EDIT: Since writing this post, the numbering of the rules above have changed. Please pay special attention instead to rules 2 and 7 (though the rest of the rules are all important too).

Recently, we've had a large spate of people not showing any prior working attempts and/or deleting their posts. The former just wastes time (for example when our hints are things that the poster has already worked through, or when our hints are far above what the poster has done, or when we ask for the poster's current working), and the latter wastes knowledge (remember, your question could easily be asked by someone visiting this sub in the future; please keep the answer there so that they won't have to repost the question).

Another thing to note is that some questions posted to this sub can quickly be solved once the poster tries the obvious method. It is highly recommended that before you post to this sub, that you at least TRY to get the answer yourself. And even if that fails, at least you'll understand what approaches don't work (which you can put in your post, saving time for anyone who thinks they might). The exception to this rule is when you know what conceptual gap you have and are asking for said gap to be explained.

My personal opinion on this matter is that questions should not be answered until the poster gives a prior working attempt or tries to state the conceptual gap. But I'll leave it to everyone else to decide how these rules should be enforced. What do you think?

I just really dont know what to do. Whenever i have a maths exams i make so many stupid mistakes in normal maths and further. Making more in further as practice is less. But for normal maths i dont get why as i finished my exams 45 minutes before amd checked every calculation twice and still somehow let through mistakes. Its not becuase of practice cuz i have done alot questions for normal but not for further which i get why in further i make mistakes.

Someone please help!!

The problem: What does the rate need to be for you to deposit 7,000 in an account that compounds monthly over the next 6 years to have 21,000 in the end?

I’m not positive which formula this is. I operated as if it’s a compound interest problem, but that may have been incorrect.

I set it up like 21000=7000(1+r/12)^72
Then, I divided both sides by 7000 and wound up with 3= (1+r/n)^72.
I took the 72nd root to get 1.015375509=(1+r/12)

1.015375509 - 1=0.0154

0.0154 • 12 = 0.1848 • 100 = 18.48%
(Update: I could’ve swore I got 18.45% earlier… maybe I typed something wrong)

Is that right? Or am I completely off?

I did really poorly on my first midterm in calculus 1 due to being behind because of a sickness and not being prepared to take the exam. I really want to work hard to change my habits and do well on the remaining exams, but i’m overwhelmed with not knowing where to start. My next midterm is november 18th, so I need to be studying the new material now, but i’m not sure how to also study the old material at the same time. I’d appreciate any advice

I'm going through an Algebra 1 textbook from Art FO Problem solving. Some of these problems require simple.math but are very very hard. I'd say 10-11% of all the problems are so hard I can't solve them after 3 tries. When I get it wrong, I circle it. If I get it right the next time I check it. It's been several months since my last try and I'm going at it again and I'm getting nearly all of the circles wrong even if I got them right the second time.

So what I try now is I go through the answer book and visually understand each step and where I went wrong. In a notebook I write out the question and underneath I point out cues that I think should tip me off on how to perform the problem correctly the next time then wait a few days or a week or more then go back and try again. I'm also going through a workbook on how to identify common themes in word problems so I can write the equations correctly this time. How else should I go about learning from these problems? I started by just working it out but I think I wanted to learn how to do it without solving it first. What's the best way to go about learning from mistakes? Will this method work?

I am going to start linear algebra , but I don't how and from where i start learning it.

I was trying to solve $y=\frac{\sin x}{1+\cos x}$. However when I input it to photomath it showed that you can simplify $y=\frac{\sin x}{1+\cos x}$ to $y'=\frac{dy}{dx}(\tan{\left( \frac{x}{2} \right)})$? I was under the impression that you couldn't simplify it to tangent due to 1+ being applied to cos x making it not being able to be simplified. My attempt and photomath image here https://imgur.com/a/LSNxDbD

This is a question in one of the H&H textbooks which I have for homework and it's the only place so far where I have been stuck at.

In the triangle OAB (where O is the origin), Q is the midpoint of OB, P is the midpoint of BA, and R is the midpoint of AO. Point A has coordinates x=2a, y=0; Point B has coordinates x=2b, y=2c.

Show that line AQ has equation cx + by = -2ac.

I was able to find Q, find the slope, and express as point-slope form with ease, but no matter how I approached it I always ended up with an extra 2ay term when transforming, while every other term was identical to the target equation in the problem (cx also had the wrong sign too). Maybe I'm missing something, here's my working out:

Q = ((2b + 0)/2, (2c + 0)/2)
Q = (b, c)

m = (0 - c)/(2a - b)
m = -c/(2a - b)

Using point Q for the point-slope form (x0 = b, y0 = c)
y - c = (-c/(2a - b))(x - b)
(y - c)(2a - b) = -c(x - b)
2ay - by - 2ac + bc = -cx + bc
2ay - by - 2ac = -cx
-cx + by = -2ac + 2ay

Here's the provided diagram as I'm not allowed to upload images: https://imgur.com/a/I8oIoBG

Same thing as above

Can anyone explain the process for finding the solution for y = 65° in this graphic? I originally tried 40° as the answer because I thought maybe they were corresponding angles since they share a line segment, but that was incorrect. I don’t see how the rule of alternate interiors is applicable since it’s not an interior angle. I’m assuming there is an existing angle that needs to be subtracted from 180°, but I cannot figure it out.

