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Practice: Parametric Curve
Related Topics
Wize University Calculus 2 Textbook > Parametric & Polar Curves
Parametric Equations
4 Activities
Write the Cartesian equation that corresponds to the parametric equatoins
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
\left\{x=\cos t,\ y=\cos^2t:\ t\in\mathbb{R}.\right\}
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
, and state any restrictions on the variables.
y
=
x
2
y=x^2
y
=
x
2
,
x
∈
(
−
1
,
1
)
x\in\left(-1,1\right)
x
∈
(
−
1
,
1
)
y
=
x
2
y=x^2
y
=
x
2
,
x
∈
[
−
1
,
1
]
x\in\left[-1,1\right]
x
∈
[
−
1
,
1
]
y
=
cos
(
x
2
)
y=\cos\left(x^2\right)
y
=
cos
(
x
2
)
,
y
∈
[
−
1
,
1
]
y\in\left[-1,1\right]
y
∈
[
−
1
,
1
]
y
=
cos
2
(
x
)
,
y
∈
[
−
1
,
1
]
y=\cos^2\left(x\right),\ y\in\left[-1,1\right]
y
=
cos
2
(
x
)
,
y
∈
[
−
1
,
1
]
y
=
cos
(
x
2
)
y=\cos\left(x^2\right)
y
=
cos
(
x
2
)
,
y
∈
(
−
1
,
1
)
y\in\left(-1,1\right)
y
∈
(
−
1
,
1
)
I don't know
Check Submission
More Parametric Equations Questions:
Practice: Parametric Curve
Practice Question
Write the Cartesian equation that corresponds to the parametric equatoins
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
\left\{x=\cos t,\ y=\cos^2t:\ t\in\mathbb{R}.\right\}
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
, and state any restrictions on the variables.
Practice: Parametric Curves Graphs
Practice Question
Given the graphs a. to c. of
x
(
t
)
,
y
(
t
)
x\left(t\right),\ y\left(t\right)
x
(
t
)
,
y
(
t
)
, match them with the appropriate parametric curves i. to iii. of
{
x
(
t
)
,
y
(
t
)
}
\left\{x\left(t\right),\ y\left(t\right)\right\}
{
x
(
t
)
,
y
(
t
)
}
.
Practice: Parametric Curves Graphs
Practice Question
Given the graphs a. to c. of
x
(
t
)
,
y
(
t
)
x\left(t\right),\ y\left(t\right)
x
(
t
)
,
y
(
t
)
, match them with the appropriate parametric curves i. to iii. of
{
x
(
t
)
,
y
(
t
)
}
\left\{x\left(t\right),\ y\left(t\right)\right\}
{
x
(
t
)
,
y
(
t
)
}
.
Practice: Parametric Curves Graphs
Practice Question
Given the graphs a. to c. of
x
(
t
)
,
y
(
t
)
x\left(t\right),\ y\left(t\right)
x
(
t
)
,
y
(
t
)
, match them with the appropriate parametric curves i. to iii. of
{
x
(
t
)
,
y
(
t
)
}
\left\{x\left(t\right),\ y\left(t\right)\right\}
{
x
(
t
)
,
y
(
t
)
}
.
Practice: Parametric Curve
Practice Question
Write the Cartesian equation that corresponds to the parametric equatoins
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
\left\{x=\cos t,\ y=\cos^2t:\ t\in\mathbb{R}.\right\}
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
, and state any restrictions on the variables.
Practice: Parametric Curves Graphs
Practice Question
Given the graphs a. to c. of
x
(
t
)
,
y
(
t
)
x\left(t\right),\ y\left(t\right)
x
(
t
)
,
y
(
t
)
, match them with the appropriate parametric curves i. to iii. of
{
x
(
t
)
,
y
(
t
)
}
\left\{x\left(t\right),\ y\left(t\right)\right\}
{
x
(
t
)
,
y
(
t
)
}
.
Practice: Parametric Curves Graphs
Practice Question
Given the graphs a. to c. of
x
(
t
)
,
y
(
t
)
x\left(t\right),\ y\left(t\right)
x
(
t
)
,
y
(
t
)
, match them with the appropriate parametric curves i. to iii. of
{
x
(
t
)
,
y
(
t
)
}
\left\{x\left(t\right),\ y\left(t\right)\right\}
{
x
(
t
)
,
y
(
t
)
}
.
Practice: Parametric Curve
Practice Question
Write the Cartesian equation that corresponds to the parametric equations
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
\left\{x=\cos t,\ y=\cos^2t:\ t\in\mathbb{R}.\right\}
{
x
=
cos
t
,
y
=
cos
2
t
:
t
∈
R
.
}
, and state any restrictions on the variables.