8 Nov 2021
Problem 38
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
8 Nov 2021
Given information
the density of the gasoline filled in the tank is 
and the tank is designed with ends in the shape of the region between the curves 
and 
.
Step-by-step explanation
Step 1.
tank has ends in the shape of the curve , so the height of the tank is given by 
.
At a height 
from the bottom of the tank, the distance from the surface of water is 
.
So,compute the pressure at height from the bottom of the tank as 
.
Also compute area of an infinitesimally thin horizontal strip of thickness 
on the end face of the tank located at height .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 8
- Problem 9
- Problem 10
- Problem 11b
- Problem 11b
- Problem 12
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 28a
- Problem 28b
- Problem 29a
- Problem 29b
- Problem 29c
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39b
- Problem 39c
- Problem 39d
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51a
- Problem 51b
- Problem 52a
- Problem 52b
- Problem 52c