shin (ys5232) – Homework 12 (Section 3.8) – miner – (55096)
1
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7
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001
10.0 points
A rock is thrown into a still pond and causes
a circular ripple. If the radius of the ripple is
increasing at a rate of 6 ft/sec, at what speed
is the area of the ripple increasing when its
radius is 2 feet?
1.
speed = 25
π
sq. ft/sec
2.
speed = 26
π
sq. ft/sec
3.
speed = 23 sq. ft/sec
4.
speed = 27 sq. ft/sec
5.
speed = 24 sq. ft/sec
6.
speed = 23
π
sq. ft/sec
7.
speed = 26 sq. ft/sec
8.
speed = 24
π
sq. ft/sec
002
10.0 points
A point is moving on the graph of
xy
= 2.
When the point is at (2
,
1), its
x
coordinate
is increasing at a rate of 6 units per second.
What is the speed of the
y
coordinate at
that moment and in which direction is it mov
ing?
1.
speed =

5 units/sec, increasing
y
2.
speed = 5 units/sec, increasing
y
3.
speed = 3 units/sec, decreasing
y
4.
speed =

3 units/sec, decreasing
y
5.
speed = 4 units/sec, increasing
y
6.
speed =

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 Fall '10
 Guntel,Miner
 Probability theory

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