2022 AP Calculus AB BC Free Response #1

Walkthrough of the 2022 AP Calculus AB/BC FRQ #1
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[@Rbmukthegreat]

I found a small mistake. On part d) you say that N’(t) is A’(t) - 400, when it should be A(t) - 400. You did all the work correctly though

[@AllenTsaoSTEMCoach]

Yeah I think I catch that eventually in the video? But yep you're right.

[@dckyyy9703]

i think i got a 9/9 on this, you just boosted my confidence a lot!

[@saishpottabathula6665]

nice!!! i got 2/9 :(

[@iparsar2596]

@@saishpottabathula6665 W

[@eshaansharma3777]

for c you have to find what A(t) is and what A'(t) is. If they are both the same sign the rate is increasing if they are opposite signs the rate is decreasing

[@AllenTsaoSTEMCoach]

Positive rate = increasing, negative rate = decreasing

[@chrisg0228]

that would be the case if it was talking about velocity and acceleration

[@mangomasher7254]

That is if they use the phrase “speeding up” or “slowing down” here it just say increasing or decreasing

[@mrbutterfluff1881]

thats not true?

[@alimadi9053]

thanks for the great video

[@Ambatakummmmm]

for 1c if I said the rate is increasing because both A(1) and A'(1) are positive how many points will I lose?

[@AllenTsaoSTEMCoach]

I don't think you'd lose points. You did say A'(1) is positive, which is fine.

[@direneedofhigherfructose7153]

I did fine on this one but not enough to rescue my other scores from the dark trenches of null.

[@jjgiant1709]

Am I the only one who had a different form???? Why aren’t the questions for my form released???

[@AllenTsaoSTEMCoach]

Some schools randomly get a different test from everyone else. There will be others who have your version, but they won't be released.

[@rominamallea6261]

On number 1a, I put the exact same thing as you did but I put an absolute value around the function because it said total amount so i thought they wouldve wanted to add the absolute value around it. Do you think they would deduct a point for me doing that?

[@monk7873]

I did the same

[@AllenTsaoSTEMCoach]

Hard to say. I don't think so, and there's no real reason to say it would be wrong. So I'd argue it should be counted as correct.

[@sharpiesniffer5902]

Same here too

[@helpmereach10ksubswithnovi96]

For part d I got the answer right, but I did not use critical numbers.. just graphed and saw that A(t)=400 at the two points and found the integral. How do you think they would mark it?

[@AllenTsaoSTEMCoach]

As long as you started what you did and why that gives you the maximum, you would get full credit

[@helpmereach10ksubswithnovi96]

@@AllenTsaoSTEMCoach Great, thank you!

[@hi-xe6ns]

Will I get a point off for not rounding to 71 and leaving in decimal value

[@prequelanimations539]

yes u will

[@monk7873]

How many points u guys think part d is?

[@oscarzavala5516]

I got the first three right how many points do you believe that would be

[@jizzymeme1902]

6 or 7

[@mangomasher7254]

my dumbass evaluated the first one didn’t read the question do I still get credit or no?

[@pavana_]

i think if you still put the expression you'll get all the points

[@AllenTsaoSTEMCoach]

Yeah as long as you wrote the integral out, you'd be fine. You could have just used A(t) for the integral expression too.

[@manisinterlude]

Everyday of school I wonder why I took AP AB Calculus 😭🤦🏽‍♀️.

[@timverdun6167]

For 1 b why do you integrate when the function is already a rate function

[@user-hh3ge8yr1t]

The average value of the rate is equal to 1/(b-a) multiplied by the integral of the function, so you need to integrate the rate to find the average.

[@danieljoo3021]

I got something else for part b. Could you possibly try doing the math again?

[@AllenTsaoSTEMCoach]

I checked it again. Is your calculator in radian mode?

[@danieljoo3021]

@@AllenTsaoSTEMCoach Oh yes .... I really hope i didn't do that for the actual exam. Also, do you know the possible point distribution for each frq?

[@AllenTsaoSTEMCoach]

@@danieljoo3021 I'm not too good at guessing those. I'm not totally sure really. Each FRQ is worth a total of 9 points though.

[@ImElytra]

How many points would you lose if you didn't make the table?

[@AllenTsaoSTEMCoach]

It depends on what you did. You don't have to make a table, but you do need to check end points and critical points. It's usually 1 point for including the end points in your check of where the minimum is.

[@ImElytra]

@@AllenTsaoSTEMCoach okay, thank you!

[@abdelrahmansobhy983]

I did not get this version.. do they release the other versions of the exam?

[@AllenTsaoSTEMCoach]

They do not. They only release one set each year

[@AllenTsaoSTEMCoach]

Sorry they do not

[@venkatamanikonda9245]

5/9

[@sxxnicuhh7529]

DANG IT i put integral of absolute value in part a 😭

[@AllenTsaoSTEMCoach]

That shouldn't have affected your answer. Unless you did the absolute value of the sin function

[@ghastly7975]

@@AllenTsaoSTEMCoach if you did the absolute value of a(t) do u think that still gets points

[@AllenTsaoSTEMCoach]

@@ghastly7975 hard to say. Depends on how many points it was worth

[@bensonzou3716]

9:20 😭😭😭😂😂

[@iparsar2596]

nerd