, 2021, 3:44 PM

#

alright thank you

small tree Nov 7, 2021, 1:15 AM

#

#

hi, can you plz explain how the system got this answer.. thank you!

full pagoda Nov 7, 2021, 1:16 AM

#

rewrite cscx*tanx in terms of sin and cos

small tree Nov 7, 2021, 1:19 AM

#

yeah lol but how

small tree Nov 7, 2021, 1:44 AM

#

nvm i got it

short pilot Nov 7, 2021, 7:10 AM

#

does someone here know about perpendircular lines

#

and general ecuation

#

#

i really can not do resolve this one

#

it says finds the k value so that these general equations are perpendicular

uncut mulch Nov 7, 2021, 7:30 AM

#

do you know the relation between the slopes of perpendicular lines?

eternal void Nov 7, 2021, 4:04 PM

#

#

is this not correct?

#

nvm

#

i just found out

small tree Nov 7, 2021, 5:39 PM

#

#

hello, can you please explain, these 2 to me.. like why is option "d" the answer to 1- tan(theta)/1+tan(theta).. and also the orange one thank you!!

astral root Nov 7, 2021, 9:08 PM

#

I’m having trouble understanding why -1<=cos x<=1 becomes -|x|<=xcos x<= |x|

#

Actually I understand it now nvm

limber compass Nov 7, 2021, 9:22 PM

#

plucky perch Nov 7, 2021, 9:24 PM

#

hi

#

anyone active here rn?

#

#

I m interested to know why wolfram thought of resolving that limit instead of the given one, as in, how did it come up with the 1/4 term and +3 term?

rugged briar Nov 7, 2021, 9:32 PM

#

is this precalc?

plucky perch Nov 7, 2021, 9:32 PM

#

i suppose?

#

limits of series are done before continuous limits so i thought it should be

sick steppe Nov 7, 2021, 9:38 PM

#

yeah this is just a geometric series, so it's fine in precalc

#

I also wouldn't personally follow what Wolfram gave, the sum $\sum_{i=0}^n(\frac{-1}{3})^n$ has a known explicit formula

obsidian monolithBOT Nov 7, 2021, 9:39 PM

#

Mosh

plucky perch Nov 7, 2021, 10:07 PM

#

that is?

ionic sparrow Nov 8, 2021, 6:29 AM

#

Pls help

#

This is 1,3, and 5 right?

echo wagon Nov 8, 2021, 6:29 AM

#

Yes

ionic sparrow Nov 8, 2021, 6:29 AM

#

Oh

#

Tyyyy

echo wagon Nov 8, 2021, 6:30 AM

#

👍

ionic sparrow Nov 8, 2021, 6:32 AM

#

I have a feeling this might be wrong

#

Can u let me know pls

echo wagon Nov 8, 2021, 6:33 AM

#

Oh

#

But if you are allowing duplicate roots and not considering multiplicity, then your previous answer is wrong

ionic sparrow Nov 8, 2021, 6:34 AM

#

Oh

echo wagon Nov 8, 2021, 6:34 AM

#

Then a 5th degree polynomial function can have 4 roots

#

e.g. (x+1)^2(x+2)(x+3)(x+4)

ionic sparrow Nov 8, 2021, 6:35 AM

#

Hm

#

So if it’s a duplicate root and not considered multiplicity, a 5th degree can also be said to have 4 roots??

echo wagon Nov 8, 2021, 6:36 AM

#

Yes

#

Or 2 roots

ionic sparrow Nov 8, 2021, 6:36 AM

#

And a 4th degree can only have 3 real roots when there’s a duplicate root and not considered multiplicity

#

Ohh

echo wagon Nov 8, 2021, 6:38 AM

#

No, a 4th degree polynomial can only have 4,3,2,1 or 0 roots if you don't consider multiplicity, and 4,2,0 roots if you do (by which I mean a repeated root is counted twice)

ionic sparrow Nov 8, 2021, 6:40 AM

#

Ohhh

#

That makes a lotta sense tyyyy

echo wagon Nov 8, 2021, 6:41 AM

#

👍

gilded sapphire Nov 8, 2021, 8:26 AM

#

plucky perch that is?