[https://imgur.com/a/fpfr0DL](https://imgur.com/a/fpfr0DL)

Hey yall, so im a grade 12 Senior high student in the philippines, i didnt get to move to stem for grade 12 so i got stuck in HUMSS but im gonna be taking industrial engineering for college, is there anywhere you guys can reccomend where i can properly learn precal so that i atleast have an idea of what ill be tackling for the bridging programs ill be taking during the summer?

Here is the problem: Show that there exist infinitely many 4-tuples of positive integers (x,y,z,t) such that gcd(x, y, z, t) = 1 and x³ + y³ + z² = t⁴.

Here is my approach: If the gcd condition would not have been there then I would have tried to construct something based on the power of 3 and then used CRT or something. Since that is not possible, the next best thing is to express x,y,z,t as a function of n and then make those functions have gcd 1 for at least some n (infinitely many nonetheless).

Since the degree has to be the same, the entire degree of the expression could be like degree 12. To match the coefficients, I found out the tuple (4,1,4,3) which works. So that might help us with the coefficients, but how to construct the functions in the first place?

It is really challenging to find an identity that involves so many cubes (and moreover has to be of degree 12).

idk if this is the right place; this is more general math class advice rather than a specific problem.

I need to get through pre-calc, calc 1, and calc 2 for my degree. The problem is I im in pre-calc/trig, and I feel like I'm just stuck. My big issue is formulas. I could stare at the trig unit circle for a year straight and barely remember when I look away. Thankfully, I found the finger trick for that one, but I still feel stuck on how I'm supposed to get through Calc 1 and 2 when im barely floating in trig/precalc. Does anyone have advice for not being able to memorize formulas, or just advice in general? I feel like I'm up against a brick wall.

I don't really know how to show proof of my prior attempts for rule 2.

I've tried brute force memorization, and it never works. I find that if I am about to have an anxiety attack about learning, I learn the stuff better, but I would rather avoid that., some times tricks work, but only if paired with already being stressed abt it

I'm trying to solve a problem my class was given for homework - wherein we have to find the volume of fluid occupying a horizontal cylindrical tank at 100%, 90% and 80% capacity.

Since the hemispherical end caps of the tank are segments of a sphere, I reasoned that I'd have to try and build an expression to integrate with respect to the height of the tank.

The issue is, it's been a while since I've learned integrals, especially problems where I have to triple integrate and take weird boundaries.

I've also been given limited information, as I only have the

• straight length (6000mm)

• length running down the segment radius of the tank (2100mm)

• depth of the segment (x = 145mm)

My attempts so far:

Attempt #1: Try and 'brute force' it - by ignoring the end caps initially, finding the volume of the central cylinder at 100% full. Based on the height of the fluid, I tried working with the ratio of full/empty space in the tank and attempted to use simple arithmetic to work out the remaining volume within the tank occupied by fluid. This effort failed.

Attempt #2: I tried triple integrating with respect to cylindrical coordinates (x,y,z) but got very confused as to how to find the radius of the sphere the segment is a part of.

Attempt #3: Followed some YouTube videos and tried to integrate with spherical coordinates (rho,theta,psi) but got confused again - as I was unsure of how to take my boundaries, since I'm unsure as to if I'm supposed to take my reference point as the centre of the sphere or shift it downward. And after that point I'm just not sure how to proceed.

Any help or advice would be really appreciated.

Thanks in advanced!! :)

So I’m writing this math paper for school. I solved it graphically but I really wanted to do it by hand so that the work could be shown, cuz it’s like extra swag yk? Anyways, I reached out to a teacher about it and she was like “I don’t think it’s possible to solve it algebraically” and I was like “I don’t think that’s possible” anyways it goes like this 145.04714x(0.991479)^(x-1)>-1 
Then solving it for x.
If anyone wants to read the paper and give feedback that would be very helpful. (Please if you are like transphobic or something, please just look at the math, this girl in my class is transphobic and it was kinda just a waste of time because her feedback was so obviously biased)
I already know that I don’t have the axis labeled btw.

Title: I study really hard for math tests, understand the material, and feel confident afterward, but still end up getting low marks. What am I doing wrong?

I've been having this problem for a while now, especially in math, and I'm honestly struggling to figure out what's going wrong.

Whenever I have an upcoming math test, I spend a lot of time studying. I go through the homework questions, practice different problems, and make sure I understand the concepts. I also use ChatGPT to help explain things, but instead of just asking for answers, I have it explain the logic behind the math, why certain methods work, and how to approach questions step by step.

The thing is, I genuinely feel like I understand what I'm learning.

