The volume V of a growing spherical cell is V= r³, where the radius r is measured in micrometers (1 µm = 10-6 m). (a) Find the average rate of change of V with respect to r (in μm³/μm) when r changes from 2 μm to each of the following. (Round your answers to one decimal place.) (1) 2 to 5 μm (II) 2 to 3 μm (ii) 2 to 2.1 μm. um3/um | um3/um lum3/um (b) Find the instantaneous rate of change of V with respect to r (in μm³/μm) when r = 2 μm. (Round your answer to one decimal place.) um³/um
The volume V of a growing spherical cell is V= r³, where the radius r is measured in micrometers (1 µm = 10-6 m). (a) Find the average rate of change of V with respect to r (in μm³/μm) when r changes from 2 μm to each of the following. (Round your answers to one decimal place.) (1) 2 to 5 μm (II) 2 to 3 μm (ii) 2 to 2.1 μm. um3/um | um3/um lum3/um (b) Find the instantaneous rate of change of V with respect to r (in μm³/μm) when r = 2 μm. (Round your answer to one decimal place.) um³/um
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 51CR
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