Defining and Differentiating Parametric Equations
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find
d
y
d
x
\frac{dy}{dx}
d
x
d
y
for
x
=
4
cos
(
t
)
,
y
=
3
sin
(
t
)
x = 4\text{cos}(t), y = 3\text{sin}(t)
x
=
4
cos
(
t
)
,
y
=
3
sin
(
t
)
.
QUESTION
Convert
x
=
5
cos
(
t
)
,
y
=
5
sin
(
t
)
x = 5\text{cos}(t), y = 5\text{sin}(t)
x
=
5
cos
(
t
)
,
y
=
5
sin
(
t
)
to Cartesian form.
QUESTION
Identify the curve:
x
=
a
cosh
(
t
)
,
y
=
b
sinh
(
t
)
x = a\text{cosh}(t), y = b\text{sinh}(t)
x
=
a
cosh
(
t
)
,
y
=
b
sinh
(
t
)
.
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ANSWER
A hyperbola. Standard parametric form using hyperbolic functions
cosh
\cosh
cosh
and
sinh
\sinh
sinh
.
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