r/askmath

Area of a parallelogram
▲ 4 r/askmath+1 crossposts

Area of a parallelogram

The height of Ashley’s problem seems right intuitively, if the parallelogram is pulled down, and the base of Tay’s seems right, but I’m not entirely sure if the units squared is 12. What is the best approach to this problem?

u/N-CHOPS — 6 days ago
▲ 74 r/askmath

I have stuck on this limit question for 1 hour😭

My answer 1. Inf 2. -inf 3.DNE 4. -1 5. DNE

I have tried multiple times but it keeps on saying at least 1 answer is not correct. I don't quite understand why it is incorrect. Please if anyone could help me out on this question, I will be very much appreciated 🙏🏻

u/GrapefruitGrouchy967 — 11 days ago

Sine/Cosine law word problems

Hello, I’ve been struggling with these word problems. If anyone can, is there a possibility that you could explain it with a diagram, I have a test tomorrow and I can’t grasp the diagram part of this unit. Thank you!

u/Wolfy_dungeon — 10 days ago

Have I created a new way for finding Pythagorean Triples?

I was recently experimenting with Pythagorean Triples, specifically creating a formula that could be used to make a Triple from just a hypotenuse.

I started by finding the relationship between square numbers, which can be put into the formulaic terms of n^2 = (n-1)^2 + 2n-1. If we simplify the right hand side, we get (n^2-2n +1) +2n-1= n^2.

I then realized that this could be put into the from of an a^2+b^2=c^2 where a^2 = 2n-1, b^2 = (n-1)^2, and c^2 = n^2. From here you square root all 3 terms to find that a^2 + b^2 = c^2 was the same as sqrt(2n-1) + n-1 = n, where n is the hypotenuse.

This means you can calculate any Pythagorean Triple from the infinite family in which the number you selected is the hypotenuse. This cannot calculate all Pythagorean triples, but it can calculate most.

In short, the formula is ( n, n-1, sqrt(2n-1) ), and I am wondering if it works.

Thanks in advance for any help.

EDIT: It cannot calculate most. I can calculate Triples from a specific family in which two sides differ by one

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u/NinjaPanther775 — 11 days ago

(i have no idea how to flair this) friend needs help with their homework, and i have NO idea how to help

they asked me for help, and i said i could try, but they are ahead of me in maths. i have NEVER seen math like this, and they are extremely confused on what theyre supposed to do. they think the end result is supposed to be a letter (i agree), but aren't sure. theyve checked both their textbook and khan academy, but to no avail. they say it is called "integrated math 1". is it possible for just a quick explanation so i can help them out? (they don't have reddit, and i apologize if this kind of post breaks a rule, i js really want to help them ^^)

EDIT: ok so it turns out im just an idiot, i have seen these maths before just not in this format.. oops.. thank you for all your help!!

u/jaxxyboo1 — 10 days ago
▲ 0 r/askmath+1 crossposts

¿cómo hallo la x en dos fracciones?

sé que algunos de ustedes cursáis universidad y veréis esto como una pregunta estúpida, yo voy a noveno grado y por favor necesito ayuda. simplemente copié el resultado de la pizarra

u/paauulitaa — 11 days ago

Solid mensuration

hii help plss, how do i solve this? volume and length. And is the answer same with the stairs form and if it is transformed as a rectangular one? I've tried getting the areas of each steps and now I'm stuck

u/DefMikyeo — 11 days ago
▲ 9 r/askmath+1 crossposts

Is this even a correct mindset to study math?

How you people study math?

I'm a self study person and would like to hear some suggestions from people who are doing math professionally.

This is how I study.

I usually study the theory part first and try to understand the core concepts and stuff like that and go for the examples and try them all of my own. Most of the time I come to the answer atleast have a idea how to initiate or set up.

But some time I'll have zero idea even after seeing the result that why they start that answer like that to prove something (it is this fact that I'm not able to start a proof by myself is exactly what bothers me each time) It seems they picked it out of blue and never in a million year I'll start with this argument because I don't see why they start with that idea at first place(I attached example below).Then I start to question that is my theory part even good? Do i really understood it? etc. All these just because I don't exactly see/know how to start a proof.

For eg take the one I showed in the pic. I will never start the procedure of taking BC× on both sides even if I give my self a whole day to prove that result.

Is this how people usually study or I'm Missing some core understanding or something?

It really frustrates me.

TIA :)

u/Any_Tower8201 — 11 days ago

Factorial expansion [Permutations and combinations]

Can anyone explain me expansion of Factors?

