Maths HL & Further
For HL and Further Maths discussions
1,179 topics in this forum
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- 2 replies
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I have a questiong about planes intersecting. I have two questions from earlier exams that I don't really understand how to solve. The questions I am wondering about are question 11(a), (b) and © on the M11/5/MATHL/HP2/ENG/TZ1/XX paper, and question 7(b) on the M09/5/MATHL/HP2/ENG/TZ1/XX paper. The questions are about lines intersecting at either points or lines when there is a variable (a) in the plane equation. Example 7(a): Plane 1: x+y+2z=2 Plane 2: 2x-y+3z=2 Plane 3: 5x-y+az=5 Find the value of a for which the planes do not meet at a unique point. When I look at the markscheme for help they seem to be using matrices, but since I am a May 2014 student I have no…
Last reply by Michael Wielondek, -
- 6 replies
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Hi! I'm having trouble with an integration problem. 2π × integral between 0 and 6 of (0.02x^3-0.39x^2+1.77x+0.18) × (sqrt(0.0036x^4-0.0936x^3+0.8208x^2-2.7612x+4.1329)) dx Does anyone know how to solve it or have any suggestions? Thanks heaps!
Last reply by Vioh, -
- 2 replies
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Hey Everyone! Since some time I've been wondering whether first-order differential equations are required from us on Math HL exam this May. I came across past exam questions which either explicitly stated "solve differential equation..." or required it in the method, such as the one which I attached to this post. I looked through the new syllabus and solving differential equations is not stated there in the "calculus" section. Moreover, in my Math book (Pearson HL Mathematics) the chapter "16.9 Differential equations" is marked as "optional". However, my Math teacher said that we may get such questions on our exam. I must say that I didn't really practice solving th…
Last reply by woytazthepilot, -
Lines and planes in space
by Guest hellokitty818- 3 replies
- 4.7k views
So for my hw...i have the question boats a position is given by x(t)=3-t, y(t)=2t-4 where the distance units are kilometers and the time units are hours. boats B's position is x(t)=4-3t, y(t)=3-2t then i found part a and b...then for part c it asks "what is the angle between the paths of the boats?'' but now i am stuck...i plugged it into the cosine equation cosx=(AdotB)/(A)(B) (() is absolute value) but then i got 83~~~....then i checked the answer and it was 97~~ and i saw if i subtract 180 form 83 you get the answer..but why??? or am i just doing it wrong??? then i need to find what time the boats are closest to each other HELP!!!
Last reply by Slovakov, -
- 4 replies
- 1.9k views
Hey guys, I have to choose a topic for my IA soon, and I was just wondering how "hard" does the topic have to be. Because I saw some topics like fractals and centroids, but not sure how to choose? Any advice would be helpful.
Last reply by cassylays7, -
dy/dx = (4x-y) / (2x+y) We are supposed to find the general solution by subbing y=vx, but I can't seem to get the right answer. Your help is much appreciated
Last reply by SYL, -
- 7 replies
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Hello, I am stuck on this problem right here: Find the first and second derivative of: x(t) = KC/(C + e-rt), where K, C and r are constants. Any idea on how you would do this? Is there some trick that I need to learn to be able to do this, or am I just looking at it the wrong way. Thanks in advance, Atham EDIT: Apparently the second deriv. simplifies down to -rt = ln C. I am not so sure though.
Last reply by Emilia1320, -
- 1 reply
- 733 views
Hello everyone, I don't know how to solve the following: (i edited cuz i didnt know how to put the pi expression) 1) Find the values of x if x between [0 and 2pi] in the following expression i) 2cos2x - 7cosx=0 ii) -1 + sin2x + 2cosx - sinx=0 and Rad(2)sinxtanx - rad(6)sinx -tanx + rad(3)=0
Last reply by SYL, -
- 5 replies
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i want to do either engineering or economics in college and currently my subjects are phsyics maths amd economics at the higher level and chemistry english and hindi at standard level and wish to apply to the top universities in USA. i am struggling with math hl and getting 4s and 5s while looking at the sl papers i know i could easily get a 7. so is it better to get a 5 in hl or a 7 in sl?
