(4) A balloon is deflating at a rate of 3cm per minute. (a) Write a mathematical...
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(4) A balloon is deflating at a rate of 3cm³ per minute. (a) Write a mathematical statement that relates the Volume of the spherical balloon with the radius (Include units). (b) The radius of the balloon, r(t), in centimeters, is also decreasing with respect to time, t, (minutes). Is positive, negative, or zero? Explain. (c) What are the units of the derivative dr? (d) Use implicit differentiation and the chain rule to find (e) Do you expect the value of de to be positive or negative? Explain. (f) How fast is the angle of elevation changing when the person is 10 meters from the tower? (4) A balloon is deflating at a rate of 3cm³ per minute. (a) Write a mathematical statement that relates the Volume of the spherical balloon with the radius (Include units). (b) The radius of the balloon, r(t), in centimeters, is also decreasing with respect to time, t, (minutes). Is positive, negative, or zero? Explain. (c) What are the units of the derivative dr? (d) Use implicit differentiation and the chain rule to find (e) Do you expect the value of de to be positive or negative? Explain. (f) How fast is the angle of elevation changing when the person is 10 meters from the tower?
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a The mathematical statement that relates the volume of a spherical balloon V with its radius r is V ... View the full answer
Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
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