AP Calculus AB 2008 Multiple Choice (Calculator) - Questions 76-92
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- Опубликовано: 16 июл 2024
- This video focuses on the 2008 AP Calculus AB 2008 Calculator section. I show viewers how to use the TI Calculator in an efficient way to shorten techniques such as derivatives and integration.
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Just wanted to say thank you for this video. Your explanations are very straightforward and clear.
Glad it was helpful! I want these videos to get right to the point! Best wishes for your AP test!
Thank you so much for your videos. I am currently studying for the 2021 AP Calculus AB exam and these are good refreshers, especially for someone like me who gets anxiety for tests a few weeks in advance. :)
Do your best to prepare, and the rest is up to fate! The preparation is more valuable than the grade you will get on the AP test. No matter score you get, you will be a better version of yourself if you give it your all.
I am speaking from the POV of someone that has done very well and very poorly on exams.
I wish you the best with the rest of the school year and the AP test!
@@vinteachesmath well said
I’m also taking the ap cal ab this year. Good luck!
Hi Vincent, thank you for making this video.
My pleasure! Best wishes with your AP test!
i know Im pretty off topic but do anyone know a good place to watch newly released series online?
@Francis Cohen i watch on flixzone. Just search on google for it :)
@Kristopher Alexis yea, have been using FlixZone for since april myself :)
@Kristopher Alexis Thanks, signed up and it seems like a nice service =) Appreciate it !!
This really helped me! amazing explanations ... Taking the exam this May :)
Good luck on the AP test! The key is to practice until you are sick of practicing! Also, make sure that you are able to explain the various theorems because there are a lot of concept based questions.
thank you so much!
I have my exam Monday and you are helping so much
Hope the test went well!
Thank you for this video. Who is getting ready for 2022 AP Calc Exam?
meee, 6 hours before haha
@@shreenivedithajayakumar And tomorrow I got AP exam
I just love you so much man
I am happy to help! Good luck with AP calc!
this is so helpful omg
I appreciate you supporting the channel! How was the test?
you make everything so easy to understand. thank you!
Happy to hear that! I try to get right to the point and make it clear to understand! Hope your AP test went well.
Thank you so much!
You're welcome!
Thank you
Welcome!
these are so helpful!! tysm. do u think u can post more of the past mc’s?
I am finishing up the 2019 BC exam, then I will add some more multiple choice. Are you taking AB or BC, Anna?
@@vinteachesmath I’m taking the AB exam this year. Can u also do a video for revolutions and related rates? U explain things so clearly & ty for all u do!!
Thanks so much! Can I ask: Where do you find the graphing calculator online?
thank you very much i passed my sat
w video
This was very helpful! Could you do a video for the free response questions in preparation of the 2021 AP Calculus AB exam?
I am adding more free response content over the next few weeks. I just added a motion problem video. Which free response topic do you find most challenging?
@@vinteachesmath Washer and disk method are challenging for me
@@benreimer3987 same
It's cram time boys
I hope it went well!
for #80, isn't it when the first derivative has a relative extrema? so the answer would be C) three
For question 86, the data says the velocity changes from t=1 to t=2 but the slope on option C doesn't appear to change at all during that interval while option E does. Is there a reason behind this or just a poor graph?
If the test is this easy, I’ll pass.
I hope that was a sign that you were ready for the AP test!
Wait... what did he say?
76 is not Sloppy! when f ' =0 in a single point dosn't necessarily mean f is not increasing! like y= x^3 when x=0, y'=0, but the graph is still increasing.
I'm sorry but not true. Example: y = x^3 --> y' = 3x^2 set = 0 to find critical values. 3x^2=0 yields x=0. Now, create your sign graph test points x=-1 (yeilds positive when you plug into y') next test point of x = 1 (also yeilds positive when you plug into y') but plug in zero, 0=0 niether pos. nor neg. meaning it is not increasing or decreasing at zero. y=x^3 is increasing everywhere except zero. Interval of increasing (-inf, 0)U(0, inf). It is at momentary rest at x=0. The reason for this is if you calculate all the tangent lines as you get close to zero on y=x^3, they becaome a horizontal tangent when approaching zero. All the infinite tangents slopes are positive except for the horizontal tangent at x=0.
Now, corners & cusps (i.e y=abs(x) and y = x^(2/3) ) are some strange birds but are doable.
@@chrismanson3211 when you look at the definition of increasing functions (not in the differentiation sense) for every x_1 < x_2 couple f(x_1) < f(x_2) .
This is going to be helpful. Any other tips for studying? Mine is May 24.
Aside from learning the multiple choice, practice free response questions and pay close attention to the rubrics. It is important to know as much about the scoring process as you can. Another activity I do with students is looking at the sample responses on the AP FRQ page so you can see what a full and partial credit solution looks like in the FRQ section.
If you need more specific practice, I would download the list of all the topics, google "ap calculus ab or bc course description" and look for the pages that have all 10 units with a list of all the topics. Go through the list and practice the topics you feel weakest with.
I think I will have to make a tips for a 5 video in the future!
Good luck tommorow man I’ve got it too
MDST Gaming yeah gl
@ 1:25 I totally agree with your answer on 76. Sloppy, sloppy lol.
It still bothers me! In the free response portion of the test, they are super particular about how solutions need to be written for full credit. Thanks for watching and commenting!
@@vinteachesmath hi sorry for late reply but shouldn't it be e since f is increasing [4,5]
@@atomkom773 Since we're given the graph of f'(x), anywhere the graph is above the x-axis is where f(x) is increasing. Since the graph of f'(x) is below the x-axis (negative) on [4,5] means that f(x) must be decreasing on that same interval. It can also be interpreted that f"(x) is positive on [4,5] since f'(x) is increasing on that interval. It helps me to think about the slopes of the infinite tangents to the curves of f(x) to get a general idea of f'(x), when going in "that direction".
The problem with this question is when x = -2,1,3 . f'(x) is neither positive or negative, meaning f(x) is not increasing nor decreasing at those x's so answer B is not correct. The true answer should be (-2, 1) U (1 , 3) excluding -2,1 & 3 like vinteachsmath wonderfully demonstrates in 76.
How would you do 80 with the TI inspire cx?
I do not have much practice with that calculator. My school uses the ti 84 model since its cheaper!
Best wishes for your AP test.
@@vinteachesmath I figured it out, for future reference its the button next to the 9 on TI inspire cx! Thank you!
Does it matter how old the test question is?
If you watch the movie Stand and Deliver (1988), you will see the test questions they do resemble a lot of the practice questions you will see in your current classroom. Calculus can stand the test of time!
The research that professors do will always be evolving. Math is a growing subject! It will be very interesting to see where math and technology go in the next century.
I don’t understand the last question at all tbh