I understand 4!=4x3x2x1, but how do I expand (n+1)! And (n-1)!

I can't understand if I should add or subtract from n?

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u/Mac1avish — 11 days ago

I cannot understand this for the life of me [Calculus]

https://preview.redd.it/kesbf63g7hth1.png?width=309&format=png&auto=webp&s=e775c6ebf046355acef00a248e13a25cf7ebc907

The graph is stated to be a piecewise equation composed of 3 line segments and a quarter circle with radius 2 centered at (-3, 0).

c > 0 and f(c) = 0.

Essentially, the question is this: what is the value of c such that the average value of the function over the interval -5 <= x <= c is 1/2?

I know that the average value of a function can be found using 1/(b - a) * (F(b) - F(a)), where F(x) is the antiderivative of the function in question and the function is being evaluated over the interval (a, b). Of course, this difference of antiderivatives is equivalent to taking the integral of the function according to the Fundamental Theorem of Calculus.

But I genuinely do not understand how I can possibly find this value of c when I do not have a function to work with. Am I meant to integrate each piece of the function individually based on what I can see in the graph? What am I not understanding?

There were several other questions about this graph that I managed to work through, but this one feels impossible.

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u/parallaxastro — 11 days ago

Im had at math but I know some things I need solved for

Sorry if the flair is incorrect im bad at math.

A gorilla is 200kgs. And charges at 40km/h

A 80kg human throws a spining back kick. Where the peak speed of their foot is 70km/h.

The gorilla collides with the strike at its peak.

How much impact force is that?

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u/blue_and_shadow — 11 days ago

Help with 3 Calculus Problems

I want to improve my understanding and skills in math due to disabilities. I was recommended to try the textbook Calculus by Robert T. Smith and Roland B. Minton. Currently I am stumped on these three problems from section 2: Derivatives. I would also appreciate advice on how to answer correctly for problems 13 and 17 (like what to include how I got my answer to show my work, not just the sketch). The concept of problems 13 and 17 I really am not understanding and the book and videos I’ve watched have not been the most helpful (as I have a hard time applying what is covered in these resources but struggle with using it for problems not labeled with polynomials or numbers) the closest to explain it has been Curve Sketching by The Infinite Looper on YouTube.

Problem 35 a. Find all the points at which the slope of the tangent line to y = x^3 + 3x + 1 equals 5. The textbook has the answer as (√(⅔), 5 √(⅔) +1), (-√(⅔), -5 √(⅔) +1) and I can not figure out how to get it.

M tan = lim h->0 f(x+h)-f(x)/h

= lim h->0 [(x+h)^3 + 3(x+h) +1)] - [x^3 + 3x +1]/h

= lim h->0 x^3 +3x^2h + 3xh^2 + h^3 +3x + 3h + 1 -x^3 -3x -1/h

= lim h->0 3x^2h + 3xh^2 + h^3 +3h/h

= lim h->0 h(3x^2 +3xh +h^2 +3)/h

= lim h->0 3x^2 + 3xh +h^2 + 3

= 3x^2 + 3x(0) + (0)^2 + 3

= 3x^2 + 3

3x^2 + 3 = 5

3x^⅔ = ⅔

√(x^2) = √(⅔)

X = √(⅔)

And 3(√(⅔)^2 + 3 = 5

Problem 13. Use the graph of f to sketch a graph of f’. (Second picture)

(a)

For x &lt; 0, f is decreasing, so f’ &lt; 0

For x = 0, f has a horizontal tangent line (min), so f’ = 0

For x &gt; 0, f is increasing, so f’ &gt; 0

My graph is the third picture.

(b)

For x < a, f is increasing, so f’ > 0

For x = a, f has a horizontal tangent line (max), so f’ = 0

For a < x < b, f is decreasing, so f’ < 0

For x = b, f has a horizontal tangent line (min), so f’ = 0

For x > b, f is increasing, so f’ > 0

My graph is the fourth picture.

Problem 17. Use the given graph of f’ to sketch a plausible graph of a continuous function f. (fifth picture)

(a)

For x < a , f’ is positive, so f is increasing

For x = a, f’ changes positive to negative, so f has a max there

For a < x < b, f’ is negative, so f is decreasing

For x = b, f’ has a horizontal tangent line (min), so f ?

For b < x < c, f’ is negative, so f is decreasing

For x = c, f’ has a horizontal tangent line, so f ?

