Multivariable Calculus Quiz
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Question 1
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Let
F
(
x
,
y
,
z
)
=
0
F(x,y,z) = 0
F
(
x
,
y
,
z
)
=
0
define
z
z
z
implicitly as a function of
x
x
x
and
y
y
y
. If
F
x
=
6
F_x = 6
F
x
=
6
,
F
y
=
−
4
F_y = -4
F
y
=
−
4
, and
F
z
=
8
F_z = 8
F
z
=
8
, what is
∂
z
∂
x
\frac{\partial z}{\partial x}
∂
x
∂
z
?
A
4
3
\frac{4}{3}
3
4
B
3
4
\frac{3}{4}
4
3
C
−
4
3
-\frac{4}{3}
−
3
4
D
−
3
4
-\frac{3}{4}
−
4
3
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