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Unformatted text preview: L20 – Related Rates 1. Sketch and assign variables to all quantities that are functions of time 2. List the given information and desired rate of change 3. Write an equation relating the the variables of interest 4. Differentiate implicitly with respect to time 5. Substitute known values and solve for the desired rate of change 1 A point is moving along the graph of the function y = 1 1 + x 2 so that the velocity in the x direction as it passes the point ( 2 , 1 5 ) is 2 cm/min. What is the velocity in the y direction at this time? 2 A spherical balloon is inflated with gas at a rate of 8 π cubic ft/min. How fast is the radius changing when the volume is 36 π cubic ft? 3 How fast is the surface area changing at that same time? 4 A camera is mounted at a point 4000 ft from the base of a rocket launching pad. If the camera to rocket distance is changing at 900 ft/sec when the rocket is 3000 ft high, how fast is the rocket rising at this time?...
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This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Rate Of Change

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