V(r) = ²³ If the radius of a tumor is estimated at 1.4 cm, with a maximum error in measurement of 0.004 cm, use differentials to approximate the error (in cm³) that might occur when the volume of the tumor is calculated. (Round your answer to four decimal places.) cm

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...
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Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the following equation.
4
V(r) = ar²³
If the radius of a tumor is estimated at 1.4 cm, with a maximum error in measurement of 0.004 cm, use differentials to approximate the error (in cm3) that might occur when the
volume of the tumor is calculated. (Round your answer to four decimal places.)
+
cm³
3
Transcribed Image Text:Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the following equation. 4 V(r) = ar²³ If the radius of a tumor is estimated at 1.4 cm, with a maximum error in measurement of 0.004 cm, use differentials to approximate the error (in cm3) that might occur when the volume of the tumor is calculated. (Round your answer to four decimal places.) + cm³ 3
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