examp Due to a temperature expansion, the lengths of the sides of a cube increase by 1.5%. Find the approximate percentage change in the volume of the cube due to the temperature expansion. Aa / a = 0.015 AV/V=? a a+да a+Aa a a+Aa 124

examp Due to a temperature expansion, the lengths of the sides of a cube increase by 1.5%. Find the approximate percentage change in the volume of the cube due to the temperature expansion. Aa / a = 0.015 AV/V=? a a+да a+Aa a a+Aa 124

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.3: Evaluate And Graph Logarithmic Functions

Problem 10.54TI: In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In...

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Question

I want to understand how he got that ???????? what I put in black rectangle can you please exoain that for me ???????????????

Worked example:
Due to a temperature expansion, the lengths of the sides of a cube increase by 1.5%.
Find the approximate percentage change in the volume of the cube due to the
temperature expansion.
Aa /a = 0.015
AV/V=?
a
a+Aa
a+Aa
a
а+да
124
Copyright (C), 2016-2021 M.T.Todinov, Oxford Brookes University, Oxford, UK
Solution:
The volume of the cube is given by V=a° where a is the length of its sides.
y = a3
A>? How!!
AV = (3a2)a a
AV =
da.
du
da
= 3a2
V =a3
* = 3 Aa
= 3
a

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