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Math 116  Lab 5  Fall 2011.
Applications of derivatives: related rates; minima and maxima of a function; Mean Value
theorem (Sections 3.4, 4.2, 4.4 and 4.5 of L/G).
You are to provide full solutions to the following problems. You are allowed to collaborate with your
classmates, use your notes and textbook and ask the TA for guidance. Direct copying of solutions
is not encouraged, nor is it allowed or ethical.
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View Full DocumentMath 116  Lab 5  Fall 2011.
Student number:
Applications of derivatives: related rates; minima and maxima of a function; Mean Value
theorem (Sections 3.4, 4.2, 4.4 and 4.5 of L/G).
1. The kinetic energy of an object is
K
=
v
2
when its mass is 2 kg, where
v
is its speed
(in m/sec). Suppose such an object is traveling at 4 meters per second and its kinetic
energy is decreasing at a rate of 3 J/sec. Determine the rate of change in its speed.
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 Spring '11
 RobertAndre
 Calculus, Derivative

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