its infinite gp

#

1 -1/3 + 1/9 - 1/27 + ..... here r is -1/3

#

and a is 1

#

the forumla for gp is a(1-r^n)/(1-r) when r < 1, r^n where n -> infinity is basically zero so the formula for some of infinite gp will be (a - ar^n)/(1-r) => a/(1-r) [as ar^n -> 0]

astral root Nov 8, 2021, 12:07 PM

#

How do I use the squeeze theorem to evaluate the limit as x->0 of x^2sin(1/x)

echo wagon Nov 8, 2021, 12:10 PM

#

-1 <= sin(1/x) <= 1, and x^2 >= 0

#

Combine those to get bounds for your function whose limits are the same

sharp owl Nov 8, 2021, 2:18 PM

#

Hey guys,
Anyone from Kuwait?

viscid thistle Nov 8, 2021, 2:35 PM

#

echo wagon Combine those to get bounds for your function whose limits are the same

sotrue

obtuse dagger Nov 9, 2021, 2:07 AM

#

Hello. I am having trouble understanding how to find the difference quotient of a function; apparently, f(x) = (see attached image) and not 5/4h^2, when the difference quotient of f is f(x + h) - f(x) / h. Does anyone know why?

Screen_Shot_2021-11-08_at_9.02.14_PM.png

round hemlock Nov 9, 2021, 2:18 AM

#

obtuse dagger Hello. I am having trouble understanding how to find the difference quotient of ...

What is the main problem?

#

We can't tell how to do it if you give an answer but no question

#

Are you saying that the difference quotient is $$-\frac{20}{(4x+4h-3)(4x-3)}$$

obsidian monolithBOT Nov 9, 2021, 2:20 AM

#

Omega Warrior

round hemlock Nov 9, 2021, 2:21 AM

#

and not $$\frac{5}{4h^2}$$

obsidian monolithBOT Nov 9, 2021, 2:21 AM

#

Omega Warrior

obtuse dagger Nov 9, 2021, 2:24 AM

#

@round hemlock Yes, exactly.

round hemlock Nov 9, 2021, 2:24 AM

#

Ah I get it

#

But what is the problem?

