Parametric Functions and Rates of Change
AP Precalculus · Flashcards
AP PRECALCULUS · FLASHCARDS
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QUESTION
What is the rate of change of arc length in parametric form?
QUESTION
Identify the parameter for
x
(
t
)
=
tan
(
t
)
,
y
(
t
)
=
sec
(
t
)
x(t) = \text{tan}(t), y(t) = \text{sec}(t)
x
(
t
)
=
tan
(
t
)
,
y
(
t
)
=
sec
(
t
)
.
QUESTION
Identify the type of curve:
x
=
3
cos
(
t
)
,
y
=
3
sin
(
t
)
x = 3 \text{cos}(t), y = 3 \text{sin}(t)
x
=
3
cos
(
t
)
,
y
=
3
sin
(
t
)
.
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ANSWER
A circle with radius 3. Standard parametric form for a circle centered at origin.
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