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Mathematics
Mathematics
Problem
Let
B
=
(
0
,
3
)
B = (0,3)
B
=
(
0
,
3
)
and
C
=
(
4
,
0
)
C = (4, 0)
C
=
(
4
,
0
)
. The point
A
A
A
is moving on the line
y
=
2
x
y = 2x
y
=
2
x
at the rate of 2 units/second. The area of
Δ
A
B
C
\Delta ABC
Δ
A
B
C
is increasing at the rate of (A)
11
5
\frac{11}{\sqrt{5}}
5
11
(units)
2
^2
2
/sec (B)
11
5
\frac{11}{5}
5
11
(units)
2
^2
2
/sec (C)
13
5
\frac{13}{\sqrt{5}}
5
13
(units)
2
^2
2
/sec (D)
13
5
\frac{13}{5}
5
13
(units)
2
^2
2
/sec
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