obtuse dagger Nov 9, 2021, 2:24 AM

#

Hold on. I will post the question

round hemlock Nov 9, 2021, 2:24 AM

#

Alright

obtuse dagger Nov 9, 2021, 2:25 AM

#

Screen_Shot_2021-11-08_at_9.24.52_PM.png

round hemlock Nov 9, 2021, 2:25 AM

#

ok

#

you should get $$\frac{\frac{5}{4(x+h)-3}-{\frac{5}{4x-3}}{\frac{5}{4h-3}}$$

obsidian monolithBOT Nov 9, 2021, 2:28 AM

#

Omega Warrior

you should get $$\frac{\frac{5}{4(x+h)-3}-{\frac{5}{4x-3}}{\frac{5}{4h-3}}$$
```Compilation error:```! File ended while scanning use of \frac .
<inserted text> 
                \par 
<*> 538528087764107274.tex
                          
I suspect you have forgotten a `}', causing me
to read past where you wanted me to stop.
I'll try to recover; but if the error is serious,
you'd better type `E' or `X' now and fix your file.```

round hemlock Nov 9, 2021, 2:28 AM

#

ok nvm it didnt work

obtuse dagger Nov 9, 2021, 2:28 AM

#

Actually, I think I saw my mistake

round hemlock Nov 9, 2021, 2:29 AM

#

oh

obtuse dagger Nov 9, 2021, 2:29 AM

#

I only subtracted the denominator (4x - 3) and not all of f(x), which is 5/4x-3

round hemlock Nov 9, 2021, 2:29 AM

#

yeah

obtuse dagger Nov 9, 2021, 2:30 AM

#

Tehe

round hemlock Nov 9, 2021, 2:30 AM

#

you need to take the entire function and substitute each part in

#

so x for x, x+h for x, etc.

obtuse dagger Nov 9, 2021, 2:30 AM

#

Right

#

Can I ask you one more question

#

?

round hemlock Nov 9, 2021, 2:30 AM

#

sure

obtuse dagger Nov 9, 2021, 2:31 AM

#

Ok

#

hold on

round hemlock Nov 9, 2021, 2:31 AM

#

I'm in Calculus, so I get anything in Precal

obtuse dagger Nov 9, 2021, 2:31 AM

#

Ha

#

I have to take Calculus, too -- after I finish precalc, of course

round hemlock Nov 9, 2021, 2:31 AM

#

yeah

#

I'm taking Calculus I and II this year and Calculus III next year

obtuse dagger Nov 9, 2021, 2:32 AM

#

Ok, so, number 87 in the picture I posted has an answer of 2x + h - 1. However, I got 2x + h. Do you know where the -1 came from?

#

I'm doing the same but for precalc (I and II) :l

round hemlock Nov 9, 2021, 2:34 AM

#

oof

#

we only have one year of precal

obtuse dagger Nov 9, 2021, 2:34 AM

#

Ohh no. I am only doing one year, too; I am taking precalc I now and precalc II in the spring

round hemlock Nov 9, 2021, 2:37 AM

#

on 87 you should get $$\frac{((x+h)^2-(x+h)+4)-(x^2-2x+4)}{h^2-2h+4}$$

obsidian monolithBOT Nov 9, 2021, 2:37 AM

#

Omega Warrior

round hemlock Nov 9, 2021, 2:38 AM

#

@obtuse dagger

#

when you substitute all of the values

#

and then simplifying you get:

obtuse dagger Nov 9, 2021, 2:39 AM

#

What?

round hemlock Nov 9, 2021, 2:39 AM

#

$$\frac{((x^2+2xh+h^2)-(x+h)+4)-(x^2-2x+4)}{h^2-2h+4}$$

obsidian monolithBOT Nov 9, 2021, 2:39 AM

#

Omega Warrior

round hemlock Nov 9, 2021, 2:41 AM

#

doing further simplfying gives $$\frac{((2xh+h^2)-(-x+h))}{h^2-2h+4}$$

obsidian monolithBOT Nov 9, 2021, 2:41 AM

#

Omega Warrior

obtuse dagger Nov 9, 2021, 2:42 AM

#

You solved this differently than I did

#

Hmm

#

I got the answer right, but I was just missing a -1 :\

round hemlock Nov 9, 2021, 2:45 AM

#

oh

#

wait

#

i realized i made a mistake

#

thats why its not solving right

#

$$\frac{((x+h)^2-2(x+h)+4)-(x^2-2x+4)}{h^2-2h+4}$$

obsidian monolithBOT Nov 9, 2021, 2:46 AM

#

Omega Warrior

round hemlock Nov 9, 2021, 2:46 AM

#

this is what it actually was

#

$$\frac{((x^2+2xh+h^2)-2(x+h)+4)-(x^2-2x+4)}{h^2-2h+4}$$

obsidian monolithBOT Nov 9, 2021, 2:46 AM

#

Omega Warrior

round hemlock Nov 9, 2021, 2:47 AM

#

$$\frac{((2xh+h^2)-h)}{h^2-2h+4}$$

obsidian monolithBOT Nov 9, 2021, 2:47 AM

#

Omega Warrior

round hemlock Nov 9, 2021, 2:47 AM

#

wait

#

I DID IT WRONG AGAIN

#

AAAAAAAAAAAAAAAAAAA NOTATION SUCKS

#

anyway

#

$$\frac{((x^2+2xh+h^2)-(x+h)+4)-(x^2-x+4)}{h^2-h+4}$$

obsidian monolithBOT Nov 9, 2021, 2:48 AM

#

Omega Warrior

obtuse dagger Nov 9, 2021, 2:49 AM

#

I think you are miscalculaing the denominator. It's just h, remember ?

round hemlock Nov 9, 2021, 2:49 AM

#

ohhhhh

obtuse dagger Nov 9, 2021, 2:49 AM

#

Lol!

#

It's ok, though

round hemlock Nov 9, 2021, 2:50 AM

#

my brain is slightly dead from doing fundamental theorems of integrals

#

so sorry

obtuse dagger Nov 9, 2021, 2:50 AM

#

It's aww

#

it's all good dude

round hemlock Nov 9, 2021, 2:50 AM

#

$$\frac{((x^2+2xh+h^2)-(x+h)+4)-(x^2-x+4)}{h}$$

