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6 x
⋅
9 y
⋅
−
16 z
⋅
−
5
=
3
8
x
3
+
(
)
9
16
y
1
−
(
)
−
1 z
2
+
(
)
−
0
=
n
x
x
x
0
−
(
)
n
y
y
y
0
−
(
)
+
n
z
z
z
0
−
(
)
+
0
=
n
→
i
→
3
8
⎛
⎜
⎝
⎞
⎟
⎠
⋅
j
→
9
16
−
⎛
⎜
⎝
⎞
⎟
⎠
⋅
+
k
→
1
−
(
)
⋅
+
=
n
→
i
→
z
x
3
−
1
,
(
)
⋅
⎡
⎣
⎤
⎦
⋅
j
→
z
y
3
−
1
,
(
)
⋅
⎡
⎣
⎤
⎦
⋅
+
k
→
1
−
(
)
⋅
+
=
z
y
3
−
1
,
(
)
3
−
(
)
2
8
2
−
(
)
⋅
=
9
16
−
=
y
z
∂
∂
x
2
8 z
⋅
=
x
2
8 z
⋅
y
z
∂
∂
⋅
−
0
=
Differentiate implicitely with respect to "y".
z
x
3
−
1
,
(
)
3
−
(
)
1
( )
⋅
4
2
−
(
)
⋅
=
3
8
=
x
z
∂
∂
x y
⋅
4 z
⋅
=
2 x
⋅
y
⋅
8 z
⋅
x
z
∂
∂
⋅
−
0
=
Differentiate implicitely with respect to "x".
(a.) Find an equation of the tangent plane and parametric
equations for the normal line to the surface:
x
2
y
⋅
4 z
2
⋅
−
7
−
=
at the
point
3
−
1
,
2
−
,
(
)
.
(1.) Determine the following about the
tangent planes &
normals to surfaces
CALCULUS 4 QUIZ #3 REVIEW Part 1 / SPRING 09

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