You're making so much content lately, on all levels. I'm not taking exams but I've been teaching myself calculus in my spare time for a while now, mostly from watching your videos, this recent surge in content is doing my progress the world of good. Thank you.
We use this in Sweden for intervals as well. However, it never crossed my mind that other countries might not use brackets that way, or that some countries don't use brackets for anything but intervals. Do you mean you use it exclusively for intervals, like do you use something else when for instance integrating in France?
For question 4, you can argue that the right endpoint 8 doesn’t need to be checked. Since f is continuous and for values to the left of x=8 f’>0, so f is increasing up to f(8) so f(8) is larger than the values immediately before it so it can’t be a minimum.
In general, yes. Velocity can decrease to zero without a change in direction. Case and point, a stop sign. Mathematically, this would be like the inflection point in y=x^3, where you have a stationary point without a local minimum or maximum. For this example, since the given function is a sine function of time, this tells us that all stationary points are local min/max points as well, that come as a package deal with a change in direction.
find the complex values of x , y , z and A which satisfy the below equation by fulfilling the all condition or hints. x^2 + y^2 + z^2 = 2*A where x = y-1 ; y = z-1 ; z = x-1 and x + y+ z = 3/2=1.5
@@FamilyVibesYT The problem is impossible with your conditions, since if you sum the equations x = y-1 ; y = z-1 ; z = x-1, you get that x+y+z = x+y+z-3 or 0 = 3.
23:53 there’s no need to find the velocity at t=60 since you already know it’s gonna be negative because you found that Stephen changes direction at t=56 seconds
You are allowed to use a graphing calculator to find the derivative at a point and to integrate on calculator allowed questions, and you are not required to simplify answers as long as they are comprised of numbers
On the calculator questions, you can find numerical values of definite integrals, numerical values of a derivative at a certain point, or solutions to an equation, all with a calculator without showing any work as long as you write the set up on the paper (write what integral or what derivative you’re doing, but no need to write any chain rules or anything like that). I’d say it’s not only allowed but encouraged and expected. The point of the question is really that they’re testing your interpretation of what the derivative or integral means, not just how to take it by hand - they have other questions for that.
This is great! Would it be possible for you to go over last year's AP Calculus BC FRQ questions? I took the BC exam last year and would be interested to revisit the questions.
Great video, I was wondering whether parts always assumes u and v’ to be the same, as if you had to switch which variable was u and v’ then the DI method would not work😅
I have no idea why you on a white board is my favorite form of learning math. Chalk board even better but I understand having the question in plain view is preferable which these long questions! 😊
@@blackpenredpen oh wow! Yeah totally! My diff eq professor would use the projector to display the problem from power point and then since the background is the white board solve the problem! Ofc there was a clicker to go to the next slide 🛝. I once did a final exam by oral exam where my linear algebra professor would ask me questions and hand me the chalk and I would go to the chalk board and explain the whole process 🥰 life changing experience and my first “A” in a math class in college 🤘🏼I have a weird obsession with black boards since then 🤭
if v is + and a is -, it is slowing down. if v is + and a is +, it is speeding up if v is - and a is -, it is speeding up if v is - and a is +, it is slowing down. Just check if the acceleration is in the same direction of the velocity to see if it's speeding up.
If only I had calculus questions like these in high school... Not focusing on mechanisation and memorization of formulas and rules, but actually thinking
The funny thing is I often catch myself looking at the videos involving college level math tournaments or really weird looking math problems out of curiosity instead of doing homework for calc AB lol. Thank you for the practice.
Hi man, I need your help with this trig equation. I can't seem to be able to solve it every time i think im close to a solution, the equation strays further from a possible solution. Please help! This is the equation: 3sin(x) + 4cos(x) = 5sin(x)cos(x).
@@blackpenredpen And sir, in 56:45, why we need to integrate like that? I'm wondering if I met the same situation, can I use the same way like you did? Thank you for your help!
AP means advance placement. AP courses are courses with exams made by College Board. Said exams can allow you to skip certain courses in most colleges. College Board used to split Calculus between A, B, and C, each just being a different level of Calculus. But they changed to just have AB (so stuff from the A course and B course) and BC (stuff from the B course and C course)
@@tuliptuliptuliptuliptulipt6533 A used to stand for Precalculus, B for Calc 1 and C for Calc 2. Now (for over 20 years) there are no Precalculus questions unless you count some limit and continuity stuff, so it’s really more like B and BC. The BC exam has all the same content as AB as ‘fair game’ on the test plus a few more chapters on top. The AB exam covers a little more than what most colleges cover in Calc 1 and the BC exam covers a little less than college Calc 2.
Get started with a 30-day free trial on Brilliant: 👉brilliant.org/blackpenredpen/ ( 20% off with this link!)
Another 1 hour+ calculus marathon with blackpenredpen lets go 🤩
Yippee!!! Sharpen your pencils!!!
You're making so much content lately, on all levels. I'm not taking exams but I've been teaching myself calculus in my spare time for a while now, mostly from watching your videos, this recent surge in content is doing my progress the world of good. Thank you.
Thank you!
In France, we use only brackets for intervals : [a,b], ]a,b[, ]a,b], [a,b[, the orientation gives the inclusion or exclusion.
so if i understood this right, ]a,b] means a is excluded and b is included?
@@JashXD exactly
we use this in Germany aswell
We use this in Sweden for intervals as well. However, it never crossed my mind that other countries might not use brackets that way, or that some countries don't use brackets for anything but intervals. Do you mean you use it exclusively for intervals, like do you use something else when for instance integrating in France?
For question 4, you can argue that the right endpoint 8 doesn’t need to be checked. Since f is continuous and for values to the left of x=8 f’>0, so f is increasing up to f(8) so f(8) is larger than the values immediately before it so it can’t be a minimum.
Thank you please do the same for BC people like me too!
I was just gonna ask
At 1:17:17, you turned the y into an x in your equation for 6a. This video is really helpful thanks!
6y you turned into 6x, 😄
I saw that too I thought I was going a little crazy
Awesome video! Next video 2023 AP calc BC FRQ’s please 😊
Hey man, been watching u for years. Love you and your content :)
Thank you!
At 19:25 im 99% sure you need a sign chart just because his velocity decreases to 0 doesn't nessecarily mean it must mean a direction change afaik
In general, yes. Velocity can decrease to zero without a change in direction. Case and point, a stop sign. Mathematically, this would be like the inflection point in y=x^3, where you have a stationary point without a local minimum or maximum.
For this example, since the given function is a sine function of time, this tells us that all stationary points are local min/max points as well, that come as a package deal with a change in direction.
My guy is always there for me!
I took the BC exam last year! nice to see some familiar questions since AB and BC share questions and are taken at the same time (and yes, I got a 5).
Well done!!
find the complex values of x , y , z and A which satisfy the below equation by fulfilling the all condition or hints.
x^2 + y^2 + z^2 = 2*A
where x = y-1 ; y = z-1 ; z = x-1 and x + y+ z = 3/2=1.5
sir plss answer i am big fans
@@FamilyVibesYT The problem is impossible with your conditions, since if you sum the equations x = y-1 ; y = z-1 ; z = x-1, you get that x+y+z = x+y+z-3 or 0 = 3.
YAY! Hour long video. I'll spend days watching you do math! thank you
at 1:17:01 u put 6x instead of 6y
why did we applied that formula at 1/c/ isint it mention rate? so why we did not use f(b)-f(a)/b-a
23:53 there’s no need to find the velocity at t=60 since you already know it’s gonna be negative because you found that Stephen changes direction at t=56 seconds
Just in time! Preparing for the exam in a few weeks, Tysm!
Good luck!!
You are allowed to use a graphing calculator to find the derivative at a point and to integrate on calculator allowed questions, and you are not required to simplify answers as long as they are comprised of numbers
On the calculator questions, you can find numerical values of definite integrals, numerical values of a derivative at a certain point, or solutions to an equation, all with a calculator without showing any work as long as you write the set up on the paper (write what integral or what derivative you’re doing, but no need to write any chain rules or anything like that). I’d say it’s not only allowed but encouraged and expected. The point of the question is really that they’re testing your interpretation of what the derivative or integral means, not just how to take it by hand - they have other questions for that.
It’s funny I remember doing these questions when I took the ap test. Great video good luck to everyone on the ap test ❤
This is great! Would it be possible for you to go over last year's AP Calculus BC FRQ questions? I took the BC exam last year and would be interested to revisit the questions.
I’d love to see you do the BC test I took that and I’d love to know how it is done
In FRQ, we can use calculator to solve for answer. Only in MCQ, there is calculator and non calculator session.
