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

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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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
Transcribed Image Text: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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