F = 3 x 10-4³-4.4 x 10-³w²+3.93w+0.221

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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To measure the physical properties of cells, a piezoelectric probe is used. The force applied by the probe is compared against
how much the cell deforms. If F is the force applied by the probe, and w is the distance it moves into the cell, then the stiffness
of the cell can be calculated from the rate of change, dF/dw. Zhang et al. found that if F is measured in uN and w in um then
for a zebrafish embryo:
F = 3 x 10-4³-4.4 x 10-³w² +3.93w+0.221
Calculate dF/dw for a sample when w = 100μm.
Transcribed Image Text:To measure the physical properties of cells, a piezoelectric probe is used. The force applied by the probe is compared against how much the cell deforms. If F is the force applied by the probe, and w is the distance it moves into the cell, then the stiffness of the cell can be calculated from the rate of change, dF/dw. Zhang et al. found that if F is measured in uN and w in um then for a zebrafish embryo: F = 3 x 10-4³-4.4 x 10-³w² +3.93w+0.221 Calculate dF/dw for a sample when w = 100μm.
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