1.3D - Rates of Change [AP Precalculus]
16:35
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@9791Mars
@9791Mars 2 күн бұрын
Thank you so much ❤
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 күн бұрын
@@9791Mars You are super welcome! 😊
@natyen2042
@natyen2042 8 күн бұрын
how does this not have more views?
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 8 күн бұрын
@@natyen2042 Please spread the word. 🙏
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 8 күн бұрын
@@natyen2042 There’s a lot more where that came from 😎: kzfaq.infoplaylists?view=50&sort=dd&shelf_id=1&view_as=subscriber
@dammitZeva
@dammitZeva 10 күн бұрын
Very useful. Thanks!
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 10 күн бұрын
@@dammitZeva Yay! So glad I could help. 😊
@user-qc5bo6zq4k
@user-qc5bo6zq4k 13 күн бұрын
You saved my butt in 2024 thank you so much
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 12 күн бұрын
@@user-qc5bo6zq4k I’m so glad I was able to help! I appreciate your feedback. 😎
@redangrybird7564
@redangrybird7564 20 күн бұрын
Thank you Mr. Helpful, good one 😎👍
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 20 күн бұрын
I really appreciate the love. 😁
@redangrybird7564
@redangrybird7564 20 күн бұрын
@@MrHelpfulNotHurtful your channel is one of the best explaining maths, take care.
@vameenapenagaluru1570
@vameenapenagaluru1570 Ай бұрын
howeva
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
😂
@ranarabbani8584
@ranarabbani8584 Ай бұрын
Hi, your video has shown me as a teacher how can teach this in differentiating the lesson. I wanted to know if you have a pdf for this available so I can use the same example with my students. Thanks a million.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
Sharing files is a service that I offer to my Patreon subscribers. patreon.com/MrHelpfulNotHurtful Join with a $5 donation and then request the file. I will post the file for you on Patreon so you can download it.
@barryzions264
@barryzions264 Ай бұрын
I believe that there is a mistake on Example 9. Since f is defined on [-4, 4], choice A is not in the domain. I believe that the answer should be B.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
Thanks!
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
Just looked it up. The College Board said the answer is A. They say that even though the domain of f(x) is [-4,4], the domain of the composite function f(g(x)) is [-7,1].
@barryzions264
@barryzions264 Ай бұрын
@@MrHelpfulNotHurtful First off, I love the way that you explain these to the kids, and I have your site(s) as a resource for my students. I just like to check all the resources that I give them to avoid confusion. Look at the order of the solutions. I have answer A, but your answers are in a different order. I also checked with college board (2.7. Question #4 and with another teacher in my district) and they both said that the domain is [-4, 1] Given f(g(x)): 1. Find the domain of g. 2. Find the domain of f. 3. Find those inputs, x, in the domain of g for which g(x) is in the domain of f. That is, exclude those inputs, x, from the domain of g for which g(x) is not in the domain of f. The resulting set is the domain of f(g).
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
@@barryzions264 I’m so glad you are finding my videos helpful! I make them for my students but I always hope others will use them too. Go to AP Classroom and select the Course Guide. Then select Unit 2. Then scroll down to 2.7 Composition of Functions and expand that. Below the daily videos there are six MCQs. The question we are discussing is the fourth one (Composition - graphical). Open that one. Now click on the arrow on the right side of the screen that says question scoring details to expand the solution window. Answer A (same order as my video) will highlighted green with a check mark indicating A is correct. Scroll down to the bottom of the screen. It says “Answer A. Correct. This is the result of translating f 3 units left. Although the domain restriction of f is [-4,4], the domain restriction of f(g(x)) is [-7,1] because the composition is a horizontal translation of f.” Let me know if you are seeing something different when you pull it up. 🤔
@christopherramsey6001
@christopherramsey6001 Ай бұрын
Very clear explanation ! Thank You.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
I appreciate your feedback. 😊
@andrewwitherington._
@andrewwitherington._ Ай бұрын
Have a great summer Mr.Burton!
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
Thanks Andrew. I miss you already! 😭
@AsitSarkar-lj2yg
@AsitSarkar-lj2yg Ай бұрын
Thank you sir
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
You are super welcome! 😊
@yomna5272
@yomna5272 Ай бұрын
Thankuthankuthanku 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
So glad I could help! 😄
@gamerl6664
@gamerl6664 Ай бұрын
Super helpful.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful Ай бұрын
Yay!!!! 😄
@emilene3110
@emilene3110 2 ай бұрын
Most helpful video ever!