obsidian monolithBOT Nov 9, 2021, 2:50 AM

#

Omega Warrior

obtuse dagger Nov 9, 2021, 2:50 AM

#

I will take a look at this problem tomorrow

#

Don't sweat it

round hemlock Nov 9, 2021, 2:50 AM

#

$$\frac{((2xh+h^2)-h)}{h}$$

obsidian monolithBOT Nov 9, 2021, 2:50 AM

#

Omega Warrior

round hemlock Nov 9, 2021, 2:51 AM

#

and thus, 2x+h-1

#

@obtuse dagger there solved it

#

Sorry about that, I wasn't taking a good look at the problem

obtuse dagger Nov 9, 2021, 2:52 AM

#

Ha! You did 😏

round hemlock Nov 9, 2021, 2:52 AM

#

yep

#

I should have written the problem down first, I wasn't looking at the question

obtuse dagger Nov 9, 2021, 2:52 AM

#

No worries! I can't believe I overlooked that

#

lol

#

Dude, thank you

round hemlock Nov 9, 2021, 2:53 AM

#

No problem

obtuse dagger Nov 9, 2021, 2:53 AM

#

I am going to bed now, though

round hemlock Nov 9, 2021, 2:53 AM

#

Oh

#

gn

#

I'm not going to bed until another 2 hours or so

obtuse dagger Nov 9, 2021, 2:53 AM

#

Have a goodnight and, try not to work too hard!

#

Eesh!

#

I can't unfortunately

round hemlock Nov 9, 2021, 2:54 AM

#

I'm most likely in a different timezone than you lol, so that's why

obtuse dagger Nov 9, 2021, 2:54 AM

#

Ahhh

#

That may be it lol

#

Either way, have a goodnight and thanks again!

round hemlock Nov 9, 2021, 2:55 AM

#

No problem and goodnight

short pilot Nov 9, 2021, 3:04 AM

#

#

Trad: the right soports of the sides of a triangle are:...

#

Find the a,b,c

#

I tried to the distance but it didn't work

#

What can i do to find the a,b and c

round hemlock Nov 9, 2021, 3:09 AM

#

short pilot What can i do to find the a,b and c

find the points where each of the graphs intersect each other

#

where AB and AC intersect is Point A, where AB and BC intersect is Point B and where AC and BC intersect is Point C

short pilot Nov 9, 2021, 3:10 AM

#

Aaaaa

#

Thank u

round hemlock Nov 9, 2021, 3:10 AM

#

no problem

short pilot Nov 9, 2021, 3:10 AM

#

I didn't think about do that

round hemlock Nov 9, 2021, 3:11 AM

#

@short pilot anything else?

short pilot Nov 9, 2021, 3:11 AM

#

Nope, thank u fr

round hemlock Nov 9, 2021, 3:11 AM

#

you're welcome 😄

quasi bolt Nov 9, 2021, 6:59 AM

#

hi, i have a question

#

what is the next state of precalculus?

willow bear Nov 9, 2021, 8:07 AM

#

"next state"?

vapid plaza Nov 9, 2021, 8:19 AM

#

That would be postcalculus opencry

quasi bolt Nov 9, 2021, 1:02 PM

#

willow bear "next state"?

sory, is next stage, next level

late mica Nov 9, 2021, 1:58 PM

#

Calculus

gilded sapphire Nov 9, 2021, 3:11 PM

#

vapid plaza That would be postcalculus <:opencry:586078614865444865>

that would be the next stage of calculus

round hemlock Nov 10, 2021, 1:13 AM

#

vapid plaza That would be postcalculus <:opencry:586078614865444865>

😂

static linden Nov 10, 2021, 4:46 AM

#

hello

#

can someone help me its not precalucls

#

but i couldnt have permission to send in chats

#

<@&286206848099549185>

#

round hemlock Nov 10, 2021, 5:21 AM

#

static linden

do 90*10

static linden Nov 10, 2021, 6:05 AM

#

round hemlock do 90*10

ty

willow bear Nov 10, 2021, 7:24 AM

#

round hemlock do 90*10

do not give out answers.

static thistle Nov 10, 2021, 3:46 PM

#

@willow bear why is that a rule of something

willow bear Nov 10, 2021, 3:46 PM

#

what, the not giving out answers thing?

#

yes, it's a rule on this server.

static thistle Nov 10, 2021, 3:47 PM

#

hmmm why tho it doesn’t seem ethical wrong

willow bear Nov 10, 2021, 3:48 PM

#

we are not chegg

static thistle Nov 10, 2021, 3:49 PM

#

well yeah of course this a improper forum board

#

but what is ethically wrong with giving someone an answer that they want

round hemlock Nov 10, 2021, 3:55 PM

#

willow bear do not give out answers.

There wasn’t any other way you could have said it

#

Unless like you say that 0.1x=90

#

Idk

willow bear Nov 10, 2021, 4:01 PM

#

static thistle but what is ethically wrong with giving someone an answer that they want

you're always welcome to ping Moderators to convince them to rewrite the rules

willow bear Nov 10, 2021, 4:01 PM

#

round hemlock Unless like you say that 0.1x=90

yes, say it like that at least

round hemlock Nov 10, 2021, 4:03 PM

#

willow bear yes, say it like that at least

Ah alright, will take it into consideration for basic problems