Defining and Differentiating Vector-Valued Functions
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
How do you represent a vector-valued function in 2D?
QUESTION
How is the binormal vector
B
(
t
)
\text{B}(t)
B
(
t
)
defined?
QUESTION
State the formula for the arc length of a curve
r
(
t
)
\text{r}(t)
r
(
t
)
from
a
a
a
to
b
b
b
.
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ANSWER
L
=
∫
a
b
∣
r
′
(
t
)
∣
d
t
L = \int_a^b |r'(t)| dt
L
=
∫
a
b
∣
r
′
(
t
)
∣
d
t
. Integrates the magnitude of the velocity vector.
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