Last reply by SYL, -
- 4 replies
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Hello I have been looking for topics for my Maths IA, and I plan on doing it during the Easter holidays to get it over with. I want to study medicine, and thus I wanted to choose a topic that would somehow be part of that, to show personal engagement. I looked at disease spread and found the SIR model. It involves calculus, but I am afraid that it is not indepth enough. What I was looking to do is to try to show how I derived the SIR model, then to use real data and try to create a model and compare with the real life data (although I am not sure where I could find the data for a particular disease). I also wanted to include herd immunity and how changing certain fa…
Last reply by The Angelus, -
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Hey guys! We've recently started studying the option, and I have some troubles understanding how to find the order of the element in a group. Soo here's the question: The binary operator * is defined for a, b being real numbers by a * b = a + b – ab. The domain of * is now reduced to S = {0, 2, 3, 4, 5, 6} and the arithmetic is carried out modulo 7. Determine the order of each element in S. Could anyone shed some light on this? Thanks! Edit: I think I've got it, but just in case? Is the first order-element the element itself, or when the operation is applied only once? I'm going with the first (the element), but if anyone could clarify...
Last reply by mechnight, -
- 1 reply
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Hi guys, do you know any resources, lessons, handy websites, tutorials, videos or basically anything online or offline, to help learn the syllabus? I don't really understand how my teacher explains stuff, so I'd like someone else to explain the same material but taking a different approach. Thank you!
Last reply by Lynxarin, -
Math HL help
by Guest SNJERIN- 6 replies
- 941 views
Hi. So I have been trying to solve this problem but keep ending up with (a=1), hence there would be no area at all. However, the book says that the answer is a= 1+√3, and when you actually test it it does not work.
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Hey guys, I'm doing my math IA on mersenne primes. Anybody heard of this? If you have, do you have any ideas as to what I could explore using mersenne primes? I though maybe cryptography? though I'm not sure... even so, which aspect of cryptography might I explore using mersenne primes? Any suggestions would be helpful Thanks
Last reply by omgee, -
I am currently in Grade 10 and my teacher recommended I take SL Math. My grades were considerabely good, my knowing and understanding criterion was a 6. I believe I can take HL with the help of a tutor and dedication. I wanted to get your opinion on the matter. Should I take HL or SL? Thank you
Last reply by IbTrojan, -
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Why the magnitude of a velocity vector is speed? Cant it be distance?
Last reply by mechnight, -
- 1 reply
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Hi everyone, this is my first time writing in IBSurvival. I'm currently in second year of IB, taking the November 2015 exam. I did my HL maths exploration on geometry, specifically on various properties of ellipse and applying it to real life situation, but I just got my first draft for my maths exploration back, and I got 10/20................................................... even though I used really complex and rigorous mathematics. My teacher told me I didn't get mark because I didn't explain my maths clearly but more importantly, I didn't get any mark for personal engagement, and I was ofc like what the heck.......................... and he said if I can't co…
Last reply by Sofia., -
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Are there any edX/Coursera courses which are useful for Maths HL? For example, I've heard the 'Calculus: Single Variable' course by UPenn on Coursera covers most or all of the topics in the Calculus section of Maths HL. Thank you for your help!
Last reply by James Yang, -
HL exercises.
by l>- 1 reply
- 730 views
Hi everyone. Perhaps you know where I could find some free extra exercises besides question bank?
Last reply by Thrashmaster, -
- 8 replies
- 3.7k views
Hey guys, so in my school we started the options book finally (Very late. I know.) and I've been able to do a lot of these questions without any problem but these 2 questions in this book are really annoying. I tried to solve them multiple times and I still cant figure it out. I asked my math teacher if he could solve it and after he tried it a few times, he failed and said that there was probably a printing error but i don't think it is. Both these questions look like that have a proper answer but i just dont know how to get to it. Can someone please help me? The questions are on page 29 chapter 1 - Limits of sequences and functions in the Cambridge Mathematics Higher le…
Last reply by Aninda Saha, -
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So my teacher screwed me over by not giving me proper corrections and my math exploration ended up being too simple and quite bad. I am pretty certain that I am going to fail it, and at worse I will get an 7 on it (at best around 12). Could I still get a 5 in my final grade? My grades have been a consistent 5/4-5/6 in practice exams.
Last reply by Louistheitaly, -
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Hi, I am almost done with my final draft for the Math HL IA. It's just, I still haven't really used any sources. My project is on scrabble. It aims to find the probability of getting a bingo at the start of a game. I assume I should reference Scrabble as a game in my sources for the entire project, but honestly other than that, everything is my original idea. When I put the project through plagiarism checkers like turn-it-in and Viper it turns up some things (<4%) that are just random excerpts from sentences. Should I find quotes and sources that fit in my project or is it okay to not have a bibliography if all ideas are original?
