Multivariable Calculus Quiz
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OPTIMIZATION IN SEVERAL VARIABLES
Question 1
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A particle moves along the curve
x
2
+
2
y
2
=
6
x^2 + 2y^2 = 6
x
2
+
2
y
2
=
6
. At which point on this curve is the function
h
(
x
,
y
)
=
x
2
y
h(x,y) = x^2y
h
(
x
,
y
)
=
x
2
y
maximized?
A
(
2
,
1
)
(2, 1)
(
2
,
1
)
B
(
2
,
2
)
(\sqrt{2}, \sqrt{2})
(
2
,
2
)
C
(
2
,
−
1
)
(2, -1)
(
2
,
−
1
)
D
(
6
,
0
)
(\sqrt{6}, 0)
(
6
,
0
)
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