AP Calculus BC Exam Review 2024: Free Response Practice Exam Problems & Solutions

Problem-Type Time Stamps are Further Below.

Links and resources
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⏱️TIMESTAMPS⏱️
(0:00) Introduction
(0:39) 1) Given data about f and f', approximate f'' and evaluate a couple integrals.
(15:00) 2) Differential equation (separation of variables)
(28:14) 3) Given a Maclaurin series, find the interval of convergence and do various manipulations.
(42:20) 4) Polar curve: find the area and some derivatives
(53:57) 5) Taylor series for ln(x+1), radius of convergence, and use it to estimate a definite integral.
(1:12:43) 6) Graph a function defined by an integral (as well as do other things).
(1:23:08) 7) Taylor series for 1/(4+x^2) and its integral. Relate a series to pi.
(1:34:25) 8) Implicit differentiation problem (given an implicitly defined function).

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[crystalsun]

1:08:53: why do you use Lagrange error instead of alternating series error? How do you know which to use?

[zabloinksliu]

Thank you! my test is in 11 hours. this video was very helpful.

[mcguy]

This is really helping me! Please keep doing these 😅

[dansmagicalcreations]

Thank you so much sir, the step by step methodology approach you have is amazing for my learning style. My test is tomorrow and I have to thank you for taking your time to do this for us, thank you.

[oroy]

36:25 Why is the denominator (2n)! rather than (2n + 2)! ??

[DutchMathematician]

@1:40:19:
You should change (read: lower) the value of 0.25 for x a bit: there are no points (x, y) on the curve with x=0.25. The max. for the x-value on the curve is about 0.2060... (according to my HP Prime).
Another way to see this is to enter x=0.25 in the equation for the curve. This wil give a quadratic equation for y with a negative determinant.

[ronniebabadzhanov]

i have no idea how you got -4 for number 8 part d. i got -2