Thank you so much! Extremely helpful. For Q90, if anyone wants a faster way of doing it, take the polar area integral of the circle from 0 to 2π and subtract it from the polar area integral with bounds of 0 to π for 2cos(3x).
Late but this guy is incredible! Turned my calculus year around later on with his frq and multiple choice practice, it was a huge help on the exam! Many thanks!
Yes, the curriculum has not changed much at all. The original AP exams (1960's) up until the early 90's have topics they no longer cover (epsilon-delta limits, Simpson's Method, trig substitution integrals, etc.)
This test was trick! Do your best to study a bit more, sleep, then show up and put your best math on the paper. No matter the outcome, you are leveling up as a student! There is still plenty more work to do in college!
This helps us to find the bounds of one petal because that is where the petal passes through theta=0, which we then multiply by 3 to get the whole rose curve’s area.
These are so helpful!!! Thanks a lot for doing them! Could you please do a lot of practice FRQs for Calc as well? They're pretty tricky and it would be great to see your thought process! Thanks again!
I am glad the videos are helpful! I am building up my frq content little by little. I completed the entire 2019 BC FRQ section and will definitely be making my way through the earlier years. Thanks for watching and good luck on your AP test!
Yes, if you know the first derivative is increasing on some open interval, then f(x) is concave up on that interval, always. Yes to your second point, option B is no good because the function for f(x) is concave down on the entire given interval.
My best script capital B was in fifth grade, my script has gone downhill ever since. I wanted to leave school that day because I knew that I would never recreate that capital B. This comment gives me hope, thanks! Also, good luck on your AP Calc exam!
@@vinteachesmath i had the same experience in calc class when drawing a perfect integral symbol off pure luck, ive tried my best to recreate it but i can never draw another one that perfectly
For question 91 i just used trace from the calculator to trace the curve until it reached 3.14 to determine theta. And then integrated the polar curve from 0 to pi and subtracted from the area of the circle.
Thank you so much, this has been really helpful! I just have a quick question about 82, why do we have to use that formula? Why can't we use f(b)-f(a)/b-a. Thank you so much!
Good question! We would use your formula if they asked for the average rate of change. Average value or average function value uses the formula I wrote for 82.
Thank you so much for doing these videos. I used these as review for my BC exam, and, thanks to you, I think I did very well
I'm so glad your test went well! Thanks for supporting the channel.
I passed my calculus using your videos, CLEP calculus study guide, CLEP calculus books and online test. Thanks for the videos
I am happy to help! I am very impressed with the work you put in and congrats on passing calculus.
@@vinteachesmath
Thank you. I appreciate.
Thank you so much, I'm preparing for BC these days, THAT WAS VERY HELPFUL !!!
Glad it was helpful! I hope your BC test goes well in May!
Thank you so much! Extremely helpful.
For Q90, if anyone wants a faster way of doing it, take the polar area integral of the circle from 0 to 2π and subtract it from the polar area integral with bounds of 0 to π for 2cos(3x).
Thanks for sharing!
Is there a reason that the period of 2cos(3x) is only pi?
Late but this guy is incredible! Turned my calculus year around later on with his frq and multiple choice practice, it was a huge help on the exam! Many thanks!
I am happy to hear that this helped for the AP exam! Best wishes with this upcoming school year!
Is the 2012 exam still comparable to more recent exams?
Yes, the curriculum has not changed much at all. The original AP exams (1960's) up until the early 90's have topics they no longer cover (epsilon-delta limits, Simpson's Method, trig substitution integrals, etc.)
Thank you for making this vid it really helped a lot!!
Glad it helped!
Please tell me this exam is harder than usual😭 struggled
This test was trick! Do your best to study a bit more, sleep, then show up and put your best math on the paper. No matter the outcome, you are leveling up as a student! There is still plenty more work to do in college!
Can you please clarify why did you put r=2cos(3theta) = 0 in order the find the limit of the integral on number 91? Thank you
This helps us to find the bounds of one petal because that is where the petal passes through theta=0, which we then multiply by 3 to get the whole rose curve’s area.
These are so helpful!!! Thanks a lot for doing them! Could you please do a lot of practice FRQs for Calc as well? They're pretty tricky and it would be great to see your thought process! Thanks again!
I am glad the videos are helpful! I am building up my frq content little by little. I completed the entire 2019 BC FRQ section and will definitely be making my way through the earlier years. Thanks for watching and good luck on your AP test!
@@bradleyjax452 shut up
@Bradley Jax definitely, I've been watching on flixzone} for since november myself :D
@Bradley Jax Definitely, have been using Flixzone} for years myself :D
@@cannongregory6311 aaaand the scripted replies too
For 88 will the double derivative always be concave up if the first derivative is increasing? For example option b is increasing for x
Yes, if you know the first derivative is increasing on some open interval, then f(x) is concave up on that interval, always.
Yes to your second point, option B is no good because the function for f(x) is concave down on the entire given interval.
I appreciate this so much
I hope your test goes well!
Where did you get the 2012 bc exam?
Google "2012 bc exam pdf", this exam was released by college board!
absolute godsend
Hope your AP test goes well!
40:22 dude that was the most perfect check mark
My best script capital B was in fifth grade, my script has gone downhill ever since. I wanted to leave school that day because I knew that I would never recreate that capital B. This comment gives me hope, thanks! Also, good luck on your AP Calc exam!
@@vinteachesmath i had the same experience in calc class when drawing a perfect integral symbol off pure luck, ive tried my best to recreate it but i can never draw another one that perfectly
For question 91 i just used trace from the calculator to trace the curve until it reached 3.14 to determine theta. And then integrated the polar curve from 0 to pi and subtracted from the area of the circle.
Thank you so much, this has been really helpful!
I just have a quick question about 82, why do we have to use that formula? Why can't we use f(b)-f(a)/b-a.
Thank you so much!
For average value, you use the formula that he showed. The formula you are referencing is the average rate of change. Hope that helps :)
Good question! We would use your formula if they asked for the average rate of change.
Average value or average function value uses the formula I wrote for 82.
thanks
You're welcome! I hope the test was okay!
@@vinteachesmath it went pretty well! hopefully predicting a 4-5. this was a helpful night-before review
Just took it. It was rlly weird to me atleast
I hope you did well! Either way, studying and taking that test is great experience for college.
lol gonna forget how to dis once im 20
I would forget it too if I didn't do this for a living!