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ISI B.Math Entrance Exam
2005 ISI B.Math Entrance Exam
5
5
Part of
2005 ISI B.Math Entrance Exam
Problems
(1)
B.Math - maximum
Source:
6/20/2012
Find the point in the closed unit disc
D
=
{
(
x
,
y
)
∣
x
2
+
y
2
≤
1
}
D=\{ (x,y) | x^2+y^2\le 1 \}
D
=
{(
x
,
y
)
∣
x
2
+
y
2
≤
1
}
at which the function
f
(
x
,
y
)
=
x
+
y
f(x,y)=x+y
f
(
x
,
y
)
=
x
+
y
attains its maximum .
function
inequalities
analytic geometry
graphing lines
slope
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