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Yay! I appreciate your feedback. 😀
@callmeneutrino7136
@callmeneutrino7136 2 ай бұрын
Excellent explanation! Top notch! Chef’s kiss
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
🥰❤️
@AsherBlair-bo3fk
@AsherBlair-bo3fk 2 ай бұрын
tysm i was studying for a final and couldn't understand what the teacher was saying
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
You are super welcome. Glad I could help. 😊
@user-hy8mg8zp9w
@user-hy8mg8zp9w 2 ай бұрын
On the 10th question couldn't we just multiply the percentage of the people who buy a donut and the percentage of people who buy coffee
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Multiplying the two percentages will only give you the correct probability of two events happening when those two events are independent. We cannot assume these events are independent. The mention of a percentage of people who get a coffee or a donut basically tells you that’s these events are not independent and you must use the formula I used instead.
@user-hy8mg8zp9w
@user-hy8mg8zp9w 2 ай бұрын
​@@MrHelpfulNotHurtful Yes I found out by watching your other videos, thank you
@ZombieSlayer_822
@ZombieSlayer_822 2 ай бұрын
preciate' the help mistuh
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
You are super welcome!😃
@Loaded1158
@Loaded1158 2 ай бұрын
Thank you brotha
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Always glad to help. 😎
@pyaepyae1411
@pyaepyae1411 2 ай бұрын
Thanks❤ I know clearly ❤
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
You are quite welcome. 😊
@stevenmathews7621
@stevenmathews7621 2 ай бұрын
Make gates, when there's curve on the top of the gates, need to give the steel bending joint the radius Simplified for quick use at work... If AB/2 = x, and perp bisector = y, then r = (x² + y²) / 2y
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Wow Thanks!!
@alysalimas7401
@alysalimas7401 2 ай бұрын
what if the long leg is 8
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
It will work the same as when the long leg is 18 as in the video. Follow the steps in the video replacing 18 with 8. The short leg will be 8/rad3 and the hypotenuse will be 16/rad3.
@Lungi-hi6im
@Lungi-hi6im 2 ай бұрын
Thank you soooo much for this.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
You are super welcome. 😊
@Kjoripisitrogognapry
@Kjoripisitrogognapry 2 ай бұрын
素晴らしいです。日本から感謝です。
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
🙏
@curiousmax13
@curiousmax13 2 ай бұрын
Thank you!!!!!! I have exams tomorrow and I finally get it
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Yay! I hope you did well. 😊
@maomao484
@maomao484 2 ай бұрын
👌💕
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
🙏
@prestonswenson3377
@prestonswenson3377 2 ай бұрын
Thanks Mordecai
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
You are very welcome 😊
@kberkman
@kberkman 2 ай бұрын
How do you actually solve for percentage without using the chart. You gave the formula for z-score... I know there has to be something I am missing here
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
If you are asking how you find the percentage without using the z-score table, you can’t. The table is the only way to turn a z-score into a percentage.
@kberkman
@kberkman 2 ай бұрын
@MrHelpfulNotHurtful so we figured out how to solve it using a calc... but I imagine to get the tables you have to use a formula. I just want to be able to figure out how it's done (like with z-score u can use a table too but there is a method to the madness)
@crazylionezz8539
@crazylionezz8539 2 ай бұрын
I was seriously struggling with this, this is the first video I could actually understand thank you so much 😭
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Yay! I’m so glad I could help out. 😊
@raneemramadeen753
@raneemramadeen753 2 ай бұрын
Saved me the night before my AP exam!!!
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Yay!! Good luck! 🍀
@dyae_974
@dyae_974 2 ай бұрын
ur literally the goat
@trollmastergaming678
@trollmastergaming678 2 ай бұрын
aint no way 😆
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
😂 Thank you!
@user-ft7gv1ju9d
@user-ft7gv1ju9d 2 ай бұрын
could you kindly provide your e-mail or telegram account, I have few doubts in transformations
@HanaaChahbar
@HanaaChahbar 2 ай бұрын
continous ... thank you ...
