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AP Calculus AB follows the curriculum set forth by the College Board. It is worth the equivalent of one semester of college credit upon successful completion of the AP examination offered in May. Students enrolled in this course are required to take this test. Topics covered include library of functions, limits, the derivative, applications of the derivative, definite and indefinite integrals, applications of integration, etc.

notes / updates

January 13, 2025 | Thoughts on recent quiz
If there are typos or mistakes, let me know so I can fix them here.

P1.
\( s(t) = t^3-9t^2+24t \)
\( v(t) = 3t^2-18t+24 = 3 (t-2)(t-4) \)
\( a(t) = 6t-18 = 6(t-3) \)
Study the sign behavior of velocity and acceleration, to conclude that that particle is slowing down on the intervals (0, 2) and (3,4) and speeding up on the intervals (2, 3) and \( (4, \infty) \).
Be sure to include a neat schematic drawing with domain \( t\geq 0 \) and s(0) = 0, s(2)=20, s(3)=18, s(4)=16.

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