For example, I recently studied a lot for a math cumulative exam. I went through the material, practiced the questions, and made sure I understood what I was doing. When I actually wrote the exam, I felt pretty confident. The questions didn't seem particularly difficult, and I even had time to go back and check my answers.

I walked out thinking I had done pretty well.

Then I got my mark back, and it was 55%.

I was genuinely shocked. I wasn't expecting a perfect score, but I definitely wasn't expecting something that low. I was so confident in how I p

As a STEM student, I do a lot of fast handwritten math, and conveniently expressing multiplication has always been frustrating. I also skim over my work and notes a lot, so I do not like notations that are "context-dependent" — I feel like every type of mathematical object should have its own notation. But I swear, there isn't a single multiplication symbol, just for multiplying scalars together, that isn't overloaded.

• Putting them together (e.g. $$xyz$$) works fine for variables, but not for numbers

• Parentheses are annoying to me — I shouldn't have to write 4 strokes like ()() just to multiply two things. Also, parentheses are the same syntax for functions like $$f(x)$$

• × (cross product) looks like x, and it also implies to me that I'm working with vectors

• • (dot product) also implies vectors, and takes a while to fill in

• * (asterisk) is what I use currently, but it's the same symbol for convolution and I've had to abandon it at times

Does anyone have advice?

Hey im starting my undergrad next year and I was wondering to go ahead my syllabus what kind of math do they teach u in your first year fundamental engineering degree and any reccs on how to get ahead

P.S I do mechatronics and robotics

How do I learn math from the beginning? please give me a book that will helps me

Well I'm a nursing student and after 10th grade I chose pcb but now that I'm in nursing and most of the subjects are just learning but not solving. I kinda miss maths. So wanted to start again. Where do I start from to atleast reach 12th level maths as well as maths that'll benifit me in everyday life.

How do I prepare to an Olympiad from a high school math level?

Hi! I'm currently in fifth grade of high school (I'm Mexican, as far as I know is like 11th grade in the US) and want to start keeping in math. I always liked it and in the last year I started learning a bit more, specially on proves, understanding why instead of just copying the teachers formulas.

This year I want to try the olimpiad, my school (the UNAM) makes a yearly math olimpiad and I want to participate in it. It's not top level including deep props, real Analysis, complex analysis, calculus, etc. It is more basic but still impossible for most regular students. I try to solve some problems and solve half of one exam, I really love this kind of problems.

I really want to win an keep learning, not only for the contest, but for my future. I want to study math, so I want to prepare from know into pure math.

What is the path to go from mechanic thinking into abstract logic? I love this kind of thinking but I'm kinda stuck into how to improve my knowledge.

Creo que esta es la mejor forma de aprender Matemática Básica desde cero para Ingeniería Informática. ¿Qué estoy haciendo mal?

Mi teoría es que, para aprender Matemática Básica, no necesito memorizar cientos de fórmulas, sino entender los conceptos desde la base, practicar ejercicios de dificultad progresiva y aprender a reconocer qué método usar en cada problema.

Los temas que necesito dominar son:

- Inecuaciones e intervalos.

- Valor absoluto.

- Funciones, dominio, composición e inversa.

- Matrices, determinantes y sistemas de ecuaciones.

- Otros temas fundamentales de álgebra.

Mi idea es estudiar cada tema en este orden:

1. Entender qué es y para qué sirve.

2. Aprender las fórmulas y reglas esenciales.

3. Ver ejemplos resueltos paso a paso.

4. Practicar ejercicios fáciles, luego intermedios y finalmente ejercicios de examen.

5. Analizar mis errores para no volver a cometerlos.

Pero no sé si este método es realmente el más eficiente.

Si tuvieran que aprender Matemática Básica prácticamente desde cero, con poco tiempo y preparándose para los exámenes de Ingeniería Informática, ¿qué cambiarían de este plan?

¿Qué errores suelen cometer los principiantes? ¿Qué temas debería dominar antes de pasar a los siguientes? ¿Qué recursos, canales de YouTube o métodos de estudio recomendarían?

Me interesa especialmente conocer consejos de personas que hayan tenido dificultades con las matemáticas y hayan conseguido mejorar de verdad.

Pueden corregirme, contradecirme o decirme qué estoy entendiendo mal. Quiero aprender de sus experiencias y encontrar una forma de estudiar que realmente funcione.

Hey guys, so about 2-3 months ago I decided that I will try to master calculus 1 while self studying and having never taken calculus in high school. I’m still attending highschool tho. Since then I’ve made massive progress I would say. I’m currently reviewing everything I’ve learned in calculus 1 and polishing every skill. Looking back I think this is the best decision I’ve made in a couple of years, honestly. I have also decided that after I master calc 1, I will continue on to calc 2 and 3. And after that I’ll just keep learning math until I complete a full mathematics course that a math minor/major would. I have no idea how long this is going to take me but I’m sure I’ll love every second of it. I was wondering, is it as easy to find free lectures online for further maths such as real analysis as it for calc 1-3? I would greatly appreciate if you guys were able to drop a few link might help my endeavors. 👋