Write the differential formula that estimates the given change in volume or surface. Then, use the formula to estimate the change when the dependent variable changes from 10 cm to 10.05 cm: the change in the lateral surface area S=2pi*r*h of a right circular cylinder when the height changes from a to a+dh and the radius does not change

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
Question

Write the differential formula that estimates the given change in volume or surface. Then, use the formula to estimate the change when the dependent variable changes from 10 cm to 10.05 cm:

the change in the lateral surface area S=2pi*r*h of a right circular cylinder when the height changes from a to a+dh and the radius does not change

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