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
You are very welcome! 😊
@vincentharoldagutaya1772
@vincentharoldagutaya1772 2 ай бұрын
This gonna help me pass the exam
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Yay! Good luck 🍀!
@TMerica199
@TMerica199 2 ай бұрын
What playlist is this?
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
kzfaq.info/sun/PLUq8yM4tK_aUZxlKwB6EZzcXRd4J2dcfm&si=aKunTW_PMlfU9Zje
@TMerica199
@TMerica199 2 ай бұрын
@@MrHelpfulNotHurtful thank you!!
@ganiyattaiwo
@ganiyattaiwo 2 ай бұрын
See that of example 3 I got 25.4
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
Did you type the exact same expression into your calculator or did you get a different expression?
@ganiyattaiwo
@ganiyattaiwo 2 ай бұрын
@@MrHelpfulNotHurtful yes I type the same example in my cal and get different answer
@ganiyattaiwo
@ganiyattaiwo 2 ай бұрын
In example 2 I got 75° not 101
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 2 ай бұрын
What’s the time stamp? I looked at example 2 and the answer was 105 degrees. In order to help you I need to know what you did differently than I did. Did you type the exact same expression in your calculator? Is your calculator in degree mode?
@ganiyattaiwo
@ganiyattaiwo 2 ай бұрын
@@MrHelpfulNotHurtful sorry I think I have gotten it. Thanks
@Hitchiez
@Hitchiez 3 ай бұрын
But what if you don't have the arc length?? I literally only have the angle
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
That’s not enough information to determine the arc length. You could have a small circle with a 30° angle and then you could have a big circle with a 30° angle. The arc lengths would not be the same.
@jburns3210
@jburns3210 3 ай бұрын
Great explanation
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
I appreciate your feedback. 😊
@Listen.I-speak
@Listen.I-speak 3 ай бұрын
Too much babble
@user-mi1xq5lr1w
@user-mi1xq5lr1w 3 ай бұрын
2024 and I am happy❤
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
Yay!!!
@pixeldods
@pixeldods 3 ай бұрын
Okay so here's the thing, I was trying to do this myself but I always get the radius wrong. Seeing this video made me realise that I used πr instead of 2πr to represent circumference. Thank you for making this video, but my gosh am I stupid.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
Glad I could help. We all make silly mistakes my friend. 😎
@ItzK02
@ItzK02 3 ай бұрын
Is there a part two explaining how to do the rest?
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
Sorry. The maze sort of tells you if you got the right answer, but I didn’t make videos for the rest.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
This playlist has all the practice problems you could ever need. kzfaq.info/sun/PLUq8yM4tK_aXTSQda1MohDw6H3mSJT5rI&si=3O8KQRFH2ya9A74x
@aj.is.cool.
@aj.is.cool. 3 ай бұрын
Thank you this helped soo much, you have no idea 😅 🙏
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
I’m so glad I could help! 😊
@UCLAursinho
@UCLAursinho 3 ай бұрын
Thanks for the video but I suggest using the intersecting chords theorem where the second chord is the diameter (d) passing through P, M and O to the other side of the circle ( lets call it Q) The theorem basically says that the lengths of the chord segments for both chords on each side of the intersecting point when multiplied together are equal. So in your example: AM × MB = PM × MQ 5 ×5 = 3 × (d-3) 25=3d-9 34=3d 34/3=d=2r r=34/6=17/3 Same answer but less constuction and simpler algebra.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
That did not occur to me. That you so much. I’ll do it that way next time. 😎
@okee-wink5122
@okee-wink5122 3 ай бұрын
Super helpful! Very clear and understandable explanations, thank you so much!!!
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
So glad I could help. I appreciate your feedback! 😊
@sudheerbright
@sudheerbright 3 ай бұрын
Thanks a lot.
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
You are very welcome!
@bethstamm
@bethstamm 3 ай бұрын
🌈 'PromoSM'
@fabianherrera7736
@fabianherrera7736 3 ай бұрын
james cabro
@goldenerattigan397
@goldenerattigan397 3 ай бұрын
Hi how can I connect with you easily and directly re tutoring?
@MrHelpfulNotHurtful
@MrHelpfulNotHurtful 3 ай бұрын
Send me an email at [email protected] and we can work it out from there.