Homework Help is Here – Start Your Trial Now!
Math
Calculus
The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω where v is the volume of the region. Find the average distance of a point in solid ball of radius 34 to its center. the answer in this form :: or 3294 6 Like this

The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω where v is the volume of the region. Find the average distance of a point in solid ball of radius 34 to its center. the answer in this form :: or 3294 6 Like this

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

I have attached ref.er.ence answer for you. Use it to solve my question. 

The average value, f, of a function, f, at points of the space region is defined as ||| Ω f=1 f dv, where v is the volume of the region. Find the average distance of a point in solid ball of radius 34 to its center. the answer in this form:. 3294 6 -ov Like this
Transcribed Image Text:The average value, f, of a function, f, at points of the space region is defined as ||| Ω f=1 f dv, where v is the volume of the region. Find the average distance of a point in solid ball of radius 34 to its center. the answer in this form:. 3294 6 -ov Like this
The average value, f, of a function, f, at points of the space region is defined as !!! Ω where v is the volume of the region. Find the average distance of a point in solid ball of radius 16 to its center. Where V is the volume of the region Now, Given, the average value off, of a function f at points of the region is defined as ƒ = = f f ffdv Ω Radius (r) = 16 :: Volume (V) of the solid ball = ²³ Average distance= = = = fff rdv Ω 16384 16384 = 2π 16 f2ff¹ r. r² sin 0 drdodd 2π · 12²* 13² ( 3 16384л 2π 16 1²* * (r³ sin 0 dr)dod 16 16384 JO 1²* 16 ( 3x164 16384x4 2π = $f² døp = (4) ² = π(16)³ 16384 3 4 sin 0 4 : 응 (2x) 12 164 sin 4 0 dodd 2π ² ( sin Ode) ddp 196608 -2π 65536 -²/² (cos - cos(0))dd 2π -²/2² (-1-1)dd dodo (- cos 0) do { / sin Ode=- f= cos 0 + c} {* cos(n) = (-1)"} f dv,
Transcribed Image Text:The average value, f, of a function, f, at points of the space region is defined as !!! Ω where v is the volume of the region. Find the average distance of a point in solid ball of radius 16 to its center. Where V is the volume of the region Now, Given, the average value off, of a function f at points of the region is defined as ƒ = = f f ffdv Ω Radius (r) = 16 :: Volume (V) of the solid ball = ²³ Average distance= = = = fff rdv Ω 16384 16384 = 2π 16 f2ff¹ r. r² sin 0 drdodd 2π · 12²* 13² ( 3 16384л 2π 16 1²* * (r³ sin 0 dr)dod 16 16384 JO 1²* 16 ( 3x164 16384x4 2π = $f² døp = (4) ² = π(16)³ 16384 3 4 sin 0 4 : 응 (2x) 12 164 sin 4 0 dodd 2π ² ( sin Ode) ddp 196608 -2π 65536 -²/² (cos - cos(0))dd 2π -²/2² (-1-1)dd dodo (- cos 0) do { / sin Ode=- f= cos 0 + c} {* cos(n) = (-1)"} f dv,
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS