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Mathematics
Mathematics
Problem
Let
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
be defined parametrically as
y
=
t
2
+
t
∣
t
∣
y = t^2 + t|t|
y
=
t
2
+
t
∣
t
∣
,
x
=
2
t
−
∣
t
∣
x = 2t - |t|
x
=
2
t
−
∣
t
∣
,
t
∈
R
t \in \mathbb{R}
t
∈
R
. a. Find
f
(
x
)
f(x)
f
(
x
)
. b. Discuss the continuity at
x
=
0
x = 0
x
=
0
.
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