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Mathematics
Problem
A function is represented parametrically by the
equations
x
=
1
+
t
t
3
;
y
=
3
2
t
2
+
2
t
,
then
d
y
d
x
−
x
⋅
(
d
y
d
x
)
3
\text{equations } x = \frac{1+t}{t^3}; y = \frac{3}{2t^2} + \frac{2}{t}, \text{ then } \frac{dy}{dx} - x \cdot \left( \frac{dy}{dx} \right)^3
equations
x
=
t
3
1
+
t
;
y
=
2
t
2
3
+
t
2
,
then
d
x
d
y
−
x
⋅
(
d
x
d
y
)
3
has the absolute value equal to ..... .
\text{has the absolute value equal to ..... .}
has the absolute value equal to ..... .
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