Worksheet 3.8 Related Rates - Calculus Maximus Page 2
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7Calculus Maximus
WS 3.8: Related Rates
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4. A point is moving on the graph of
5
x
6
y
xy
. When the point is at
,
, its y-coordinate is
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increasing at a speed of 5 units per second. What is the speed of the x-coordinate at that time and in
which direction is the x-coordinate moving?
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17
(A) 8 units/sec, increasing x (B)
units/sec, decreasing
x
(C)
units/sec, increasing
x
2
2
33
35
(D)
units/sec, decreasing
x
(E) 8 units/sec, decreasing x
(F)
units/sec, decreasing
x
4
4
is increasing at a constant rate of 2 radians per hour. At
5. In the right-triangle shown at right, the angle
x
what rate is the side length of x increasing when
4
feet?
(A) 8 ft/hour (B) 4 ft/hour (C) 10 ft/hour (D) 6 ft/hour (E) 2 ft/hour
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