For x > c, f’ is negative, so f is decreasing

Once I understand better, I will make the graph.

Thank you for your assistance.

u/Nature-Trip — 10 days ago

Trying to find a particular factor of a polynomial with specific requirements

Ok so I’m trying to prove a result about sicherman dice and I’ve run into a snag

Suppose you have Monic Palindromic polynomial P(x), I would like to find Q(x) such that Q(1) = 1 and Q(x)|P(x) and P(x)/Q(x) has no negative coefficients.

So far I’ve just assumed that Q(x) is of the form 1-x+x^2-x^3+…+x^2n for all natural numbers n but I’ve found some counter examples, I also know it’s probably one cyclotomic polynomial in particular for a given P(x) but I fear it will grow my search space to drastically and if I tried to search through all that it would be too much.

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u/personguy555 — 11 days ago

weird problem and conflicting answers given to me, can someone explain it to me?

for context, this was a quiz problem and the quiz was handed back to me. in my head, since <ABD is 90 deg. that means DBC also is 90 deg. since ABC is a straight angle. I AM AWARE I MADE MANY INHERENT mistakes such as saying DBH equals 42, etc. could someone please explain this to me so I'm prepared for something like this on our test in a few days?

u/Enough-East-6689 — 10 days ago
▲ 2 r/askmath+1 crossposts

I just dont know what im supposed to do here. I am barely grasping instrisic angles

With the fact that e is not centered idk what do do. I guess i should find a way to locate e in ralotion to the center? DEB should be the same as AEC since they cross eachother. Im just really lost

With 5 is it just 50? Since thats the anlgue that mn cover. 9r does that just apply when its in the circle

All this execrcises seem to be like very simple but i jist dont know T_T

u/AngelReachX — 10 days ago

Do the positions of specific Riemann zeroes correspond to the positions of specific primes?

So I was watching a video about the Riemann hypothesis, and I was wondering something.

The Riemann hypothesis essentially states that provided there are no non-trivial zeroes of the Riemann Zeta function that fall off the critical line, the error between the estimate of the number of primes up to x, x/ln(x), will stay within a given bound.

What I'm curious about is that it's been shown that the first however many zeroes are all on the trivial line, and the first however many primes are within this bound.

Does that imply that if there were to be an off-line zero, it would affect a specific prime, like the Xth prime where X is some huge number will be out of error bounds because the Yth zero where Y is another huge number is off the line? Or does it affect the structure of primes as a whole in some way that simply wouldn't be clear by looking at the first few trillion or whatever?

Basically, I'm asking if a non critical line Riemann zero exists, does the position of that zero have anything to do with the position of where the primes drop out of the error bound? If not, how exactly would it affect the primes?

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u/TheSpaceYoteReturns — 11 days ago

Question

I found this question, the way i solved it was quite long but correct, i solved it by comparing the areas to find the radius. I was hoping if someone could find an easier method. (Calculator isn’t allowed)
The statement and question is written in the pic.

u/Shaheer342 — 11 days ago

Is this just dream logic?

I had a dream that the population of generations after baby boomers follows a pattern: after baby boomers the next generation lies on a tangent of a derivative of the function that produced the baby boomer number, the next generation after that is the same except we plug in the numbers of the previous generation instead of baby boomers, and so on... Is my subconscious getting at something or is it full of it? I only know the basics of calculus, but I was wondering if I hadn't accidentally come across something interesting unknown to me.

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u/coustrsou — 11 days ago
▲ 3 r/askmath+1 crossposts

Please help Tommorow is my exam

I was solving mean deviation for median but when solving median I came that

20 + 110/14 is 27.86 (AI said) but when I calculate it is 27.85 not 27.86 i asked ai to recheck it but he said “27.86 is correct when rounding the final answer to two decimal places.” is that correct? Or it's ok to write 27.85 exam?

u/ausernor — 11 days ago

Puzzle variant that came to me in a dream

https://preview.redd.it/jchjakig6gth1.png?width=1183&format=png&auto=webp&s=1ea97d2182de992e6c56efe8df2cc329014c6595

Goal: Draw a line that passes through all 9 squares.

The rules were:

  1. The line must pass through all 9 squares.
  2. The line must be contiguous.
  3. There can be as many line segments as you wish.
  4. Each line segment must start and stop on a node.
  5. The total length cannot exceed 4 units.

Each node is 0.25 units from its four neighbors.

The solution above is the closet that I could find. It has a total length of 4.02 units.

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u/StructureDue1513 — 11 days ago