Last reply by Karan Maitra, -
Is this question even possible ?
by Guest SNJERIN- 3 replies
- 922 views
Hi. I have been trying to solve this question for a while now, but nothing seem to work. In fact, I have started to think that there is something wrong here. I get that z is pure imaginary only if |z| = 1. So please help me out here.
Last reply by maturk, -
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Hi everyone, I am currently in my first year of IB and I took HL because my teacher recommended HL course to me, looking at my grade and attitude in class during GCSE course. However, for all of my tests so far (Unit tests), I am failing to get the marks that I want. I got 60 % for my first test, but the marks dropped all the way to 50 % and 30 % for the next two. I have done my mid year exam recently and I don't think I did a great job on that as well because I could not do three big marker questions. I was really disappointed on how I did because this time, I did more revision, including past papers and revision questions that my teacher gave us. I am consideri…
Last reply by SYL, -
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Greetings, I know I am a little too late for this but I spent the last few weeks researching and looking for topics for my Exploration, and I eventually settled on "Finding the Surface Area of an Egg". I showed it to my teacher and he told me that he is unsure about the topic and is afraid that I might be accused of plagiarism because I got the equation I am planning to use from here: http://math.stackexchange.com/questions/407310/how-can-i-find-the-surface-area-of-a-normal-chicken-egg. I will be obviously using my own egg and my own readings. I will also show my own workout and elaborate as much as I can. Now I am asking you if what I am doing is fine and my if explo…
Last reply by faisal, -
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I have my mock paper 2 for maths tomorrow (and i know the paper we are going to be tested on is from M14TZ1 lol). I looked at some past papers and GDC seemed really useful to calculate sums. So to save time can I skip expanding some of the first numbers of a series and type everything in the calculator straight away? Do i need to mention that "I used GDC" to get a (M1) point?
Last reply by Tsepiso, -
- 2 replies
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In the IB Mathematics HL papers, must one give exact answers in questions where it is not specifically stated to do so? For example, is sqrt(2) - sqrt(3)i the same as 1.414 - 1.732i?
Last reply by Thrashmaster, -
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- 538 views
I'm doing my Math IA on Ramsey Theory. How do I do the applications part, what can Ramsey Theory be applied to?
Last reply by albertjin, -
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How can I take this topic further? I'm confused at which direction I can take on it. I'm considering applying the birthday attack, but I'm not sure how I can make it work.
Last reply by immakilla, -
- 1 reply
- 826 views
PROBLEM SOLVED.
Last reply by Thrashmaster, -
Maths question ---- Unit circle.
by Guest- 3 replies
- 601 views
A question. If s = 2 sin( pi * t ) + sin (2 * pi * t ), t is bigger or equals to 0. When is the period of the function s? and why?
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Guys, How do I find the integral of (secx - tanx)^2 ?????
Last reply by Yuki Kuran, -
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Hello! I'm having a bit of a problem with solving this integral by hand. Can someone help me solve it? I tried using substitution, but I can't get rid of the arctan(x/25). Thanks!
Last reply by TheLonelyDog, -
Help With Complex numbers!
by Guest SNJERIN- 2 replies
- 702 views
Hi. I usually don't get stuck with complex numbers problems but this one is special, at least in my case. So I would appreciate it if you can help me get started.
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Hi there, I really need some help on developing my IA. I'm currently investigating flexagons but I cannot proceed beyond investigating its physical properties (finding hidden faces and how to get them). The thing is, I don't know what calculations I can do in my investigation. I was thinking that maybe it can be connected to some problem out of the geometry field but I don't know what. So far, it looks like having mostly research on paper. rather than an investigation. Any ideas? Please help, thanks.
Last reply by asdfghjho, -
- 2 replies
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Guys, I need a little help in this question, The curve y=f(x) that passes through the origin. Given the f '(x)= 3x^2-8x-5. Find the coordinates of the other points where the curve crosses the x-axis. Could you help, cause im completely off ideas on this one
Last reply by Hrishi98, -
- 2 replies
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Hey guys I was doing a question on the calculus option on power series and I'm stuck on this question. I got part (a), but I'm not able to reach the conclusion in part (b). Any help would be appreciated Thanks!