No, for the first part of frq which consists of 2 questions calculators are allowed, but the last four questions are no calculator questions
Great video, I was wondering whether parts always assumes u and v’ to be the same, as if you had to switch which variable was u and v’ then the DI method would not work😅
I have no idea why you on a white board is my favorite form of learning math. Chalk board even better but I understand having the question in plain view is preferable which these long questions! 😊
Thanks! Yea, there were too many word questions so I thought iPad would be the best : )
@@blackpenredpen oh wow! Yeah totally! My diff eq professor would use the projector to display the problem from power point and then since the background is the white board solve the problem! Ofc there was a clicker to go to the next slide 🛝. I once did a final exam by oral exam where my linear algebra professor would ask me questions and hand me the chalk and I would go to the chalk board and explain the whole process 🥰 life changing experience and my first “A” in a math class in college 🤘🏼I have a weird obsession with black boards since then 🤭
I have a question for the AP Calculus BC test. Can you use the D I method on the AP test or would they mark you off? Thanks!
Hello!
I’m a high school student from Taiwan, and I’m going to take Calc BC exam in May. Can you do a past Calc BC FRQ as well? Thanks🙏🏻
24:00 little confused about this part. What if v(t) and a(t) have different signs?
if v is + and a is -, it is slowing down.
if v is + and a is +, it is speeding up
if v is - and a is -, it is speeding up
if v is - and a is +, it is slowing down.
Just check if the acceleration is in the same direction of the velocity to see if it's speeding up.
@@redpug5042 tysm
can you please make more FRQs from ap calc ab exams? I have the test next monday
If only I had calculus questions like these in high school... Not focusing on mechanisation and memorization of formulas and rules, but actually thinking
Do you ever do some partial DE'S?
Please Can you do a video of 50 or 100 limit of two variables function please i have an exam next week
The funny thing is I often catch myself looking at the videos involving college level math tournaments or really weird looking math problems out of curiosity instead of doing homework for calc AB lol. Thank you for the practice.
It's crazy that ive learned calculus from you! Im only 11
can you try hkdse maths extended part module 2
@ 27:11 shouldn’t we split the integral from 0 to 56 the from 56 to 90 and the absolute values to together
Remember taking this. Thankful I got a 5
Bro I’ve been waiting for bprp to make AP Calc content for SOOO long
You should check out the Math exam in the Greek Panhellenic Exams some time
First
(Right after bprp)
Bprp was the one who is first ^^
@glitch933 fair enough
First
Yo this was the one I did last year
Hi man, I need your help with this trig equation. I can't seem to be able to solve it every time i think im close to a solution, the equation strays further from a possible solution. Please help!
This is the equation:
3sin(x) + 4cos(x) = 5sin(x)cos(x).
Hello everyone, I have one question, what is (x^y)' equals?
Please sir integrate [2+(x)^½]/[x+(x)^½+1]^2 dx , i don't know how to integrate it 😱
Can you do the IB calculus exam next ❤️❤️and please say hi to dr peyam from Amir.
Never heard of this exam, is it world wide or just the US? I'd love to try it!
Its a high school level calculus test in US
@@munshatmuhtadee2013 hmmmm, thanks
Can anyone help me with this integral I can't solve it. Integral of lnx/x
dy/dx=-fx/fy
I would like to know whether the problems are the real 2023 AB test problems last year?
Link in description
@@blackpenredpen And sir, in 56:45, why we need to integrate like that? I'm wondering if I met the same situation, can I use the same way like you did? Thank you for your help!
How do I activate the 30-day free trial on Brilliant? It only says 20% discount on 1 year subscription, lol
Anyone know how to solve 12.8(x+2^x)=x^x
PLEASE DO THE AP CALC BC EXAM NEXT
Ham India se roj dekhte hai aapka class
Do for bc!!
Calculus 1 5h
This is a very scary video 😱
😭
AP PRECALC PLEASE
What is AP and AB means?
AP = advanced placement. Not sure about AB.
AP means advance placement. AP courses are courses with exams made by College Board. Said exams can allow you to skip certain courses in most colleges.
College Board used to split Calculus between A, B, and C, each just being a different level of Calculus. But they changed to just have AB (so stuff from the A course and B course) and BC (stuff from the B course and C course)
@@tuliptuliptuliptuliptulipt6533 A used to stand for Precalculus, B for Calc 1 and C for Calc 2. Now (for over 20 years) there are no Precalculus questions unless you count some limit and continuity stuff, so it’s really more like B and BC. The BC exam has all the same content as AB as ‘fair game’ on the test plus a few more chapters on top. The AB exam covers a little more than what most colleges cover in Calc 1 and the BC exam covers a little less than college Calc 2.
well… bc student here😢
First
Noice
Jesus is coming back ❤
Doesn't exist sorry.
Allah loves you ❤❤❤
@@xylylkakasguy2357 Doesn't exist.
Calculus is too ez and babyish; geometry is the real hard math.