(Show the details.) 1. F = [y, x'], C the parabola y = 5x² from A: (0, 0) to B: (2, 20) 2. Fas in Prob. 1, C the shortest path from A to B. Is the integral smaller? Give reason. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Plz answer number 2 if you need reference from number i got the reference on the image below
Calculate F(r) •dr for the following data. If F is a force,
this gives the work done in the displacement along C.
(Show the details.)
1. F = [, x], C the parabola y = 5x² from A: (0, 0)
to B: (2, 20)
2. Fas in Prob. 1, C the shortest path from A to B. Is the
integral smaller? Give reason.
%3D
%3D
Transcribed Image Text:Calculate F(r) •dr for the following data. If F is a force, this gives the work done in the displacement along C. (Show the details.) 1. F = [, x], C the parabola y = 5x² from A: (0, 0) to B: (2, 20) 2. Fas in Prob. 1, C the shortest path from A to B. Is the integral smaller? Give reason. %3D %3D
F = [y3,n3]
4 c is the Perabola y - sa2 from A (0,0) +o
Bl2,20)
SF.di = Syoda tao dy
y=5a 2
since
y = 51 2
idy =10n da
%3D
%3D
7
= 125 J +10l ]
%3D
125 X 128
+ 320
64 16000
= 448+16000
= 16448
CS ne
Transcribed Image Text:F = [y3,n3] 4 c is the Perabola y - sa2 from A (0,0) +o Bl2,20) SF.di = Syoda tao dy y=5a 2 since y = 51 2 idy =10n da %3D %3D 7 = 125 J +10l ] %3D 125 X 128 + 320 64 16000 = 448+16000 = 16448 CS ne
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