Last reply by Ossih, -
- 6 replies
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Hi, I am currently in term 2 of IB year 1. I am doing pretty well in all my subjects scoring 6's and 7's. However there is HL Maths which I am struggling in A LOT. My school had early entry GCSE's offers, so I had finished my maths GCSE's last year in January - 6 months earlier than the usual lot. I scored a 95% and got an A*. Before finalising my IB choices, I went on a college major hunt and juggled between 1. Computer Science and 2.Biochemistry. I am interested in going into medical field but with a technological approach. Hence I am still not sure which would be the ideal major especially in terms of the job market. To make sure that I have my options open, I …
Last reply by SYL, -
- 0 replies
- 941 views
I have to choose the topic for my Math HL IA eventually and I struggle with making up my mind about it. I love Ecoonomics and I'd really like to do something related in my Math IA but I feel that each mathematical concept we learn at Econ (elasticity, equilibrium point etc) is too easy for Math HL. Do you have any suggestions for a topic that is "hard enough", please?
Last reply by nina101, -
- 3 replies
- 1.9k views
I came across a bit of a strange question on my mock exam today and many people got different answers, so I wanted to see some input on it. I have written the question by memory, so the wording is not entirely exact. Any help is greatly appreciated. The velocity of a particle is v = -1/s2, where s is the distance in metres from a fixed point "O". Find the acceleration when the distance from the fixed point is 50 cm.
Last reply by Ossih, -
- 2 replies
- 1.3k views
(b) The function f is defined by f (x) = x2 + 4 cos x for 0 < x < π. (i) By considering the graphs of y = x and y = 2 sin x, show that f (x) has only one stationary point, and explain why this stationary point is between pi/2 and π. (ii) Find f ″(x) and hence prove that the stationary point is a minimum. (iii) Find the coordinates of the point of inflection on the graph of y = f (x). (iv) Sketch the graph of y = f (x), clearly labelling the stationary point and the point of inflection. I have found the answer, but im not sure whether its right.
Last reply by Hrishi98, -
How hard is HL Math?
by Guest systmtprntln- 1 reply
- 836 views
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Last reply by Djsporting, -
Maths calculator tips?
by Guest- 6 replies
- 1.1k views
Hey there, i will be having my maths HL mock exam tmr . I am so worried cause i have no clue how to use my calculator. Is there any website that has the instruction of using the Ti 83 calculator ? Specifically for the IB? Thank you.
Last reply by Thrashmaster, -
- 3 replies
- 1.1k views
So, for last 2 months I've tried to prepare for HL math. I've done mainly algebra. Is there something particular I should take look at before next year and HL math
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Is "curves in space" good topic for IA?
Last reply by weheartit, -
BINOMIAL ! CHALLENGING !
by Guest- 3 replies
- 762 views
Hi , and here is the question. Find the independent term in the following expansion - ( 2x + 1 - 1/2x^2 )^6 and the answer is -59 but i have absolutely no clue how to get that answer. please help.....
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- 3 replies
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Could anyone in Math HL/SL explain to me in brief, how to identify domain and range of a particular equation. Any good method to easily identify them Example:- f(x)= 1/x+2/x+1
Last reply by ctrls, -
- 3 replies
- 1.5k views
I'm starting the IB soon and I want to get a head start (with HL maths at least) by learning some of the content before hand. Ive got the 3rd Edition of Haese & Harris, but judging from what's been said on other threads it's not up to par. Does anyone have the Oxford Book as a PDF, if so PM me. Thanks in advance. PS: If anyone wants a textbook from me I have: Haese & Harris 3rd Edition (Core), Sets, relations and groups option (H&H), and an older Cambridge book.
Last reply by Hrishi98, -
- 1 reply
- 656 views
Hello! I was just wondering if anyone knows where I can find/ has any of the the papers from may 2014 for revision for mathematics HL?
Last reply by Emmi, -
- 1 reply
- 1.7k views
Soo here is the question: A girl chooses 2 letters at random from these 7: A, D, E, K, O,Q, S. What is the probability that one is a vowel and the other is the letter D? I tried writing all the combinations, and then said that there are 7 which have both D and a vowel, out of possible 42, which gives 1/6, but this is not in agreement with the given solution (1/14). Any help will be much appreciated, thanks in advance.
Last reply by mechnight,
