CB.Calc: AP Calculus Learning Objectives

AP Calculus Learning Objectives

Example Problems

f(x) = \frac{2}{1 + 4x}

Find the power series for f.

Consider the parametric curve:

x = \frac{1}{t + 4}

y = 2t^{5}

Which integral gives the arc length of the curve over the interval from

t = -3

to

t = 0

?

The component form of vector

\vec{v}

is

\vec{v} = (2, 0)

.
Find

5\vec{v}

.

\sum_{n=0}^{\infty}\frac{x^{2n}}{n!}

is the Maclaurin series for what function?

Which integral gives the arc length of the curve

y = e^{3x}

over the interval

[0, 2]

?

1-on-1 AI tutoring aligned to CB.Calc. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.