We solve all free response questions from the 2023 AP Calculus AB exam. A few of these free response questions were also on the 2023 AP Calc BC exam. #apcalculus #apcalculusab

10 Hours of AP Calc FRQS: https://youtu.be/OWh6ZIsop9M
2024 AP Calc AB FRQs: https://youtu.be/xRiUf-f7mDY

View the AP Calc AB 2023 FRQs yourself: https://apcentral.collegeboard.org/media/pdf/ap23-frq-calculus-ab.pdf

Download the free PDF of my AP Calc AB 2023 FRQ Solutions: https://www.patreon.com/posts/2023-ap-calc-ab-82878389?utm_medium=clipboard_copy&utm_source=copyLink&utm_campaign=postshare_creator&utm_content=join_link

Calculus 1 Exercises playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx
Calculus 1 Course: https://www.youtube.com/playlist?list=PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy

FRQ 1, FRQ 3, and FRQ 4 are on both the AB and BC Calc exams. The remaining free response questions are exclusive to the AP Calc 2023 AB exam.

AP Calc BC 2023 FRQ Solutions!: (coming soon)

Intro - 0:00
FRQ1A - 0:33
FRQ1B - 3:43
FRQ1C - 5:40
FRQ1D - 7:09
FRQ2A - 8:46
FRQ2B - 10:19
FRQ2C - 12:09
FRQ2D - 12:56
FRQ3A - 13:53
FRQ3B - 14:59
FRQ3C - 17:32
FRQ3D - 19:47
FRQ4A - 23:08
FRQ4B - 24:32
FRQ4C - 25:17
FRQ4D - 26:55
FRQ5A - 30:27
FRQ5B - 31:30
FRQ5C - 34:04
FRQ5D - 35:25
FRQ6A - 36:16
FRQ6B - 37:46
FRQ6C - 38:45
FRQ6D - 40:25
Outro - 43:13

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!

Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
● Facebook: https://www.facebook.com/WrathofMath
● Twitter: https://twitter.com/wrathofmathedu

For the sake of showing up in searches, I will now repeat the intros to the FRQs.

AP Calc AB FRQ1: A customer at a gas station is pumping gasoline into a gas tank. The rate of flow of gasoline is modeled by a differentiable function f, where f(t) is measured in gallons per second and t is measured in seconds since pumping began.

AP Calc AB FRQ2: Stephen swims back and forth along a straight path in a 50-meter-long pool for 90 seconds. Stephen's velocity is modeled by v(t)=2.38e^(-0.02t)sin*((pi/56)t).

AP Calc AB FRQ3: A bottle of milk is taken out of a refrigerator and placed in a pan of hot water to be warmed. The increasing function M models the temperature of the milk at time t.

AP Calc AB FRQ4: The function f is defined on the closed interval [-2,8] and satisfies f(2)=1. The graph of f', the derivative of f, consists of two line segments and a semicircle, as shown in the figure.

AP Calc AB FRQ5: The functions f and g are twice differentiable. The table shown gives values of the functions and their first derivatives at selected values of x.

AP Calc AB FRQ6: Consider the curve given by the equation 6xy = 2 + y^3.

My Math Rap channel: https://www.youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured