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12 Nov 2021
Problem 6
Page 260
Section 4.1: Related Rates
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
12 Nov 2021
Given information
The radius of a sphere is increasing at a rate of 
. That is, 
.
The diameter is 
.
Step-by-step explanation
Step 1.
The formula of volume of a sphere is:
Differentiate both sides:
Substitute 
:
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 8
- Problem 9
- Problem 10
- Problem 11a
- Problem 11b
- Problem 11c
- Problem 11d
- Problem 11e
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 12d
- Problem 12e
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 13d
- Problem 13e
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 14d
- Problem 14e
- Problem 15
- Problem 16
- Problem 17
- Problem 18a
- Problem 18b
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 107aiii
- Problem 107b