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lab5_f11

# lab5_f11 - Math 116 Lab 5 Fall 2011 Applications of...

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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. Last name: First name: Student number: 1

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Math 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. 2. Suppose air is blown into a spherical bubble of liquid glass at 5 cubic inches per second. How fast is the surface area changing when the volume is 64 cubic inches?
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