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Problem 2
2021 CMC (Non-Math Major) Problem 2
2021 CMC (Non-Math Major) Problem 2
Source: 2021 CMC (Non-Math Major) Problem 2
November 25, 2022
calculus
Problem Statement
Let
z
=
z
(
x
,
y
)
z=z(x,y)
z
=
z
(
x
,
y
)
be implicit function with two variables from
2
s
i
n
(
x
+
2
y
−
3
z
)
=
x
+
2
y
−
3
z
2sin(x+2y-3z)=x+2y-3z
2
s
in
(
x
+
2
y
−
3
z
)
=
x
+
2
y
−
3
z
. Find
∂
z
∂
x
+
∂
z
∂
y
\frac{\partial z}{\partial x}+\frac{\partial z}{\partial y}
∂
x
∂
z
+
∂
y
∂
z
.
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