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Attempt following question by selecting a choice to answer.
c
Find
d
y
d
x
for the parametric curve
x
=
2
t
,
y
=
t
 14.
DDDD cccc
A.
c

1
t
2
B.
c
1
t
2
C.
c
t
^{2}
D.
c

1
2
t
^{2}
E.
c
2
cc
D
View Solution Steps
Step 1:
x
=
2
t
,
y
=
t
 14[Equations of the parametric curves.]
Step 2:
d
x
d
t
=

2
t
2
[Differentiate
x
with respect to
t
.]
Step 3:
d
y
d
t
= 1[Differentiate
y
with respect to
t
.]
Step 4:
d
y
d
x
=
d
y
d
t
d
x
d
t
[Find
d
y
d
x
.]
Step 5: =
1

2
t
2
= 
1
2
t
^{2}
[Simplify.]
Step 6:
d
y
d
x
= 
1
2
t
^{2}
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