This is not a graded assignment, this is review we did but I do not understand some stuff) I wanted to know where did we get the intergal from 0 to 2, how we went from 4r^3 to 32/3 and how we got 32/5. Also how we ended up with 128pie/15

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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(This is not a graded assignment, this is review we did but I do not understand some stuff) I wanted to know where did we get the intergal from 0 to 2, how we went from 4r^3 to 32/3 and how we got 32/5. Also how we ended up with 128pie/15
Velocity distribution v(r)=4-R² (cm/5)
r
distance ( from the center of
a 4cm wid tube, and density distribution
flow rate
P(r) = 5 (K₂/CM³), find the mass
M (dm=pda)
2₂dq=vdA
Given a
flowing a
J
= √₂rdr
M = (²^ √²TTF dr = ²²r(4-1²) 271_rdr
2015² (91²-1³) dr = 2πT (4²²-6³²) 1²20
= 2IT (²²-23)= (15
R5
=
O
1128TT
(35)
Transcribed Image Text:Velocity distribution v(r)=4-R² (cm/5) r distance ( from the center of a 4cm wid tube, and density distribution flow rate P(r) = 5 (K₂/CM³), find the mass M (dm=pda) 2₂dq=vdA Given a flowing a J = √₂rdr M = (²^ √²TTF dr = ²²r(4-1²) 271_rdr 2015² (91²-1³) dr = 2πT (4²²-6³²) 1²20 = 2IT (²²-23)= (15 R5 = O 1128TT (35)
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